Results 51 to 60 of about 3,279 (212)
Orlicz arithmetic convergence defined by matrix transformation and lacunary sequence [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2020 In this paper we introduce and study some spaces of Orlicz arithmetic convergence sequences with respect to matrix transformation and lacunary sequence.
Kuldip Raj, Anu Choudhary
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Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2018 Inthis paper, we introduce the concepts of strongly asymptotically lacunary I-invariant equivalence, f-asymptoticallylacunary I-invariant equivalence, strongly f-asymptotically lacunary I-invariant equivalence and asymptotically lacunary I-invariant ...
Erdinç Dundar +2 more
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Hibrid Δ-Statistical Convergence for Neutrosophic Normed Space
Journal of Mathematics, 2022 This study is about neutrosophic structures, which is one of the popular topics of recent days. In this study, different types of convergence concepts were applied to difference sequences.
Nazmiye Gonul Bilgin
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Directional discrepancy in two dimensions
, 2009 In the present paper, we study the geometric discrepancy with respect to families of rotated rectangles. The well-known extremal cases are the axis-parallel rectangles (logarithmic discrepancy) and rectangles rotated in all possible directions ...
Bilyk, Dmitriy +3 more
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Variations on strong lacunary quasi-Cauchy sequences
Journal of Nonlinear Sciences and Applications, 2016 We introduce a new function space, namely the space of Nθ (p)-ward continuous functions, which turns out to be a closed subspace of the space of continuous functions for each positive integer p. Nθα(p)-ward continuity is also introduced and investigated for any fixed 0 < α ≤ 1, and for any fixed positive integer p. A real valued function f defined on a
Kaplan, Huseyin, Cakalli, Huseyin
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Lacunary I_2-Invariant Convergence and Some Properties
International Journal of Analysis and Applications, 2018 In this paper, the concept of lacunary invariant uniform density of any subset $A$ of the set $\mathbb{N}\times\mathbb{N}$ is defined. Associate with this, the concept of lacunary $\mathcal{I}_2$-invariant convergence for double sequences is given. Also,
Ugur Ulusu, Erdinc Dundar, Fatih Nuray
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Angewandte Chemie International Edition, EarlyView.Superchaotropic binding of Keggin polyoxometalates (POMs) to non‐ionic biopolymers like cellulose ethers (CEs) stabilizes otherwise hydrolytically unstable POMs in aqueous solution and allows conversion of pH‐nonresponsive polymers into pH‐responsive soft materials. The pH‐driven conversion from plenary to lacunary POMs switches superchaotropic binding
Vighnesh B. Lokare +3 more
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Numerically stable conditions on rational and essential singularities
, 2017 This paper demonstrates some connections between the coefficients of a Taylor series $f(z)=\ds\sum_{n=0}^\infty a_n z^n$ and singularities of the function. There are many known results of this type, for example, counting the number of poles on the circle
Alameer, Amerah
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Moderate Deviation Principles for Lacunary Trigonometric Sums
Mathematische Nachrichten, Volume 299, Issue 5, Page 1028-1044, May 2026.ABSTRACT Classical works of Kac, Salem, and Zygmund, and Erdős and Gál have shown that lacunary trigonometric sums despite their dependency structure behave in various ways like sums of independent and identically distributed random variables. For instance, they satisfy a central limit theorem (CLT) and a law of the iterated logarithm.
Joscha Prochno, Marta Strzelecka
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Star Discrepancy Bounds of Double Infinite Matrices induced by Lacunary Systems [PDF]
, 2014 In 2001 Heinrich, Novak, Wasilkowski and Wo\'zniakowski proved that the inverse of the star discrepancy satisfies $n(d,\varepsilon)\leq c_{\abs}d \varepsilon^{-2}$ by showing that there exists a set of points in $[0,1)^d$ whose star-discrepancy is ...
Löbbe, Thomas
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