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arXiv · 1811.07705

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

Tsitsino Tepnadze
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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.

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Tsitsino Tepnadze. 2018-11-15. On the Approximation Properties of Cesàro Means of Negative Order of double Vilenkin-Fourier Series. https://arxiv.org/abs/1811.07705

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