Results 71 to 80 of about 374 (176)
Lacunary Statistical Convergence of Sequences of Real-Valued Functions [PDF]
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. Furthermore we introduce the concept of a lacunary statistical Cauchy sequence for functional sequences and prove that it is equivalent ...
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A pointwise ergodic theorem along return times of rapidly mixing systems
Bulletin of the London Mathematical Society, Volume 57, Issue 12, Page 3730-3748, December 2025.Abstract We introduce a new class of sparse sequences that are ergodic and pointwise universally L2$L^2$‐good for ergodic averages; that is, sequences along which the ergodic averages converge almost surely to the projection to invariant functions.
Sebastián Donoso +2 more
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Radial boundary values of lacunary power series
Karpatsʹkì Matematičnì Publìkacìï, 2014 We strengthened MacLane's theorem concerning radial boundary values of lacunary power series.
I.V. Andrusyak, P.V. Filevych
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I-lacunary summability function of order α
Filomat, 2017 In this paper, we further generalize recently introduced summability methods in [23](where ideals of N were used to extend certain important summability methods) and introduce new notions, namely, I-statistical convergence of order ?, where 0 < ? < 1 by taking nonnegative real-valued Lebesque measurable function in the interval (1,?).
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Acta Scientiarum: Technology, 2013 In this article, we have introduced the idea of statistically convergent generalized difference lacunary double sequence spaces [¯w2 (M, Δn, p,q)]θ, [¯w2 (M, Δn, p,q)]θ and defined over a semi norm space (X, q). Also we have study some basic properties
Ayhan Esi, Bipan Hazarika
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The Attractors of the Common Differential Operator Are Determined by Hyperbolic and Lacunary Functions [PDF]
International Journal of Mathematics and Mathematical Sciences, 2008 For analytic functions, we investigate the limit behavior of the sequence of their derivatives by means of Taylor series, the attractors are characterized by ω‐limit sets. We describe four different classes of functions, with empty, finite, countable, and uncountable attractors.
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On asymptotics for lacunary partition functions
Mathematica SlovacaAbstract 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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Application of f-lacunary statistical convergence to approximation theorems
Journal of Inequalities and Applications, 2018 The concept of f-lacunary statistical convergence which is, in fact, a generalization of lacunary statistical convergence, has been introduced recently by Bhardwaj and Dhawan (Abstr. Appl. Anal. 2016:9365037, 2016).
Vinod K Bhardwaj, Shweta Dhawan
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Statistical Soft Wijsman Convergence
Sakarya Üniversitesi Fen Bilimleri Enstitüsü DergisiThe concept of convergence is a fundamental tool for building or understanding a mathematical structure. In particular, many applied areas of mathematics require the analysis of sets or set-based approximations.
Erdal Bayram
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f-asymptotically lacunary ideal equivalence of double sequences
Journal of Inequalities and Applications, 2019 In this study, we present the notions of f-asymptotically I2 $\mathcal{I}_{2}$-equivalence, strongly f-asymptotically I2 $\mathcal{I}_{2}$-equivalence, f-asymptotically lacunary I2 $\mathcal{I}_{2}$-equivalence, and strongly f-asymptotically lacunary I2 $
Nimet Pancaroǧlu Akın
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