Results 81 to 90 of about 869,302 (176)

Lacunary Statistical Convergence of Order alpha and Lacunary Strongly Summable Sequences of Order alpha of Generalized Difference Sequences

ITM Web of Conferences, 2018
The notion of the α th order Δim - lacunary statistical convergence and α th order lacunary strongly (Δim, p)-summable sequences was introduced by Altınok et al. [1].
Et Mikail, Şengül Hacer, Çınar Muhammed   +2 more
doaj   +1 more source

Diagonal Window Tests for Deferred Weighted Frequent Cauchy Sequences and Mean Coherence

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper studies when a diagonal pairwise sampling condition of pre‐Cauchy type can be upgraded to a genuine convergence criterion in the deferred weighted setting. Working with the window system determined by (λ, μ), we introduce a diagonal pairwise framework and compare it with the corresponding two‐parameter Pringsheim measure on N×N.
Ameni Gargouri, Mehmet Gürdal, Ömer Kişi, Abdelwaheb Mhemdi, Smritijit Sen   +4 more
wiley   +1 more source

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, Alejandro Maass, Vicente Saavedra‐Araya   +2 more
wiley   +1 more source

Lacunary statistical convergence and inclusion properties between lacunary methods

International 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

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
openaire   +5 more sources

Surface‐Exposed Pd Nanocluster Confined within a Ring‐Shaped Polyoxometalate for Selective Hydrogenation

Advanced Science, Volume 12, Issue 38, October 13, 2025.
A small Pd nanocluster is successfully prepared within a ring‐shaped polyoxometalate via a mild solid‐state reduction process. The resulting surface‐exposed Pd nanocluster functions as a robust heterogeneous reusable catalyst, enabling highly chemoselective hydrogenation of substrates containing multiple reducible functional groups via selective ...
Rui Xi, Kentaro Yonesato, Takafumi Yatabe, Yoshihiro Koizumi, Soichi Kikkawa, Seiji Yamazoe, Koji Harano, Kazuya Yamaguchi, Kosuke Suzuki   +8 more
wiley   +1 more source

The Role of Lacunary Statistical Convergence for Double sequences in Neutrosophic Normed Spaces [PDF]

Neutrosophic Sets and Systems
This paper introduces and explores the concept of lacunary statistical convergence of double sequence within the framework neutrosophic normed spaces. Neutrosophic normed spaces extend classical normed spaces by incorporating neutrosophic numbers, which ...
Jenifer. P, Jeyaraman. M
doaj   +1 more source

Wijsman asymptotic lacunary I2-invariant equivalence for double set sequences

, 2021
In this study, for double set sequences, we present the notions ofWijsman asymptotic lacunary invariant equivalence, Wijsman asymptotic lacunary I-2-invariant equivalence andWijsman asymptotic lacunary I*(2) -invariant equivalence.
Akin, Nimet Pancaroglu, Ulusu, Ugur, Dundar, Erdinc   +2 more
core   +1 more source

Ferrimagnetic Structure of 3C Pyrrhotite (Fe7S8) From Neutron Diffraction

Geochemistry, Geophysics, Geosystems, Volume 26, Issue 9, September 2025.
Abstract Pyrrhotite is a paleomagnetically important magnetic mineral in many geological settings. It forms numerous polytypes with different stacking patterns of the NiAs structure along the crystallographic c axis to produce different vacancy‐ordered superstructures.
Chin‐Wei Wang, Chorng‐Shern Horng, Andrew P. Roberts   +2 more
wiley   +1 more source

Double Lacunary Density and Some Inclusion Results in Locally Solid Riesz Spaces

Abstract and Applied Analysis, 2013
We define the notions of double statistically convergent and double lacunary statistically convergent sequences in locally solid Riesz space and establish some inclusion relations between them.
S. A. Mohiuddine, Bipan Hazarika, Abdullah Alotaibi   +2 more
doaj   +1 more source