Approximation by double second type delayed arithmetic mean of periodic functions in Hp(ω,ω)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$H_{p}^{(\omega , \omega )}$$\end{document} space

被引：0
作者：
Xh. Z. Krasniqi
P. Kórus
B. Szal
机构：
[1] University of Prishtina “Hasan Prishtina”,Faculty of Education
[2] University of Szeged,Institute of Applied Pedagogy, Juhász Gyula Faculty of Education
[3] University of Zielona Góra,Faculty of Mathematics, Computer Science and Econometrics
来源：
Boletín de la Sociedad Matemática Mexicana | 2023年 / 29卷 / 1期
关键词：
Degree of approximation; Hölder metric; Modulus of continuity; Delayed arithmetic mean; Minkowski inequality; Fourier series; 40G05; 41A25; 42A10;
D O I：
10.1007/s40590-023-00491-6
中图分类号：
学科分类号：
摘要：
In this paper, we give a degree of approximation of a function in the space Hp(ω,ω)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$H_{p}^{(\omega , \omega )}$$\end{document} by using the second type double delayed arithmetic means of its Fourier series. Such degree of approximation is expressed via two functions of moduli of continuity type. To obtain one more general result, we used the even-type double delayed arithmetic means of Fourier series as well.
引用
收藏
相关论文
共 20 条
  • [1] Das G(1996)Degree of approximation of functions by their Fourier series in the generalized Hölder metric, Indian Academy of Sciences Proc. Math. Sci. 106 139-153
  • [2] Ghosh T(2016)A note on the degree of approximation by matrix means in the generalized Hölder metric Ukr. Math. J. 68 545-556
  • [3] Ray BK(2016)On approximation by matrix means of the multiple Fourier series in the Hölder metric Kyungpook Math. J. 56 57-68
  • [4] Deǧer U(1989)Convergence of double Fourier series with coefficients of generalized bounded variation J. Math. Anal. Appl. 140 34-49
  • [5] Deǧer U(2021)Degree of approximation in the space Georgian Math. J. 28 747-753
  • [6] Móricz F(2021) by the even-type delayed arithmetic mean of Fourier series Mathematics 9 389-625
  • [7] Waterman D(2011)The Hilbert space of double fourier coefficients for an abstract Wiener space Int. Math. Forum 6 613-770
  • [8] Kim J(2020)On the degree of approximation by Fourier series of functions from the Banach space Palest. J. Math. 9 761-162
  • [9] Kim J-G(1968), in generalized Hölder metric Acta Sci. Math. (Szeged) 29 147-60
  • [10] Krasniqi XhZ(2009)Approximation by sub-matrix means of multiple Fourier series in the Hölder metric Anal. Math. 35 51-26
12