576 Accesses. Sci. Ernesto Cesàro . 13 Citations. Abstract The behavior of generalized Cesro (C, α n)-means (α n ∈ (−1,0)) of trigonometric Fourier series of H ω classes in the space of continuous functions is studied.The sharpness of … As an application, we obtain a sufficient condition for the convergence of the means σ /−α,−β (f; x, y) to f(x,y) in the L p -metric, p ∈ [1, ∞].

Cesàro Means of Subsequences of Partial Sums of Trigonometric Fourier Series György Gát 1 Constructive Approximation volume 49 , pages 59 – 101 ( 2019 ) Cite this article Request PDF | Cesàro means of double Walsh-Fourier series | We investigate approximation properties of Cesàro (C; −α, −β)-means of double Walsh-Fourier series with α, β ∈ (0, 1). The Cesàro Summability of a Series. We will now take a break from Fourier series for a moment to discuss a special type of summability known as Cesàro summability which will be useful when we delve deeper into the theory on Fourier series. Abstract.

Abstract. On the convergence of Cesàro means of negative order of Vilenkin-Fourier series Author: Gvantsa Shavardenidze shavardenidzegvantsa@gmail.com 1 View More View Less. (1999, pp. Fourier integral, Fourier integrals, Fourier series, Poisson integral, Poisson kernel, conjugate, conjugate Poisson integral, summability methods for integrals See also: Annotations for §1.15(v) , §1.15 and Ch.1 Introduction to Linear Algebra with Mathematica Glossary. Convergence rate of Cesàro means of Fourier–Laplace series Luoqing Lia,∗, Chunwu Yub a Faculty of Mathematics and Computer Science, Hubei University, Wuhan 430062, PR China b School of Computer Science, Wuhan University, Wuhan 430072, PR China Received 8 October 2005 Available online 20 March 2006 Submitted by D. Waterman Abstract In this paper, we generalize some known theorems by using a general class of quasi power increasing sequences, which is a wider class of sequences, instead of an almost increasing sequence. Fourier series allow us to represent a rather complicated function defined on a finite interval as a linear combination (which is usually infinite) of its projections onto a basis that consists of trigonometric functions. This result allows one to obtain the condition which is sufficient for the convergence of the means @s^-^@a"n(f, x) to f(x) in the L^p -metric. The Overflow Blog Steps Stack Overflow is … Metrics details. T. Tepnadze 1 & L. E. Persson 1 Journal of Inequalities and Applications volume 2018, Article number: 352 (2018) Cite this article. Then there exists a continuous function f 0 ∈PBV 1 such that the Cesàro (C;−α,−β) means σ n,m −α,−β (f 0;0,0) of the double Walsh–Fourier series of f …

Acad. (The notation for the fractional derivative is slightly different.) We also show that this condition cannot be improved in the case p=1. 606–607).

Fourier series, XVI. This result tells us that the study of the convergence of Fourier–Laplace series in the logarith-mic subclasses is related to the classical Dini’s conditions for the Fourier series [10]. In this paper we establish approximation properties of Cesàro (C, −α) means with α ∈ (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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