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arXiv · 1811.07704

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

Tsitsino Tepnadze
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Abstract

In this paper we establish approximation properties of Cesàro $(C,-α)$ means with $α$ $ε$ $(0,1)$ of Vilenkin-Fourier series.This result allows one to obtain a condition which is sufficient for the convergence of the means $σ_n^{-α}(f,x)$ to $f(x)$ 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 Vilenkin-Fourier Series. https://arxiv.org/abs/1811.07704

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