One-sided approximation in L of the characteristic function of an interval by trigonometric polynomials

А. Г. Бабенко, Yu. V. Kryakin, V. A. Yudin

Type: Article

Publication Date: 2013-04-01

Citations: 11

DOI: https://doi.org/10.1134/s0081543813020041

View Publication

Download PDF

Locations

Proceedings of the Steklov Institute of Mathematics - View
Electronic scientific archive of UrFU (Ural Federal University) - View - PDF

Similar Works

Action	Title	Year	Authors
+	Integral approximation of the characteristic function of an interval by trigonometric polynomials	2009	А. Г. Бабенко Yu. V. Kryakin
+	One-sided integral approximation of the characteristic function of an interval by algebraic polynomials	2017	A. Yu. Torgashova
+	Best One-Sided Approximation in the Mean of the Characteristic Function of an Interval by Algebraic Polynomials	2020	M. V. Deikalova A. Yu. Torgashova
+	A Computational Method with MAPLE for a Piecewise Polynomial Approximation to the Trigonometric Functions	2018	Le Phuong Quan
+	On trigonometric polynomials deviating least from zero on an interval	2013	Alexey Lukashov С. В. Тышкевич
+ PDF Chat	The best one-side approximation of classes of integrals of fractional order with regard to position of point on interval	2021	A.M. Pas'ko
+ PDF Chat	A Computational Method with MAPLE for a Piecewise Polynomial Approximation to the Trigonometric Functions	2018	Le Phuong Quan
+	Approximation by a kind of ( 0,p(D)) trigonometric interpolation polynomials	2003	Jiao Wei-dong
+ PDF Chat	On one-sided approximation by trigonometrical polynomials	1956	Tord H. Ganelius
+	The correctness problem for best approximations by trigonometric polynomials in the class W o r H[?]C	1977	András Kroó
+	Weighted one-sided approximation of characteristic functions of intervals by polynomials on a closed interval = ОДНОСТОРОННИЕ ИНТЕГРАЛЬНЫЕ ПРИБЛИЖЕНИЯХАРАКТЕРИСТИЧЕСКИХ ФУНКЦИЙ ИНТЕРВАЛОВМНОГОЧЛЕНАМИ НА ОТРЕЗКЕ С ВЕСОМ	2015	А. Г. Бабенко M. V. Deikalova Szilárd Gy. Révész
+	Approximation of Entire Functions of Exponential Type by Trigonometric Polynomials	2007	Gerhard Schmeißer
+	Approximation of functions of the class $$H_{\omega _2 }^2 $$ by trigonometric interpolation polynomials with equally spaced nodes	1980	Yu. R. Vainerman
+	Approximation of Unbounded Functions by Trigonometric Polynomials	2017	Alaa Auad
+	Exact values of best one-sided approximations by trigonometric polynomials and splines	1983	G. A. Totkov
+	Approximation of several dimensional functions by trigonometric polynomials	2006	Minde Cheng Yonghe Chen
+	Rational Tabulated Values of Trigonometric Functions	1962	L. Carlitz Joseph Miller Thomas
+ PDF Chat	The Chebyshev Polynomial of Best Approximation to a Given Function on an Interval	1966	O. Shisha
+ PDF Chat	The Chebyshev polynomial of best approximation to a given function on an interval	1966	Oved Shisha
+	The best polynomial approximation of functions analytic in the unit circle	1990	С. Б. Вакарчук

Works That Cite This (10)

Action	Title	Year	Authors
+	Estimates for mean-square norms of functions with lacunary Fourier series	2017	А. Г. Бабенко V. A. Yudin
+ PDF Chat	One-sided weighted integral approximation of characteristic functions of intervals by polynomials on a closed interval	2017	А. Г. Бабенко M. V. Deikalova Sz. Gy. Révész
+ PDF Chat	Extremal Functions with Vanishing Condition	2015	Friedrich Littmann Mark Spanier
+	Best One-Sided Approximation in the Mean of the Characteristic Function of an Interval by Algebraic Polynomials	2020	M. V. Deikalova A. Yu. Torgashova
+	THE PROBLEM OF BEST ONE SIDED APPROXIMATION IN WEIGHTED	2023	Raheam A. Al-Saphory Alaa Adnan Auad Abdullah A. Al-Hayani
+ PDF Chat	ONE-SIDED L-APPROXIMATION ON A SPHERE OF THE CHARACTERISTIC FUNCTION OF A LAYER	2018	M. V. Deikalova A. Yu. Torgashova
+ PDF Chat	Best One-Sided Multiplier Approximation of Unbounded Functions by Trigonometric Polynomials	2021	Saheb K. A-Saidy Naseif J. Al-Jawari Raad F. Hassan
+ PDF Chat	Best One Sided Multiplier Approximation of Unbounded Functions by Polynomials Operators	2022	Raad Falih Hassan Saheb K. AL-Saidy Naseif J. Al-Jawari
+	Best one-sided approximation and optimal Hermite–Fejér interpolation on an infinite interval	2024	Dandan Guo Yongping Liu
+	One – Sided Approximation in Lp(X)	2024	Ali Hussein Zaboon

Works Cited by This (13)

Action	Title	Year	Authors
+ PDF Chat	Introduction to Analytic Number Theory	1976	Tom M. Apostol
+	Introduction to Analytic Number Theory	1988	Alexander Postnikov
+ PDF Chat	Positive quadrature formulas III: asymptotics of weights	2008	Franz Peherstorfer
+	Ten Lectures on the Interface between Analytic Number Theory and Harmonic Analysis	1994	Hugh L. Montgomery
+	Approximate Calculation of Integrals	1964	Seymour Haber V. I. Krylov
+ PDF Chat	𝐿¹-approximation with constraints	1990	Allan Pinkus Hans Strauß
+	Approximate Calculation of Integrals.	1965	E. K. Blum V. I. Krylov A. H. Stoud
+	On Mechanical Quadratures Formulae Involving the Classical Orthogonal Polynomials	1934	C. Winston
+ PDF Chat	Quelques recherches sur la théorie des quadratures dites mécaniques	1884	T. J. Stieltjes
+ PDF Chat	Orthogonal Polynomials	1971