Results 11 to 20 of about 3,633,928 (292)
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
Nuray, Fatih
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On Weak Statistical Convergence [PDF]
International Journal of Mathematics and Mathematical Sciences, 2007 The main object of this paper is to introduce a new concept of weak statistically Cauchy sequence in a normed space. It is shown that in a reflexive space, weak statistically Cauchy sequences are the same as weakly statistically convergent sequences ...
Vinod K. Bhardwaj, Indu Bala
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On Mλm,n-Statistical Convergence
Journal of Mathematics, 2020 In this paper, we introduce a new type of statistical convergence method for double sequences by using the M,λm,n-method of summability which was defined by Natarajan.
Nazlım Deniz Aral, Şerife Günal
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Statistical Convergence in Function Spaces [PDF]
Abstract and Applied Analysis, 2011 We study statistical versions of several classical kinds of convergence of sequences of functions between metric spaces (Dini, Arzelà, and Alexandroff) in different function spaces.
Agata Caserta +2 more
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λ-statistical convergence in n-normed spaces [PDF]
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2013 In this paper, we introduce the concept of λ-statistical convergence in n-normed spaces. Some inclusion relations between the sets of statistically convergent and λ-statistically convergent sequences are established.
Hazarika Bipan, Savaş Ekrem
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On statistical convergence and strong Cesàro convergence by moduli [PDF]
Journal of Inequalities and Applications, 2019 In this paper we will establish a result by Connor, Khan and Orhan (Analysis 8:47–63, 1988; Publ. Math. (Debr.) 76:77–88, 2010) in the framework of the statistical convergence and the strong Cesàro convergence defined by a modulus function f. Namely, for
Fernando León-Saavedra +3 more
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Generalized Statistical Convergence and Convergence Free Spaces
Journal of Mathematical Analysis and Applications, 2000 The statistical convergence was introduced by H. Fast in 1951. Since then this notion has been studied by many authors including J. Connor, J. A. Fridy, H. I. Miller, A. R. Freedman, J. J. Sember, I. J. Maddox, T. Salat, etc. In this paper, by using the concepts of convergence free spaces, cofilters and filters based on a countably infinite set, the ...
Nuray, F, Ruckle, WH
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λ-Statistical Convergence in Paranormed Space [PDF]
Abstract and Applied Analysis, 2013 The concept of λ-statistical convergence for sequences of real numbers was introduced in Mursaleen (2000). In this paper, we prove decomposition theorem for λ-statistical convergence.
Mohammed A. Alghamdi, Mohammad Mursaleen
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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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A-Statistical Convergence [PDF]
, 2016 The present study is conducted to study a new type convergence, called A-statistical convergence. In the beginning of the study, the concept of infinite, non-negative regular matrices is introduced. Some basic properties of regular and conservative matrices are studied.
Yousuf, Saadia
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