Results 11 to 20 of about 2,328,002 (291)

Weighted almost convergence and related infinite matrices [PDF]

open access: yesJournal of Inequalities and Applications, 2018
The purpose of this paper is to introduce the notion of weighted almost convergence of a sequence and prove that this sequence endowed with the sup-norm ∥ ⋅ ∥ ∞ ${\Vert \cdot \Vert } _{\infty}$ is a BK-space. We also define the notions of weighted almost
Syed Abdul Mohiuddine, Abdullah Alotaibi
doaj   +2 more sources

Strongly deferred almost convergence and deferred almost statistical convergence

open access: yesMATHEMATICA, 2022
This paper introduces the concepts of deferred almost convergence, strongly deferred almost convergence and deferred almost statistical convergence, and investigates the relationship between these concepts. Also, it gives the notions of asymptotical deferred almost equivalence and asymptotical deferred almost statistical equivalence.
Meryem Ece Alkan, Fatih Nuray
openaire   +2 more sources

Infinite matrices and absolute almost convergence

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1983
In 1973, Stieglitz [5] introduced a notion of FB-Convergence which provided a wide generalization of the classical idea of almost convergence due to Lorentz [1].
Mursaleen
doaj   +2 more sources

Quasi-Almost Lacunary Statistical Convergence of Sequences of Sets [PDF]

open access: yesInternational Journal of Analysis and Applications, 2018
In this study, we defined concepts of Wijsman quasi-almost lacunary convergence, Wijsman quasi-strongly almost lacunary convergence and Wijsman quasi q-strongly almost lacunary convergence.
Esra Gulle, Ugur Ulusu
doaj   +4 more sources

Almost Convergence, Summability And Ergodicity

open access: yesCanadian Journal of Mathematics, 1974
The notion of almost convergence introduced by Lorentz [15] has been generalized in several directions (see, for example [1; 8; 11 ; 14; 17]). I t is the purpose of this paper to give a generalization based on the original definition in terms of invariant means. This is effected by replacing the shift transformation by an "ergodic" semigroupof positive
J. Peter Duran
openaire   +3 more sources

Almost statistical convergence in amenable semigroups

open access: yesMATHEMATICA SCANDINAVICA, 2012
The purpose of this study is to extend the notion of almost statistical convergence to functions defined on discrete countable amenable semigroups.
Nuray, Fatih, Rhoades, B. E.
core   +7 more sources

Almost λr-Statistical and Strongly Almost λr-Convergence of Order β of Sequences of Fuzzy Numbers [PDF]

open access: yesJournal of Function Spaces, 2015
The main purpose of this article is to introduce the concepts of almost λr-statistical convergence and strongly almost λr-convergence of order β of sequences of fuzzy numbers with respect to an Orlicz function.
Mahmut Işık, Mikail Et
doaj   +2 more sources

Almost sure convergence on chaoses

open access: yesProceedings of the American Mathematical Society, 2019
We present several new phenomena about almost sure convergence on homogeneous chaoses that include Gaussian Wiener chaos and homogeneous sums in independent random variables. Concretely, we establish the fact that almost sure convergence on a fixed finite sum of chaoses forces the almost sure convergence of each chaotic component ...
Poly, Guillaume, Zheng, Guangqu
openaire   +5 more sources

Almost Discrete Convergence

open access: yes, 2000
We define two notions of convergence which seem to be of some interest, also for their meaning in probability theory, and which, apparently, have not yet been considered explicitly in the literature. We study these notions and compare them with the most familiar notions of convergence.
Emanuele Casini, Pier Luigi Papini
core   +4 more sources

On almost λ- statistical convergence of fuzzy numbers - doi: 10.4025/actascitechnol.v36i1.16218

open access: yesActa Scientiarum: Technology, 2014
The purpose of this paper is to introduce the concepts of almost λ-statistical convergence and strongly almost λ- convergence of fuzzy numbers. We obtain some results related to these concepts.
Ayhan Esi, Mehmet Acikgoz
doaj   +2 more sources

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