Results 11 to 20 of about 10,601 (279)

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

On a new application of quasi power increasing sequences

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2019
In the present paper, absolute matrix summability of infinite series has been studied. A new theorem concerned with absolute matrix summability factors, which generalizes a known theorem dealing with absolute Riesz summability factors of infinite series,
H.S. Özarslan
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

On the order of summability of the Fourier inversion formula [PDF]

open access: yes, 2010
In this article we show that the order of the point value, in the sense of Łojasiewicz, of a tempered distribution and the order of summability of the pointwise Fourier inversion formula are closely related.
A. Denjoy   +44 more
core   +3 more sources

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

Distributional versions of Littlewood's Tauberian theorem [PDF]

open access: yes, 2010
We provide several general versions of Littlewood's Tauberian theorem. These versions are applicable to Laplace transforms of Schwartz distributions. We apply these Tauberian results to deduce a number of Tauberian theorems for power series where Ces\`{a}
A. E. Ingham   +27 more
core   +4 more sources

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

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