Results 31 to 40 of about 479 (148)
On Deferred Statistical Convergence of Sequences in Neutrosophic Normed Spaces [PDF]
Sahand Communications in Mathematical Analysis, 2022 In this paper, we introduce the notion of deferred statistical convergence in the neutrosophic normed spaces as an extension of statistical convergence, $\lambda$-statistical convergence, and lacunary statistical convergence.
Shyamal Debnath +2 more
doaj +1 more source
The distribution of spacings of real‐valued lacunary sequences modulo one
Mathematika, Volume 68, Issue 2, Page 416-428, April 2022., 2022 Abstract Let (an)n=1∞$(a_{n})_{n=1}^{\infty }$ be a lacunary sequence of positive real numbers. Rudnick and Technau showed that for almost all α∈R$\alpha \in \mathbb {R}$, the pair correlation of (αan)n=1∞$(\alpha a_{n})_{n=1}^{\infty }$ mod 1 is Poissonian.
Sneha Chaubey, Nadav Yesha
wiley +1 more source
Examination of Generalized Statistical Convergence of Order α on Time Scales
Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022 In this paper, we introduce the concepts of deferred statistical convergence of order α and strongly deferred Cesàro summable functions (real valued) of order α on time scales and give some relationships between deferred statistical convergence of order α and strongly deferred Cesàro summable functions (real valued) of order α on time scales.
Muhammed Çinar +2 more
wiley +1 more source
Lacunary A–statistical convergence and lacunary strong A–convergence of order α with respect to a modulus [PDF]
AIP Conference Proceedings, 2019 In this paper, the definitions of lacunary strong A−convergence of order α with respect to a modulus and lacunary A−statistical convergence of order α were given by adding α to the definitions of lacunary strong A−convergence with respect to a modulus and lacunary A−statistical convergence when A = (aik) is an infinite matrix of complex numbers and 0 <
Şengül, Hacer, Arıca, Zelal
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A Note on Lacunary Sequence Spaces of Fractional Difference Operator of Order (α, β)
Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022 In the present paper, we defined lacunary sequence spaces of fractional difference operator of order (α, β) over n‐normed spaces via Musielak‐Orlicz function M=Ik. Our aim in this paper is to study some topological properties and inclusion relation between the spaces I−NαβA,M,u,θ,Δγ,·,⋯,·0, I−NαβA,M,u,θ,Δγ,·,⋯,·, and I−NαβA,M,u,θ,Δγ,·,⋯,·∞.
Qing-Bo Cai +3 more
wiley +1 more source
Hibrid Δ‐Statistical Convergence for Neutrosophic Normed Space
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 This study is about neutrosophic structures, which is one of the popular topics of recent days. In this study, different types of convergence concepts were applied to difference sequences. With the help of the properties of double type sequences, the concept of difference sequences is combined with structures that are advantageous to work like Lacunary
Nazmiye Gonul Bilgin, Ghous Ali
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Random Power Series in Qp,0 Spaces
Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021 Aulaskari et al. proved if 0 < p < 1 and {εn} is sequence of independent, identically distributed Rademacher random variables on a probability space, then the condition Σn=0∞n1−pan2<∞ implies that the random power series Rfz=∑n=0∞anεnzn∈Qp almost surely. In this paper, we improve this result showing that the condition Σn=0∞n1−pan2<∞ actually implies Rf∈
Haiyin Li, Yan Wu, Alberto Lastra
wiley +1 more source
On lacunary d-statistical convergence of order α [PDF]
AIP Conference Proceedings, 2019 In this study, using a lacunary sequence we introduce the concepts of lacunary d−statistical convergence of order α and lacunary strong d p−Cesaro summability of order α in general metric spaces.
Et, Mikail, Karataş, Muharrem
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Rough statistical convergence on triple sequence of the Bernstein operator of random variables in probability [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2019 This paper aims to improve further on the work of Phu (2001), Aytar (2008), and Ghosal (2013). We propose a new apporach to extend the application area of rough statistical convergence usually used in triple sequence of the Bernstein operator of real ...
Nagarajan Subramanian +2 more
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Fundamental properties of statistical convergence and lacunary statistical convergence on time scales [PDF]
Filomat, 2017 In this paper, we first obtain a Tauberian condition for statistical convergence on time scales. We also find necessary and sufficient conditions for the equivalence of statistical convergence and lacunary statistical convergence on time scales. Some significant applications are also presented.
Turan, Ceylan, Duman, Oktay
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