|
+
|
Approximations of the Harmonic Numbers
|
2025
|
Chao-Ping Chen
Cristinel Mortici
|
|
+
|
AN APPROXIMATION FORMULA FOR THE WALLIS RATIO IN A SIMPLE FORM
|
2024
|
Chao-Ping Chen
Cristinel Mortici
|
|
+
|
A CBS inequality in ℤ
|
2024
|
Cristinel Mortici
|
|
+
|
A SIMPLE FORMULA FOR EVALUATING THE KELLER’S SEQUENCE
|
2024
|
Cristinel Mortici
|
|
+
|
Refinements of some inequalities involving means
|
2024
|
Cristinel Mortici
Leonard Giugiuc
|
|
+
PDF
Chat
|
The relationship between Huygens’ and Wilker’s inequalities and further remarks
|
2023
|
Chao-Ping Chen
Cristinel Mortici
|
|
+
PDF
Chat
|
Asymptotic expansions and inequalities relating to the gamma function
|
2022
|
Chao-Ping Chen
Cristinel Mortici
|
|
+
PDF
Chat
|
The monotonicity of Darboux and 2-injective functions
|
2021
|
Cristinel Mortici
|
|
+
PDF
Chat
|
Extensions of the natural approach to refinements and generalizations of some trigonometric inequalities
|
2018
|
Branko Malešević
Tatjana Lutovac
Marija Rašajski
Cristinel Mortici
|
|
+
|
Accurate estimates of (1+x)^{1/x} Involved in Carleman Inequality and Keller Limit
|
2018
|
Branko Malešević
Yue Hu
Cristinel Mortici
|
|
+
|
Accurate estimates of (1+x)^{1/x} Involved in Carleman Inequality and Keller Limit
|
2018
|
Branko Malešević
Yue Hu
Cristinel Mortici
|
|
+
|
Extentions of the natural approach to refinements and generalizations of Wilker-Cusa-Huygens's inequalities
|
2017
|
Branko Malešević
Tatjana Lutovac
Marija Rašajski
Cristinel Mortici
|
|
+
PDF
Chat
|
The natural algorithmic approach of mixed trigonometric-polynomial problems
|
2017
|
Tatjana Lutovac
Branko Malešević
Cristinel Mortici
|
|
+
|
About Karamata Mean Value Theorem, Some Consequences and Some Stability Results
|
2017
|
Dan Ştefan Marinescu
Mihai Monea
Cristinel Mortici
|
|
+
|
Some properties of a sequence arising from geometric probability for pairs of hyperplanes intersecting with a convex body
|
2017
|
Feng Qi
Cristinel Mortici
Bai‐Ni Guo
|
|
+
|
Riemann and Darboux Sums
|
2017
|
Titu Andreescu
Cristinel Mortici
Marian Tetiva
|
|
+
|
Equivalence Relations on Groups and Factor Groups
|
2017
|
Titu Andreescu
Cristinel Mortici
Marian Tetiva
|
|
+
|
Mathematical (and Other) Bridges
|
2017
|
Titu Andreescu
Cristinel Mortici
Marian Tetiva
|
|
+
|
The Extreme Value Theorem
|
2017
|
Titu Andreescu
Cristinel Mortici
Marian Tetiva
|
|
+
|
The Splitting Method and Double Sequences
|
2017
|
Titu Andreescu
Cristinel Mortici
Marian Tetiva
|
|
+
|
Derivatives and Functions’ Variation
|
2017
|
Titu Andreescu
Cristinel Mortici
Marian Tetiva
|
|
+
|
The Intermediate Value Theorem
|
2017
|
Titu Andreescu
Cristinel Mortici
Marian Tetiva
|
|
+
PDF
Chat
|
Some characterizations of inner product spaces via some geometrical inequalities
|
2017
|
Dan Ştefan Marinescu
Mihai Monea
Cristinel Mortici
|
|
+
|
Mathematical Bridges
|
2017
|
Titu Andreescu
Cristinel Mortici
Marian Tetiva
|
|
+
|
Uniform Continuity
|
2017
|
Titu Andreescu
Cristinel Mortici
Marian Tetiva
|
|
+
|
Levinson-Popoviciu inequality on the inner product spaces
|
2016
|
Dan Ştefan Marinescu
Mihai Monea
Cristinel Mortici
|
|
+
|
Series associated to some expressions involving the volume of the unit ball and applications
|
2016
|
Cristinel Mortici
|
|
+
PDF
Chat
|
On the Keller limit and generalization
|
2016
|
Yue Hu
Cristinel Mortici
|
|
+
PDF
Chat
|
New approximations of some expressions involving trigonometric functions
|
2016
|
Marija Nenezić
Branko Malešević
Cristinel Mortici
|
|
+
|
Estimates for Wallis’ ratio and related functions
|
2016
|
Cristinel Mortici
Valentin Cristea
|
|
+
|
Some new approximations of Glaisher–Kinkelin's and Bendersky–Adamchik's constants by continued fraction
|
2016
|
Dawei Lu
Cristinel Mortici
Lixin Song
|
|
+
|
On Some Mean Value Points Defined by Divided Differences and Their Hyers–Ulam Stability
|
2016
|
Dan Ştefan Marinescu
Mihai Monea
Cristinel Mortici
|
|
+
PDF
Chat
|
Some inequalities for the trigamma function in terms of the digamma function
|
2015
|
Feng Qi
Cristinel Mortici
|
|
+
|
Some Contributions to A Subtly Analysis of Wilker inequality
|
2015
|
Marija Nenezić
Branko Malešević
Cristinel Mortici
|
|
+
|
Efficient approximations of the gamma function and further properties
|
2015
|
Cristinel Mortici
Sorinel Dumitrescu
|
|
+
|
The stability of some points arising from continuous, differential and integral expressions
|
2015
|
Cristinel Mortici
Mihai Monea
Dan Ştefan Marinescu
|
|
+
|
A Very Elementary Proof of Bernoulli's Inequality
|
2015
|
Cristinel Mortici
|
|
+
PDF
Chat
|
Asymptotic Formulas and Inequalities for the Gamma Function in Terms of the Tri-Gamma Function
|
2015
|
Cristinel Mortici
Feng Qi
|
|
+
PDF
Chat
|
Some best approximation formulas and inequalities for the Wallis ratio
|
2015
|
Feng Qi
Cristinel Mortici
|
|
+
|
Estimates of the function and quotient by Minc–Sathre
|
2015
|
Cristinel Mortici
|
|
+
|
Asymptotic series and inequalities associated to some expressions involving the volume of the unit ball
|
2015
|
Cristinel Mortici
|
|
+
PDF
Chat
|
Estimates of (1+x)1/x involved in Carleman’s inequality and Keller’s limit
|
2015
|
Cristinel Mortici
Xiefu Jang
|
|
+
|
Multiple-correction and summation of the rational series
|
2015
|
Xiaodong Cao
Cristinel Mortici
|
|
+
|
OPTIMIZING THE CONVERGENCE RATE OF THE WALLIS SEQUENCE
|
2015
|
Cristinel Mortici
|
|
+
|
Funny Forms of the Mean Value Theorem
|
2015
|
Cristinel Mortici
|
|
+
PDF
Chat
|
On some convergences to the constant e and improvements of Carleman’s inequality
|
2015
|
Cristinel Mortici
Yue Hu
|
|
+
PDF
Chat
|
A survey on the stability of mean value points and functional equations involving some special functions
|
2015
|
Sorinel Dumitrescu
Mihai Monea
Cristinel Mortici
|
|
+
|
Asymptotic series and inequalities associated to some expressions involving the volume of the unit ball
|
2015
|
Cristinel Mortici
|
|
+
|
On a functional equation of trigonometric type
|
2014
|
Soon-Mo Jung
Michael Th. Rassias
Cristinel Mortici
|
|
+
|
On the Ramanujan–Lodge harmonic number expansion
|
2014
|
Cristinel Mortici
Mark B. Villarino
|
|
+
|
Sharp bounds for gamma function in terms of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mrow><mml:msup><mml:mrow><mml:mi>x</mml:mi></mml:mrow><mml:mrow><mml:mi>x</mml:mi><mml:mo>-</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>
|
2014
|
Cristinel Mortici
|
|
+
PDF
Chat
|
REFINEMENTS OF RAMANUJAN FORMULA FOR GAMMA FUNCTION
|
2014
|
Sorina Dumitrescu
Cristinel Mortici
|
|
+
PDF
Chat
|
Sharp inequalities related to the constant e
|
2014
|
Yue Hu
Cristinel Mortici
|
|
+
|
On the growth rate of divergent series
|
2014
|
Cristinel Mortici
Michael Th. Rassias
|
|
+
|
The inhomogeneous Euler equation and its Hyers–Ulam stability
|
2014
|
Cristinel Mortici
Themistocles M. Rassias
Soon-Mo Jung
|
|
+
|
A product approximation of the gamma function
|
2014
|
Cristinel Mortici
H. M. Srivastava
|
|
+
|
Refinements of Jordan–Stečkin and Becker–Stark Inequalities
|
2014
|
Lokenath Debnath
Cristinel Mortici
Ling Zhu
|
|
+
|
A new fast asymptotic series for the gamma function
|
2014
|
Cristinel Mortici
|
|
+
|
Some new quicker approximations of Glaisher–Kinkelin's and Bendersky–Adamchik's constants
|
2014
|
Dawei Lu
Cristinel Mortici
|
|
+
|
On an infinite series for $(1+1/x)^x$
|
2014
|
Cristinel Mortici
Yue Hu
|
|
+
|
Completely monotonic functions and inequalities associated to some ratio of gamma function
|
2014
|
Cristinel Mortici
Valentin Cristea
Dawei Lu
|
|
+
PDF
Chat
|
A subtly analysis of Wilker inequality
|
2014
|
Cristinel Mortici
|
|
+
PDF
Chat
|
A Lower Bound on the Sinc Function and Its Application
|
2014
|
Yue Hu
Cristinel Mortici
|
|
+
PDF
Chat
|
On the Stability of a Functional Equation Associated with the Fibonacci Numbers
|
2014
|
Cristinel Mortici
Michael Th. Rassias
Soon-Mo Jung
|
|
+
PDF
Chat
|
Estimates for the arctangent function related to Shafer's inequality
|
2014
|
Cristinel Mortici
H. M. Srivastava
|
|
+
|
On the coefficients of an expansion of $(1+1/x)^x$ related to Carleman's inequality
|
2014
|
Yue Hu
Cristinel Mortici
|
|
+
|
Methods and Algorithms for Approximating the Gamma Function and Related Functions. A survey. Part II: Completely monotonic functions
|
2014
|
Cristinel Mortici
|
|
+
|
On an infinite series for $(1+1/x)^x$
|
2014
|
Cristinel Mortici
Yue Hu
|
|
+
|
A subtly analysis of Wilker inequality
|
2013
|
Cristinel Mortici
|
|
+
|
A survey on recent extensions of the Stirling formula
|
2013
|
Sorinel Dumitrescu
Cristinel Mortici
|
|
+
|
Latter research on Euler-Mascheroni constant
|
2013
|
Valentin Cristea
Cristinel Mortici
|
|
+
PDF
Chat
|
On the harmonic number expansion by Ramanujan
|
2013
|
Cristinel Mortici
Chao-Ping Chen
|
|
+
|
Limits and inequalities associated with the Euler–Mascheroni constant
|
2013
|
Chao-Ping Chen
Cristinel Mortici
|
|
+
|
Approximating the constants of Glaisher–Kinkelin type
|
2013
|
Cristinel Mortici
|
|
+
|
On some convergences to the constant e and improvements of Carlemans' inequality
|
2013
|
Cristinel Mortici
Yue Hu
|
|
+
|
Inequalities Becker-Stark at extreme points
|
2013
|
Ling Zhu
Cristinel Mortici
|
|
+
PDF
Chat
|
New sharp estimates of the generalized Euler-Mascheroni constant
|
2013
|
Vasile Berinde
Cristinel Mortici
|
|
+
PDF
Chat
|
Gamma function by x x−1
|
2013
|
Cristinel Mortici
|
|
+
|
A subtly analysis of Wilker inequality
|
2013
|
Cristinel Mortici
|
|
+
|
A survey on recent extensions of the Stirling formula
|
2013
|
Sorinel Dumitrescu
Cristinel Mortici
|
|
+
|
Latter research on Euler-Mascheroni constant
|
2013
|
Valentin Cristea
Cristinel Mortici
|
|
+
|
Further improvements of some double inequalities for bounding the gamma function
|
2012
|
Cristinel Mortici
|
|
+
|
A continued fraction approximation of the gamma function
|
2012
|
Cristinel Mortici
|
|
+
|
On the Stirling Series of Gamma Function
|
2012
|
Cristinel Mortici
|
|
+
PDF
Chat
|
Latter research on Euler-Mascheroni constant
|
2012
|
Valentin Cristea
Cristinel Mortici
|
|
+
|
A New Representation Formula for the Factorial Function
|
2012
|
Cristinel Mortici
|
|
+
PDF
Chat
|
Sharpness of Muqattash-Yahdi problem
|
2012
|
Chao-Ping Chen
Cristinel Mortici
|
|
+
|
A Power Series Approach to Some Inequalities
|
2012
|
Cristinel Mortici
|
|
+
|
DIGIT-AMICABLE NUMBERS
|
2012
|
Dumitru Acu
Cristinel Mortici
|
|
+
PDF
Chat
|
Gamma function estimates via completely monotonicity arguments
|
2012
|
Cristinel Mortici
|
|
+
PDF
Chat
|
An improvement of the Ramanujan formula for approximation of the Euler gamma function
|
2012
|
Cristinel Mortici
|
|
+
PDF
Chat
|
Constant that improve (double) factorial
|
2012
|
Cristinel Mortici
Chao-Ping Chen
|
|
+
|
A new refinement of the Radon inequality
|
2011
|
Cristinel Mortici
|
|
+
|
Completely monotone functions and the Wallis ratio
|
2011
|
Cristinel Mortici
|
|
+
|
A converse of a result about the floor function by Hermite
|
2011
|
Cristinel Mortici
|
|
+
|
Refinements of Gurland’s formula for pi
|
2011
|
Cristinel Mortici
|
|
+
|
Error estimates of Ramanujan-type series
|
2011
|
Cristinel Mortici
|
|
+
|
Some completely monotonic functions relating to the gamma function
|
2011
|
Cristinel Mortici
|
|
+
|
On Ramanujan’s large argument formula for the Gamma function
|
2011
|
Cristinel Mortici
|
|
+
|
The asymptotic expansion of an approximation formula for the factorial function
|
2011
|
Cristinel Mortici
|
|
+
|
On a Sum of the Psi Function with a Logarithm ABSTRACT | FULL TEXT
|
2011
|
Cristinel Mortici
|
|
+
|
Improved asymptotic formulas for the gamma function
|
2011
|
Cristinel Mortici
|
|
+
|
New sequence converging towards the Euler–Mascheroni constant
|
2011
|
Chao-Ping Chen
Cristinel Mortici
|
|
+
|
New forms of Stolz–Cesaró lemma
|
2011
|
Cristinel Mortici
|
|
+
|
A substantial improvement of the Stirling formula
|
2011
|
Cristinel Mortici
|
|
+
|
Ramanujan’s estimate for the gamma function via monotonicity arguments
|
2011
|
Cristinel Mortici
|
|
+
PDF
Chat
|
New inequalities for some special functions via the Cauchy-Buniakovsky-Schwarz inequality
|
2011
|
Cristinel Mortici
|
|
+
PDF
Chat
|
New inequalities for some special functions via the Cauchy-Buniakovsky-Schwarz inequality
|
2011
|
Cristinel Mortici
|
|
+
PDF
Chat
|
New inequalities for some special functions via the Cauchy-Buniakovsky-Schwarz inequality
|
2011
|
Cristinel Mortici
|
|
+
|
Accurate Estimates of the Gamma Function Involving the PSI Function
|
2011
|
Cristinel Mortici
|
|
+
|
The best rational remainders in the Stirling formula
|
2011
|
Cristinel Mortici
|
|
+
|
Some connections of monotonicity with Weierstrass extreme value theorem
|
2011
|
Cristinel Mortici
|
|
+
|
On the monotonicity and convexity of the remainder of the Stirling formula
|
2011
|
Cristinel Mortici
|
|
+
|
New Sharp Bounds for Gamma and Digamma Functions
|
2011
|
Cristinel Mortici
|
|
+
PDF
Chat
|
On Gospers formula for the Gamma function
|
2011
|
Cristinel Mortici
|
|
+
PDF
Chat
|
The quotient of gamma functions by the psi function
|
2011
|
Cristinel Mortici
|
|
+
|
ON A SUM OF THE PSI FUNCTION WITH A LOGARITHM
|
2011
|
Cristinel Mortici
|
|
+
PDF
Chat
|
The natural approach of Wilker-Cusa-Huygens inequalities
|
2011
|
Cristinel Mortici
|
|
+
PDF
Chat
|
Refinements of some bounds related to the constant $e$
|
2011
|
Cristinel Mortici
|
|
+
PDF
Chat
|
Sharp form of inequality for the constant e
|
2011
|
Chao-Ping Chen
Cristinel Mortici
|
|
+
PDF
Chat
|
Sharp bounds of the Landau constants
|
2010
|
Cristinel Mortici
|
|
+
|
Sharp inequalities and complete monotonicity for the Wallis ratio
|
2010
|
Cristinel Mortici
|
|
+
|
Accurate approximations of the Mathieu series
|
2010
|
Cristinel Mortici
|
|
+
|
On arithmetic functions means
|
2010
|
Cristinel Mortici
|
|
+
|
Estimating the digamma and trigamma functions by completely monotonicity arguments
|
2010
|
Cristinel Mortici
|
|
+
|
ON A CONVERGENCE BY DETEMPLE
|
2010
|
Chao-Ping Chen
Cristinel Mortici
|
|
+
|
Estimating the Somos' quadratic recurrence constant
|
2010
|
Cristinel Mortici
|
|
+
|
On some Euler–Mascheroni type sequences
|
2010
|
Cristinel Mortici
|
|
+
|
Ramanujan formula for the generalized Stirling approximation
|
2010
|
Cristinel Mortici
|
|
+
|
Asymptotic expansions of the generalized Stirling approximations
|
2010
|
Cristinel Mortici
|
|
+
|
The asymptotic series of the generalized Stirling formula
|
2010
|
Cristinel Mortici
|
|
+
|
New improvements of the Stirling formula
|
2010
|
Cristinel Mortici
|
|
+
|
Estimating gamma function by digamma function
|
2010
|
Cristinel Mortici
|
|
+
|
New approximation formulas for evaluating the ratio of gamma functions
|
2010
|
Cristinel Mortici
|
|
+
|
A new Stirling series as continued fraction
|
2010
|
Cristinel Mortici
|
|
+
|
On new sequences converging towards the Euler–Mascheroni constant
|
2010
|
Cristinel Mortici
|
|
+
PDF
Chat
|
Sharp inequalities related to Gosper's formula
|
2010
|
Cristinel Mortici
|
|
+
PDF
Chat
|
Sharp bounds for gamma and digamma function arising from Burnside's formula
|
2010
|
Cristinel Mortici
|
|
+
|
The proof of Muqattash–Yahdi conjecture
|
2010
|
Cristinel Mortici
|
|
+
|
Monotonicity properties of the volume of the unit ball in $${\mathbb{R}^{n}}$$
|
2010
|
Cristinel Mortici
|
|
+
|
Improvement of classical convergence to Gamma constant
|
2010
|
Cristinel Mortici
|
|
+
|
Very accurate estimates of the polygamma functions
|
2010
|
Cristinel Mortici
|
|
+
PDF
Chat
|
Fast convergences towards Euler-Mascheroni constant
|
2010
|
Cristinel Mortici
|
|
+
|
OPTIMIZING THE RATE OF CONVERGENCE IN SOME NEW CLASSES OF SEQUENCES CONVERGENT TO EULER'S CONSTANT
|
2010
|
Cristinel Mortici
|
|
+
|
On the stirling expansion into negative powers of a triangular number
|
2010
|
Cristinel Mortici
|
|
+
PDF
Chat
|
New sharp inequalities for approximating the factorial function and the digamma function
|
2010
|
Cristinel Mortici
|
|
+
PDF
Chat
|
A new method for establishing and proving accurate bounds for the Wallis ratio
|
2010
|
Cristinel Mortici
|
|
+
|
Product Approximations via Asymptotic Integration
|
2010
|
Cristinel Mortici
|
|
+
|
A sharp inequality involving the psi function.
|
2010
|
Cristinel Mortici
|
|
+
|
A class of integral approximations for the factorial function
|
2009
|
Cristinel Mortici
|
|
+
|
Best estimates of the generalized Stirling formula
|
2009
|
Cristinel Mortici
|
|
+
|
Improved convergence towards generalized Euler–Mascheroni constant
|
2009
|
Cristinel Mortici
|
|
+
|
New approximations of the gamma function in terms of the digamma function
|
2009
|
Cristinel Mortici
|
|
+
|
An ultimate extremely accurate formula for approximation of the factorial function
|
2009
|
Cristinel Mortici
|
|
+
|
An Extension of the Szasz-Mirakjan Operators
|
2009
|
Cristinel Mortici
|
|
+
|
Arithmetic mean of values and value at mean of arguments for convex functions
|
2008
|
Cristinel Mortici
|
|
+
PDF
Chat
|
ARITHMETIC MEAN OF VALUES AND VALUE AT MEAN OF ARGUMENTS FOR CONVEX FUNCTIONS
|
2008
|
Cristinel Mortici
|
|
+
|
New results in discrete asymptotic analysis
|
2008
|
Andrei Vernescu
Cristinel Mortici
|
|
+
PDF
Chat
|
The distance between fixed points of some pairs of maps in Banach spaces and applications to differential systems
|
2006
|
Cristinel Mortici
|
|
+
|
A NONSMOOTH EXTENSION FOR THE BERNSTEIN-STANCU OPERATORS AND AN APPLICATION
|
2006
|
Cristinel Mortici
Ingrid Oancea
|
|
+
|
NONEXISTENCE OF NONTRIVIAL PERIODIC SOLUTIONS FOR SEMILINEAR WAVE EQUATIONS
|
2006
|
Cristinel Mortici
|
|
+
PDF
Chat
|
Approximation Methods for Solving the Cauchy Problem
|
2005
|
Cristinel Mortici
|
|
+
|
A new simple proof for an inequality of Chebyshev type.
|
2005
|
Cristinel Mortici
|
|
+
|
AN IMPROVEMENT OF THE CONVERGENCE SPEED OF THE SEQUENCE (γn) n≥1 CONVERGING TO EULER'S CONSTANT
|
2005
|
Cristinel Mortici
Andrei Vernescu
|
|
+
|
A coincidence degree for bifurcation problems
|
2003
|
Cristinel Mortici
Silviu Sburlan
|
|
+
|
A basic decomposition result related to the notion of the rank of a matrix and applications.
|
2003
|
Cristinel Mortici
|
|
+
|
AN APPLICATION OF DEGREE THEORY TO THE PROBLEM OF FORCED OSCILLATIONS OF A PENDULUM
|
2003
|
Cristinel Mortici
|
|
+
|
SEMILINEAR EQUATIONS IN HILBERT SPACES WITH QUASI-POSITIVE NONLINEARITY
|
2001
|
Cristinel Mortici
|
|
+
|
On the unique solvability of semilinear problems with strong monotone nonlinearity
|
1998
|
Cristinel Mortici
|
|
+
|
Semilinear equations with strongly monotone nonlinearity
|
1997
|
Cristinel Mortici
|