Results 11 to 20 of about 383 (244)
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
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A new factor theorem for generalized absolute Riesz summability
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
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Cesàro Summability Involving $\delta$-Quasi-Monotone and Almost Increasing Sequences
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
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Summability of Jacobi Series [PDF]
The positivity of some Cesàro mean is proven for Jacobi series Σ a n P n ( α , β ) ( x ) , α , β ≧ − 1
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On Strong Approximation in Generalized Hölder and Zygmund Spaces
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
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Resumming Not Summable Perturbative Series [PDF]
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
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Approximation of functions by (C,2)(E,1) product summability method of Fourier series
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
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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
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ON STRONG SUMMABILITY OF THE FOURIER SERIES VIA DEFERRED RIESZ MEAN
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
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On the summability of divergent power series solutions for certain first-order linear PDEs [PDF]
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
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