Results 91 to 100 of about 4,067 (192)
Abstract and Applied Analysis, 2012 A function 𝑓 is continuous if and only if 𝑓 preserves convergent sequences; that is, (𝑓(𝛼𝑛)) is a convergent sequence whenever (𝛼𝑛) is convergent. The concept of 𝑁𝜃-ward continuity is defined in the sense that a function 𝑓 is 𝑁𝜃-ward continuous if it ...
Huseyin Cakalli
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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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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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Maximal Functions for Lacunary Dilation Structures
, 2012 If mu is a smooth density on a hypersurface in R^d whose curvature never vanishes to infinite order, and A is a d-by-d matrix whose eigenvalues all have absolute value greater than 1, then the maximal function given by convolving f with dilates of mu by powers of A, and taking the maximum, is bounded from a corresponding version of H^1 to weak L^1.
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Combinatorial problems in finite geometry and lacunary polynomials
, 2002 We describe some combinatorial problems in finite projective planes and indicate how R\'edei's theory of lacunary polynomials can be applied to ...
Blokhuis, Aart
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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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Lacunary Statistically Convergence via Modulus Function Sequences
Mathematical Sciences and Applications E-NotesModifying the definition of density functions is one method used to generalise statistical convergence. In the present study, we use sequences of modulus functions and order $\alpha \in \left( 0,1\right] $ to introduce a new density. Based on this density framework, we define strong $(f_k)$-lacunary summability of order $\alpha $ and $(f_k)$-lacunary ...
Erdal Bayram, Çiğdem Bektaş
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Lacunary strong A -convergence sequence spaces defined by a sequence of moduli
Kuwait Journal of Science, 2013 The definition of lacunary strong A-convergence to a modulus is extended to a definition of lacunary strong A -convergence with respect to a sequence of moduli.
AYHAN ESI
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On an Asymptotic Property of Dirichlet Kernels
Известия Иркутского государственного университета: Серия "Математика"The main object of our study is the Dirichlet kernel. The properties of this trigonometric polynomial — the sum of cosines of multiple arcs — are of undoubted interest in the theory of trigonometric series.
E. D. Alferova +2 more
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