Results 11 to 20 of about 3,279 (212)

Rough I2 ${I}_{2}$-lacunary statistical convergence of double sequences [PDF]

Journal of Inequalities and Applications, 2018
In this paper, we introduce and study the notion of rough I2 $\mathcal {I}_{2}$-lacunary statistical convergence of double sequences in normed linear spaces.
Ömer Kişi, Erdinç Dündar
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Strongly Lacunary Ward Continuity in 2-Normed Spaces [PDF]

The Scientific World Journal, 2014
A function f defined on a subset E of a 2-normed space X is strongly lacunary ward continuous if it preserves strongly lacunary quasi-Cauchy sequences of points in E; that is, (f(xk)) is a strongly lacunary quasi-Cauchy sequence whenever (xk) is strongly
Hüseyin Çakalli, Sibel Ersan
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I-asymptotically lacunary statistical equivalent sequences in partial metric spaces [PDF]

Mathematica Moravica
The present study deals with I-asymptotically equivalent sequences in partial metric spaces. We define the notions of strongly I-asymptotically lacunary equivalent, I-asymptotically statistical equivalent, and I-asymptotically lacunary statistical ...
Or Aykut, Çakı Ahmet
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Some new spaces of lacunary f-statistical A-convergent sequences of order α [PDF]

, 2015
We study the concept of density for sets of natural numbers in some lacunary $A$-convergent sequence spaces. Also we are trying to investigate some relation between the ordinary convergence and module statistical convergence for evey unbounded modulus ...
Ekrem Savaş, Stuti Borgohain
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On Asymptotically Double Lacunary Statistical Equivalent Sequences in Probabilistic Normed Space [PDF]

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2012
In this paper we study the concept of asymptotically double lacunary statistical convergent sequences in probabilistic normed spaces and prove some basic properties.
Esi Ayhan
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Strongly Almost Lacunary -Convergent Sequences [PDF]

Abstract and Applied Analysis, 2013
We study some new strongly almost lacunary -convergent generalized difference sequence spaces defined by an Orlicz function. We give also some inclusion relations related to these sequence spaces.
Adem Kılıçman, Stuti Borgohain
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On Modulated Lacunary Statistical Convergence of Double Sequences

Mathematics, 2023
In earlier works, F. León and coworkers discovered a remarkable structure between statistical convergence and strong Cesàro convergence, modulated by a function f (called a modulus function).
María del Pilar Romero de la Rosa
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Fuzzy real valued lacunary I-convergent sequences

Applied Mathematics Letters, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bipan Hazarika
openaire   +4 more sources

On Some Lacunary Almost Convergent Double Sequence Spaces and Banach Limits [PDF]

Abstract and Applied Analysis, 2012
The object of this paper is to introduce some new sequence spaces related with the concept of lacunary strong almost convergence for double sequences and also to characterize these spaces through sublinear functionals that both dominate and generate ...
Metin Başarır, Şükran Konca
doaj   +2 more sources

Lacunary Series and Strong Approximation [PDF]

Entropy
Strong approximation, introduced by Strassen (1964), is one of the most powerful methods to prove limit theorems in probability and statistics. In this paper we use strong approximation of lacunary series with conditionally independent sequences to prove
István Berkes
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