Results 41 to 50 of about 1,119 (137)

A Generalization of Lacunary Equistatistical Convergence of Positive Linear Operators

Abstract and Applied Analysis, 2013
In this paper we consider some analogs of the Korovkin approximation theorem via lacunary equistatistical convergence. In particular we study lacunary equi-statistical convergence of approximating operators on spaces, the spaces of all real valued ...
Yusuf Kaya, Nazmiye Gönül
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Generalized lacunary strong Zweier convergent sequence spaces [PDF]

, 2016
In this paper we introduce generalized double Zweier lacunary convergent sequence spaces via sequence of Orlicz functions over n-normed spaces. We also make an effort to study some topological properties and inclusion relations between these spaces ...
Pandoh Suruchi, Raj Kuldip
core   +1 more source

Weighted modulus Sθ-convergence of order α in probability

Arab Journal of Mathematical Sciences, 2017
Let θ={kr}r∈N∪{0} be a lacunary sequence, ϕ be a modulus function and {tn}n∈N be a sequence of real numbers such that tn>δ,∀n∈N (where δ is a fixed positive real number) and Tn=t1+t2+⋯+tn (where n∈N and T0=0).
Sanjoy Ghosal, Mandobi Banerjee, Avishek Ghosh   +2 more
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Selected non-holonomic functions in lattice statistical mechanics and enumerative combinatorics

, 2015
We recall that the full susceptibility series of the Ising model, modulo powers of the prime 2, reduce to algebraic functions. We also recall the non-linear polynomial differential equation obtained by Tutte for the generating function of the q-coloured ...
Boukraa, S., Maillard, J-M.
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Lacunary sequences related to statistical convergence

Annals of Communications in Mathematics, 2020
In this manuscript, our concern is to introduce the new approach of studying the lacunary almost statistical convergence and strongly almost convergence of the generalized difference sequences of fuzzy numbers. Some interesting and basic properties concerning them will be studied.
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On Some New Sequence Spaces and Statistical Convergence Methods for Double Sequences

Demonstratio Mathematica, 2014
In this paper, we introduce some new double sequence spaces with respect to an Orlicz function and define two new convergence methods related to the concepts of statistical convergence and lacunary statistical convergence for double sequences.
Belen Cemal, Yildirim Mustafa
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Weighted Lacunary I-Statistical Convergence

Journal of the Institute of Science and Technology, 2017
In this paper, we defne the concepts of weighted lacunary -statistical convergence or S ( ) R,θ ( ) I-convergence and[ ] R, pr ,θ I-summability, and investigate some inclusion ...
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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
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Upward and downward statistical continuities [PDF]

, 2013
A real valued function $f$ defined on a subset $E$ of $\textbf{R}$, the set of real numbers, is statistically upward continuous if it preserves statistically upward half quasi-Cauchy sequences, is statistically downward continuous if it preserves ...
Cakalli, Huseyin
core  

Generalized s r I  -statistical convergence in intuitionistic fuzzy normed linear space [PDF]

Songklanakarin Journal of Science and Technology (SJST), 2018
The notion of lacunary ideal convergence in intuitionistic fuzzy normed linear space (IFNLS) was introduced in (Debnath, 2012). As a continuation of this work, in the present paper, we introduce and study the new concept of s r I  -statistical ...
Nabanita Konwar, Pradip Debnath
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