Results 31 to 40 of about 3,883 (229)
On Deferred Statistical Convergence of Sequences in Neutrosophic Normed Spaces [PDF]
In this paper, we introduce the notion of deferred statistical convergence in the neutrosophic normed spaces as an extension of statistical convergence, $\lambda$-statistical convergence, and lacunary statistical convergence.
Shyamal Debnath +2 more
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Lacunary Statistical Convergence of Sequences of Real-Valued Functions
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.
A. Gökhan
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Lacunary sequences and permutations
arXiv admin note: text overlap with arXiv:1311 ...
Aistleitner, Christoph +2 more
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A variation on lacunary statistical quasi cauchy sequences
In this paper, the concept of a lacunary statistically -quasi-Cauchysequence is investigated. In this investigation, we proved interesting theoremsrelated to lacunary statisticallycontinuities. A real valued function f de…ned on a subset A of R, the set ofreal numbers, is called lacunary statisticallyserves lacunary statistically delta quasi-Cauchy ...
CAKALLI Hüseyin KAPLAN
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Biomimetic Hierarchical Construction of Anti‐Tumor Polyoxopalladates for Cancer Therapy
Engineering of lacunary polyoxopalladates resulted in a hierarchical assembly that resembles the construction of biomacromolecules. An ordered structural evolution from monomer via dimer to supramolecular aggregates was achieved by cooperative covalent and supramolecular bonding effects, resulting in enhanced anti‐tumor activity via DNA damage ...
Yue Zhao +9 more
wiley +2 more sources
Lacunary statistical convergence and inclusion properties between lacunary methods
A lacunary sequence is an increasing integer sequence θ={kr} such that kr−kr−1→∞ as r→∞. A sequence x is called sθ-convergent to L provided that for each ϵ>0, limr(1/(kr−kr−1)){the number of kr ...
Jinlu Li
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In this paper, using an infinite matrix of complex numbers, a modulus function and a lacunary sequence, we generalize the concept of I -statistical ...
Ömer Kişi +2 more
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On Triple Difference Sequences of Real Numbers in Neutrosophic Normed Spaces
The aim of this article is to investigate triple $\Delta $-statistical convergent sequences in a neutrosophic normed space (NNS). Also, we examine the notions of $\Delta $-statistical limit points and $\Delta $-statistical cluster points and prove their ...
Verda Gürdal, Ömer Kişi
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Directional discrepancy in two dimensions
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
core +1 more source
Variations on strong lacunary quasi-Cauchy sequences
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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