Approximation of functions from Lp(ω)β by matrix means of their Fourier series

被引：0

作者：

Radosława Kranz

Włodzimierz Łenski

Bogdan Szal

机构：

[1] University of Zielona Góra,Faculty of Mathematics, Computer Science and Econometrics

来源：

Indian Journal of Pure and Applied Mathematics | 2012年 / 43卷

关键词：

Rate of approximation; summability of Fourier series; Lipschitz classes;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We formulate some special conditions for the integrable functions and moduli of continuity. We give the results on rate of approximation of such functions by matrix means of their Fourier series, where the entries of the rows of the matrix generate the sequences belonging to the classes MRBVS and MHBVS, We also present some results on norm approximation for functions from the generalized integral Lipschitz classes.

引用

页码：475 / 494

页数：19

共 11 条

[1]

Dyachenko M.(2007)Convergence of trigonometric series with general monotone coefficients C. R. Acad. Sci. Paris 345 123-126

[2]

Tikhonov S.(2009)Approximation of functions belonging to the generalized Lipschitz Class by Appl. Math. Comput. 209 346-350

[3]

Lal S.(2004) summability method of Fourier series Acta Math. Hungar. 104 105-113

[4]

Leindler L.(2007)On the degree of approximation of continuous functions J. Inequal. Pure and Appl Math. 8 38-1098

[5]

Leindler L.(2011)Integrability conditions pertaining to Orlicz space Math. Nachr. 284 1083-24

[6]

Liflyand E.(2009)A concept of general monotonicity and applications Acta Comment. Univ. Tartu. Math. 13 11-94

[7]

Tikhonov S.(2008)Approximation of functions belonging to the class Commentat. Math. 48 85-735

[8]

Łenski W.(2007) ( J. Math. Anal Appl. 326 721-undefined

[9]

Szal B.(undefined)) undefined undefined undefined-undefined

[10]

Szal B.(undefined) by linear operators undefined undefined undefined-undefined

← 1 2 →