Results 11 to 20 of about 10,601 (279)
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
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
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]
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
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]
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]
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
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]
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
CESARO SUMMABILITY OF WALSH-FOURIER SERIES [PDF]
openaire +4 more sources

