Results 1 to 10 of about 1,040 (304)
Orlicz–Pettis Theorem through Summability Methods [PDF]
Mathematics, 2019 This paper unifies several versions of the Orlicz−Pettis theorem that incorporate summability methods. We show that a series is unconditionally convergent if and only if the series is weakly subseries convergent with respect to a regular linear ...
Fernando León-Saavedra +2 more
doaj +4 more sources
A method of summability of Lagrange interpolation [PDF]
International Journal of Mathematics and Mathematical Sciences, 1994 The author uses in this paper a technique from numerical integration (see [9]) to get a discretely defined operator, which is a modification of the Lagrange operator.
Detlef H. Mache
doaj +3 more sources
Some Results on Cesàro summability in Intuitionistic Fuzzy $n$-normed linear Spaces [PDF]
Sahand Communications in Mathematical Analysis, 2022 The concept of summability plays a central role in finding formal solutions of partial differential equations. In this paper, we introduce the concept of Cesàro summability in an intuitionistic fuzzy $n$-normed linear space (IFnNLS).
Pradip Debnath
doaj +1 more source
A Study on Generalized Absolute Matrix Summability
Cumhuriyet Science Journal, 2022 In the present paper, generalized absolute matrix summability method of infinite series has been studied. A known theorem on IMI ,summability method has been generalized using the summability method of infinite series.
Ahmet Karakaş
doaj +1 more source
International Journal of Analysis and Applications, 2023 In the present research paper, an investigation is undertaken of Steinhaus type theorems for Nörlund-(M, λn) and Nörlund-Euler(M, λn) method of summability in K, a complete non-trivially valued Non-Archimedean field.
E. Muthu Meena Lakshmanan, K. Suja
doaj +1 more source
NECESSARY AND SUFFICIENT TAUBERIANCONDITIONS UNDER WHICH CONVERGENCEFOLLOWS FROM SUMMABILITY Ar,p
Проблемы анализа, 2021 In this paper, we introduce the summability method Ar,p and obtain necessary and sufficient Tauberian conditions under which the ordinary convergence of a sequence follows from itssummability Ar,p.
C. Kambak, I. Canak
doaj +1 more source
On the Euler method of summability and concerning Tauberian theorems
Cumhuriyet 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
Tauberian theorems for weighted means of double sequences in intuitionistic fuzzy normed spaces [PDF]
Yugoslav 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
New Observation on Cesaro Summability in Neutrosophic -Normed Linear Spaces [PDF]
Neutrosophic Sets and Systems, 2023 We define Cesaro summability in a Neutrosophic 𝓃 -Normed Linear Space in this article. In a Neutrosophic 𝓃-Normed Linear Space, we show the Cesaro summability method to be regular, albeit this does not imply typical convergence in general.
P. Jenifer, M. Jeyaraman
doaj +1 more source
A new extension on the theorem of Bor
Comptes 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