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Lacunary Statistically Convergence via Modulus Function Sequences

Mathematical Sciences and Applications E-Notes
Modifying the definition of density functions is one method used to generalise statistical convergence. In the present study, we use sequences of modulus functions and order $\alpha \in \left( 0,1\right] $ to introduce a new density. Based on this density framework, we define strong $(f_k)$-lacunary summability of order $\alpha $ and $(f_k)$-lacunary ...
Erdal Bayram, Çiğdem Bektaş
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Lacunary strong A -convergence sequence spaces defined by a sequence of moduli

Kuwait Journal of Science, 2013
The definition of lacunary strong A-convergence to a modulus is extended to a definition of lacunary strong A -convergence with respect to a sequence of moduli.
AYHAN ESI
doaj  

Abstracts

Molecular Oncology, Volume 19, Issue S1, Page 1-940, June 2025.
Abstracts submitted to the ‘EACR 2025 Congress: Innovative Cancer Science’, from 16–19 June 2025 and accepted by the Congress Organising Committee are published in this Supplement of Molecular Oncology, an affiliated journal of the European Association for Cancer Research (EACR).
wiley   +1 more source

$f$-Asymptotically $\mathcal{I}_{\sigma\theta}$-Equivalence of Real Sequences

Journal of Mathematical Sciences and Modelling, 2020
In this manuscript, we present the ideas of asymptotically $[{\mathcal{I}_{\sigma\theta}}]$-equivalence, asymptotically ${\mathcal{I}_{\sigma\theta}}(f)$-equivalence, asymptotically $[{\mathcal{I}_{\sigma\theta}}(f)]$-equivalence and asymptotically ...
Erdinç Dundar, Nimet Akın
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A Study on Lacunary Summability of Order α with respect to Modulus Function for Fuzzy Variables in Credibility Spaces

, 2023
Ömer Kı̇şı̇, Erhan Güler
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On asymptotics for lacunary partition functions

Mathematica Slovaca
Abstract We give asymptotic analysis of power series associated with lacunary partition functions. New partition theoretic interpretations of some basic hypergeometric series are offered as examples.
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On the lacunary spherical maximal function on the Heisenberg group

, 2020
Pritam Ganguly, Sundaram Thangavelu
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On asymptotically lacunary statistical equivalent functions via ideals

Journal of Mathematics and Computer Science, 2019
The goal of this paper is to introduce I ? -asymptotically statistical equivalent by taking nonnegative two real-valued Lebesgue measurable functions ? (?) and µ (?) in the interval (1, ?) instead of sequences and we establish some inclusion relations. © 2019, International Scientific Research Publications. All rights reserved.
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A {Co₉}-Added Polyoxometalate for Efficient Visible-Light-Driven Hydrogen Evolution. [PDF]

Molecules, 2023
Wang ZW, Yang GY.
europepmc   +1 more source

Lacunary $A_{p}$-summable sequence spaces defined by Orlicz functions

Kyoto Journal of Mathematics, 2006
In this paper we introduce some new sequence spaces combining a lacunary sequence, an infinite matrix, a bounded sequence and an Orlicz function. We discuss some topological properties and establish some inclusion relations between these spaces. It is also shown that if a sequence is lacunary $A_{p}$-convergent with respect to an Orlicz function then ...
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