Results 1 to 10 of about 8,430 (164)

On the Euler method of summability and concerning Tauberian theorems

open access: yesCumhuriyet Science Journal, 2021
For any two regular summability methods (U) and (V), the condition under which V-limx_n=λ implies U-limx_n=λ is called a Tauberian condition and the corresponding theorem is called a Tauberian theorem.
İbrahim Çanak, Sefa Anıl Sezer
doaj   +1 more source

ON \(A^{\mathcal{I^{K}}}\)–SUMMABILITY

open access: yesUral Mathematical Journal, 2022
In this paper, we introduce and investigate the concept of \(A^{\mathcal{I^{K}}}\)-summability as an extension of \(A^{\mathcal{I^{*}}}\)-summability which was recently (2021) introduced by O.H.H.~Edely, where \(A=(a_{nk})_{n,k=1}^{\infty}\) is a non ...
Chiranjib Choudhury, Shyamal Debnath
doaj   +1 more source

Strong summability methods in a Riesz-type family; pp. 238–250 [PDF]

open access: yesProceedings of the Estonian Academy of Sciences, 2011
We continue our studies on Riesz-type families of summability methods for functions and sequences, started in (Proc. Estonian Acad. Sci., 2008, 57, 70–80) and (Math. Model. Anal., 2010, 15, 103–112). Strong summability methods defined on the basis of
Anna Šeletski, Anne Tali
doaj   +1 more source

Tauberian theorems for weighted means of double sequences in intuitionistic fuzzy normed spaces [PDF]

open access: yesYugoslav Journal of Operations Research, 2022
We define weighted mean summability method of double sequences in intuitionistic fuzzy normed spaces(IFNS), and obtain necessary and sufficient Tauberian conditions under which convergence of double sequences in IFNS follows from their weighted mean ...
Narayan Mishra Lakshmi   +3 more
doaj   +1 more source

General methods of convergence and summability

open access: yesJournal of Inequalities and Applications, 2021
This paper is on general methods of convergence and summability. We first present the general method of convergence described by free filters of N $\mathbb{N} $ and study the space of convergence associated with the filter.
Francisco Javier García-Pacheco   +2 more
doaj   +1 more source

Ideals, Nonnegative Summability Matrices and Corresponding Convergence Notions: A Short Survey of Recent Advancements

open access: yesAxioms, 2021
In this survey article, we look into some recent results concerning summability matrices, both regular as well as those which are not regular (called semi-regular) and generated matrix ideals as the overall view of the inter relationship between the ...
Pratulananda Das
doaj   +1 more source

Sparse polynomial approximation of parametric elliptic PDEs. Part II: lognormal coefficients [PDF]

open access: yes, 2015
Elliptic partial differential equations with diffusion coefficients of lognormal form, that is $a=exp(b)$, where $b$ is a Gaussian random field, are considered.
Bachmayr, Markus   +3 more
core   +13 more sources

A new extension on the theorem of Bor

open access: yesComptes Rendus. Mathématique, 2021
In [8], Bor has obtained a main theorem dealing with Riesz summability factors of infinite series and Fourier series. In this paper, we generalized that theorem to $|A,\theta _{n}|_{k}$ summability method for taking power increasing sequence.
Yıldız, Şebnem
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

Four dimensional matrix mappings and applications

open access: yesKuwait Journal of Science, 2023
In this paper, we characterize the classes (L,Lk), (Lk,L) and (L∞,Lk), 1 ≤ k < ∞, of all four dimentional infinite matrices, where Lk and L∞ are the spaces of all absolutely k-summable and bounded double sequences, respectively. Using them, we establish
Mehmet Ali Sarigol
doaj   +1 more source

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