A probabilistic approach to $q$-polynomial coefficients, Euler and Stirling numbers

А. И. Ильинский

Type: Preprint

Publication Date: 2004-01-01

Citations: 14

DOI: https://doi.org/10.48550/arxiv.math/0407029

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Works That Cite This (14)

Action	Title	Year	Authors
+	The q-Versions of the Bernstein Operator: From Mere Analogies to Further Developments	2016	Sofiya Ostrovska
+ PDF Chat	The norm estimates for the $q$-Bernstein operator in the case $q>1$	2009	Heping Wang Sofiya Ostrovska
+	Statistical approximation by Meyer-König and Zeller operators of finite type based on the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:mi>q</mml:mi></mml:math>-integers	2011	Тибериу Триф
+	The approximation of logarithmic function by q-Bernstein polynomials in the case q > 1	2007	Sofiya Ostrovska
+ PDF Chat	The approximation of power function by the q-Bernstein polynomials in the case qϡ1	2008	Sofiya Ostrovska
+ PDF Chat	Approximation by<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mrow><mml:mi>q</mml:mi></mml:mrow></mml:math>-Bernstein Polynomials in the Case<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M2"><mml:mi>q</mml:mi><mml:mo>→</mml:mo><mml:mn>1</mml:mn><mml:mo>+</mml:mo></mml:math>	2014	Xuezhi Wu
+	On the improvement of analytic properties under the limit q-Bernstein operator	2005	Sofiya Ostrovska
+	Discrete q-distributions on Bernoulli trials with a geometrically varying success probability	2010	Ch. A. Charalambides
+	The q-Bernstein basis as a q-binomial distribution	2010	Ch. A. Charalambides
+	The Limit q-Bernstein Operators with Varying q	2018	Manal Mastafa Almesbahi Sofiya Ostrovska Mehmet Turan

Works Cited by This (2)

Action	Title	Year	Authors
+	Convergence of Generalized Bernstein Polynomials	2002	А. И. Ильинский Sofiya Ostrovska
+	The Theory of Partitions	1984	George E. Andrews