Results 11 to 20 of about 383 (244)

On the degree of approximation of Fourier series based on a certain class of product deferred summability means

open access: yesJournal of Inequalities and Applications, 2023
In this article, we first introduce and study the basic concepts of deferred Euler and deferred Nörlund product summability means of Fourier series of arbitrary periodic functions.
Bidu Bhusan Jena   +2 more
doaj   +1 more source

A new factor theorem for generalized absolute Riesz summability

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2019
The aim of this paper is to consider an absolute summability method and generalize a theorem concerning $\left|\bar{N},p_{n}\right|_{k}$ summability of infinite series to ${\varphi-\mid{\bar{N},p_n;\delta}\mid}_k$ summability of infinite series by using ...
A. Karakaş
doaj   +1 more source

Cesàro Summability Involving $\delta$-Quasi-Monotone and Almost Increasing Sequences

open access: yesJournal of New Theory, 2022
This paper generalises a well-known theorem on ${\mid{C},\rho\mid}_\kappa$ summability to the $\varphi-{\mid{C},\rho;\beta\mid}_\kappa$ summability of an infinite series using an almost increasing and a $\delta$-quasi monotone sequence.
Bağdagül Kartal
doaj   +1 more source

Summability of Jacobi Series [PDF]

open access: yesTransactions of the American Mathematical Society, 1973
The positivity of some Cesàro mean is proven for Jacobi series Σ a n P n ( α , β ) ( x ) , α , β ≧ − 1
openaire   +2 more sources

On Strong Approximation in Generalized Hölder and Zygmund Spaces

open access: yesComputer Sciences & Mathematics Forum, 2023
The strong approximation of a function is a useful tool to analyze the convergence of its Fourier series. It is based on the summability techniques. However, unlike matrix summability methods, it uses non-linear methods to derive an auxiliary sequence ...
Birendra Singh, Uaday Singh
doaj   +1 more source

Resumming Not Summable Perturbative Series [PDF]

open access: yesActa Physica Polonica B, 2013
In this paper, we present results of high precision computations for the ground energy of weakly coupled double well potential in quantum mechanics. We give a numerical evidence for cancelation of imaginary contributions to energy coming from Borel resummation and multi-instanton terms.
Ambroziński, Zbigniew, Wosiek, Jacek
openaire   +3 more sources

Approximation of functions by (C,2)(E,1) product summability method of Fourier series

open access: yesRatio Mathematica, 2020
Various investigators such as Leindler [10], Chandra [1], Mishra et al. [7], Khan [11], Kushwaha [6] have determined the degree of approximation of  2 pai-periodic functions belonging to generalized Lipschitz class of functions through trigonometric ...
Jitendra Kumar Kushwaha
doaj   +1 more source

On Gradual Borel Summability Method of Rough Convergence of Triple Sequences of Beta Stancu Operators

open access: yesDera Natung Government College Research Journal, 2023
We define the concept of rough limit set of a triple sequence space of beta Stancu operators of Borel summability of gradual real numbers and obtain the relation between the set of rough limit and the extreme limit points of a triple sequence space of ...
Arulmani İndumathi   +2 more
doaj   +1 more source

ON STRONG SUMMABILITY OF THE FOURIER SERIES VIA DEFERRED RIESZ MEAN

open access: yesПроблемы анализа
The strong summability technique has attracted a remarkably large number of researchers for better convergence analysis of infinite series as well as Fourier series in the study of summability theory.
J. Sahoo, B. B. Jena, S. K. Paikray
doaj   +1 more source

On the summability of divergent power series solutions for certain first-order linear PDEs [PDF]

open access: yesOpuscula Mathematica, 2015
This article is concerned with the study of the Borel summability of divergent power series solutions for certain singular first-order linear partial differential equations of nilpotent type. Our main purpose is to obtain conditions which coefficients of
Masaki Hibino
doaj   +1 more source

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