Approximation by double second type delayed arithmetic mean of periodic functions in Hp(?,?) space

被引：0

作者：

Krasniqi, Xh. Z. ^{[1
]}

Korus, P. ^{[2
]}

Szal, B. ^{[3
]}

机构：

[1] Univ Prishtina Hasan Prishtina, Fac Educ, Ave Mother Theresa 5, Prishtina 10000, Kosovo

[2] Univ Szeged, Inst Appl Pedag, Juhasz Gyula Fac Educ, Hattyas utca 10, H-6725 Szeged, Hungary

[3] Univ Zielona Gora, Fac Math Comp Sci & Econometr, ul Szafrana 4a, PL-65516 Zielona Gora, Poland

来源：

BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA | 2023年 / 29卷 / 01期

关键词：

Degree of approximation; Holder metric; Modulus of continuity; Delayed arithmetic mean; Minkowski inequality; Fourier series; FOURIER-SERIES; MATRIX MEANS; CONVERGENCE;

D O I：

10.1007/s40590-023-00491-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we give a degree of approximation of a function in the space H-p(omega,omega) 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

页数：34

共 16 条

[1] Degree of approximation in the space Hpω by the even-type delayed arithmetic mean of Fourier series
Kim, Jaeman
GEORGIAN MATHEMATICAL JOURNAL, 2021, 28 (05) : 747 - 753
[2] 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
Xh. Z. Krasniqi
P. Kórus
B. Szal
Boletín de la Sociedad Matemática Mexicana, 2023, 29 (1)
[3] Effectiveness of the Even-Type Delayed Mean in Approximation of Conjugate Functions
Krasniqi, Xh. Z.
JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES, 2023, 58 (05): : 315 - 329
[4] Effectiveness of the Even-Type Delayed Mean in Approximation of Conjugate Functions
Xh. Z. Krasniqi
Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences), 2023, 58 : 315 - 329
[5] Approximation of functions in Besov space by deferred Cesaro mean
Singh, Mradul Veer
Mittal, Madan Lal
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2016,
[6] Seminormed approximation by deferred matrix means of integrable functions in HP(ω) space
Krasniqi, Xhevat Z.
Lenski, Wlodzimierz
Szal, Bogdan
RESULTS IN MATHEMATICS, 2022, 77 (04)
[7] APPROXIMATION BY NORLUND AND RIESZ TYPE DEFERRED CESARO MEANS IN THE SPACE HP(ω)
Deger, Ugur
Bayindir, Hilal
MISKOLC MATHEMATICAL NOTES, 2018, 19 (02) : 823 - 833
[8] Degree of approximation of Fourier series of functions in Besov space by deferred Norlund mean
Padhy, Birupakhya Prasad
Nayak, Laxmipriya
ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2022, 15 (02)
[9] Padé and Padé-Type Approximation for 2π-Periodic Lp Functions
Nicholas J. Daras
Acta Applicandae Mathematica, 2000, 62 : 245 - 343
[10] A Korovkin's type approximation theorem for periodic functions via the statistical summability of the generalized de la Vallee Poussin mean
Braha, Naim L.
Srivastava, H. M.
Mohiuddine, S. A.
APPLIED MATHEMATICS AND COMPUTATION, 2014, 228 : 162 - 169

← 1 2 →