Results 31 to 40 of about 3,883 (229)

On Deferred Statistical Convergence of Sequences in Neutrosophic Normed Spaces [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2022
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
doaj   +1 more source

Lacunary Statistical Convergence of Sequences of Real-Valued Functions

open access: yesJournal 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.
A. Gökhan
doaj   +1 more source

Lacunary sequences and permutations

open access: yes, 2013
arXiv admin note: text overlap with arXiv:1311 ...
Aistleitner, Christoph   +2 more
openaire   +2 more sources

A variation on lacunary statistical quasi cauchy sequences

open access: diamondCommunications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2017
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
openalex   +5 more sources

Biomimetic Hierarchical Construction of Anti‐Tumor Polyoxopalladates for Cancer Therapy

open access: yesAngewandte Chemie, Volume 137, Issue 23, June 2, 2025.
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

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2000
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
doaj   +1 more source

New Definitions about A I -Statistical Convergence with Respect to a Sequence of Modulus Functions and Lacunary Sequences

open access: yesAxioms, 2018
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
doaj   +1 more source

On Triple Difference Sequences of Real Numbers in Neutrosophic Normed Spaces

open access: yesCommunications in Advanced Mathematical Sciences, 2022
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
doaj   +1 more source

Directional discrepancy in two dimensions

open access: yes, 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
core   +1 more source

Variations on strong lacunary quasi-Cauchy sequences

open access: yesJournal 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
openaire   +5 more sources

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