Results 31 to 40 of about 161 (125)
Lacunary weak statistical convergence [PDF]
Mathematica Bohemica, 2011 Summary: The aim of this work is to generalize lacunary statistical convergence to weak lacunary statistical convergence and \(\mathcal {I}\)-convergence to weak \(\mathcal {I}\)-convergence. We start by defining weak lacunary statistically convergent and weak lacunary Cauchy sequences. We find a connection between weak lacunary statistical convergence
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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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Lacunary A–statistical convergence and lacunary strong A–convergence sequences of order (α, β) with respect to a modulus [PDF]
AIP Conference Proceedings, 2019 In this paper, the definitions of lacunary strong A-convergence of order (alpha,beta) with respect to a modulus and lacunary A-statistical convergence of order (alpha,beta) are given. We study some connections between lacunary strong A-convergence of order (alpha,beta) with respect to a modulus and lacunary A-statistical convergence of order (alpha ...
Şengül, Hacer +2 more
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Double Wijsman lacunary statistical convergence of order ? [PDF]
, 2022 In this paper, we introduce the concepts of Wijsman strongly p-lacunary summability of order α, Wijsman lacunary statistical convergence of order α and Hausdorff lacunary statistical convergence of order α for double set sequences. Also, we investigate some properties of these new concepts and examine the existence of some relationships between them ...
Gülle, Esra, Ulusu, Uğur
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Lacunary Statistical Convergence of Sequences of Real-Valued Functions
Journal of Mathematics, 2013 We introduce the concepts of the lacunary statistical convergence of sequences of real-valued functions. We also give the relation between this convergence and strongly lacunary and pointwise statistical convergence.
A. Gökhan
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Lacunary statistical convergence of multiple sequences
Applied Mathematics Letters, 2006 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Savas, Ekrem, Patterson, Richard F.
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Lacunary statistical convergence on L - fuzzy normed space
Journal of Intelligent & Fuzzy Systems, 2022 The idea of lacunary statistical convergence sequences, which is a development of statistical convergence, is examined and expanded in this study on L - fuzzy normed spaces, which is a generalization of fuzzy spaces. On L - fuzzy normed spaces, the definitions of lacunary statistical Cauchy and completeness, as well as associated theorems, are provided.
Reha YAPALI +3 more
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Lacunary statistical boundedness on time scales
Advances in Difference Equations, 2021 In this paper, we introduce the concept of lacunary statistical boundedness of Δ-measurable real-valued functions on an arbitrary time scale. We also give the relations between statistical boundedness and lacunary statistical boundedness on time scales.
Bayram Sözbir, Selma Altundağ
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On lacunary statistical convergence and lacunary stron Cesàro convergence by moduli
, 2023 Here we fully complete the studies initiated by Vinod K. Bhardwaj and Shweta Dhawan in \cite{hindawi} which relate different convergence methods which involves the classical statistical and the classical strong Cesàro convergences by means of lacunary sequences and measures of density in $\mathbb{N}$ modulated by a modulus function $f$.
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On the double lacunary (A, φ)-statistical convergence of order α [PDF]
AIP Conference Proceedings, 2019 In this paper, we investigate double lacunary statistical convergence of order α for multiply sequences of real numbers. Further we study some connections between double lacunary strong (A, φ)- convergence of order α with respect to a modulus and double lacunary statistical convergence of order α.
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