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f ( λ , μ ) $f_{(\lambda,\mu)}$ -statistical convergence of order α̃ for double sequences [PDF]

open access: yesJournal of Inequalities and Applications, 2017
New concepts of f λ , μ $f_{\lambda,\mu }$ -statistical convergence for double sequences of order α̃ and strong f λ , μ $f_{\lambda,\mu }$ -Cesàro summability for double sequences of order α̃ are introduced for sequences of (complex or real) numbers ...
Mahmut Işik, Yavuz Altin
doaj   +2 more sources

Absolute φ − | C , α , β ; δ | k $\varphi- \vert C, \alpha, \beta; \delta\vert _{k}$ summability of infinite series [PDF]

open access: yesJournal of Inequalities and Applications, 2017
In this paper, we established a generalized theorem on a minimal set of sufficient conditions for absolute summability factors by applying a sequence of a wider class (quasi-power increasing sequence) and the absolute Cesàro φ − | C , α , β ; δ | k ...
Smita Sonker, Alka Munjal
doaj   +2 more sources

On (Δm,I)-Statistical Convergence of Order α [PDF]

open access: yesThe Scientific World Journal, 2014
The idea of I-convergence of real sequences was introduced by Kostyrko et al., (2000/01) and also independently by Nuray and Ruckle (2000). In this paper, we introduce the concepts of (Δm,I)-statistical convergence of order α and strong (Δpm,I)-Cesàro ...
Mikail Et   +2 more
doaj   +2 more sources

Some Results on Cesàro summability in Intuitionistic Fuzzy $n$-normed linear Spaces [PDF]

open access: yesSahand 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

New Observation on Cesaro Summability in Neutrosophic -Normed Linear Spaces [PDF]

open access: yesNeutrosophic 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

Some remarks on Cesaro summability in neutrosophic normed spaces [PDF]

open access: yesNeutrosophic Sets and Systems, 2023
In this paper, we define the notion of a generalized summability, called Ces`aro summability in neutrosophic normed spaces (briefly NNS). We obtain conditions under which ordinary summability follows from Cesaro summability. Later, we define a concept of
Vijay Kumar   +2 more
doaj   +1 more source

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

Strongly Summable Vector-Valued Sequence Spaces Defined by 2-modular

open access: yesCauchy: Jurnal Matematika Murni dan Aplikasi, 2021
Summability is an important concept in sequence spaces. One summability concept is strongly Cesaro summable. In this paper, we study a subset of the set of all vector-valued sequence in 2-modular space.
Burhanudin Arif Nurnugroho   +1 more
doaj   +1 more source

Partial best approximations and the absolute Cesaro summability of multiple Fourier series [PDF]

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2021
The article is devoted to the problem of absolute Cesaro summability of multiple trigonometric Fourier series. Taking a central place in the theory of Fourier series this problem was developed quite widely in the one-dimensional case and the ...
S. Bitimkhan, D.T. Alibieva
doaj   +3 more sources

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

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