On the Approximation Properties of Cesàro Means of Negative Order of double Vilenkin-Fourier Series

2018/11/15 by Tsitsino Tepnadze, Tepnadze, Tsitsino · 2 citations
Immunology and Microbiology · Mathematics · #Advanced Harmonic Analysis Research #Analysis of PDEs (math.AP) #Approximation Theory and Sequence Spaces #Biomarkers in Disease Mechanisms #FOS: Mathematics #math.AP

paper · pdf · doi:10.48550/arxiv.1811.07705

arXiv admin note: substantial text overlap with arXiv:1811.07704; text overlap with arXiv:1609.01646, arXiv:1609.01642 by other authors

arxiv created 2018/11/15 · openalex publication_date 2018/11/15 · arxiv updated 2018/11/20 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28

Abstract

In this paper we establish approximation properties of Cesàro % (C,-α,-β) means with α,β ε (0,1) of Vilenkin-Fourier series.This result allows one to obtain a condition which is sufficient for the convergence of the means σ_n,m^-α,-β(x,y,f) to f(x,y) in the L^p-metric.

Citations

• On the Approximation Properties of Cesàro Means of Negative Order of Vilenkin-Fourier Series
• Strong Summability of Two-Dimensional Vilenkin Fourier series
• Pointwise convergence of Marcinkiewicz-Fejer means of double Vilenkin-Fourier series

Cited by

• On the Approximation Properties of Cesàro Means of Negative Order of Vilenkin-Fourier Series
• Some inequalities for Cesàro Means of double Vilenkin-Fourier Series

Related

• On the Approximation Properties of Cesàro Means of Negative Order of Vilenkin-Fourier Series
• Some inequalities for Cesàro Means of double Vilenkin-Fourier Series
• On the convergence of Cesàro means of negative order of double trigonometric Fourier series of functions of bounded partial generalized variation
• Pointwise convergence of Marcinkiewicz-Fejer means of double Vilenkin-Fourier series
• On Cesáro summability of Fourier series of functions from multidimensional Waterman classes