Results 21 to 30 of about 93 (70)

On asymptotically double lacunary statistical equivalent sequences in ideal context

Journal of Inequalities and Applications, 2013
An ideal ℐ is a family of subsets of positive integers N×N which is closed under taking finite unions and subsets of its elements. In this paper, we present some definitions which are a natural combination of the definition of asymptotic equivalence ...
B. Hazarika, V. Kumar
semanticscholar   +1 more source

On generalized double statistical convergence in locally solid Riesz spaces

, 2016
The concept of statistical convergence is one of the most active area of research in the field of summability. Over the years and under different names statistical convergence has been discussed in the theory of Fourier analysis, ergodic theory and ...
E. Savaş
semanticscholar   +1 more source

On lacunary double statistical convergence in locally solid Riesz spaces

Journal of Inequalities and Applications, 2013
The concept of statistical convergence is one of the most active areas of research in the field of summability. Most of the new summability methods have relation with this popular method. In this paper, we introduce the concept of double Iθ-statistical-τ-
E. Savaş
semanticscholar   +1 more source

On generalized statistical convergence of sequences of sets of order $\alpha$

, 2017
In this paper we define generalized statistical convergence for sequences of sets of order ̨; 0 < ̨ 1 in sense of Wijsman and study some basic properties of this concept.
B. Hazarika, A. Esi
semanticscholar   +1 more source

Invariant means and lacunary sequence spaces of order (α, β)

Demonstratio Mathematica
In this article, we use the notion of lacunary statistical convergence of order (α,β)\left(\alpha ,\beta ) to introduce new sequence spaces by lacunary sequence, invariant means defined by Musielak-Orlicz function ℳ=(ℵk){\mathcal{ {\mathcal M} }}=\left({\
Ayman-Mursaleen Mohammad, Nasiruzzaman Md., Sharma Sunil K., Cai Qing-Bo   +3 more
doaj   +1 more source

On deferred arithmetic statistical convergence

Open Mathematics
In this paper we introduce the notion of deferred arithmetic statistical convergence, which combines the arithmetic approach to convergence with a deferred statistical scheme. After presenting basic examples, we study fundamental structural properties of
Gül Kadir, Aral Nazlım Deniz
doaj   +1 more source

A matrix characterization of statistical convergence of double sequences in non-archimedean fields

, 2014
Fridy and Miller have given a characterization of statistical convergence for bounded single sequence, by matrix summability methods. The analogues of the some of the results for double sequences were proved by H.I. Miller and Leila Miller-Van Wieren. In
K. Suja, V. Srinivasan
semanticscholar   +1 more source

Fuzzy measure-based statistical convergence and its applications in Korovkin-type approximation theory

Open Mathematics
This paper introduces a novel approach to statistical convergence by employing fuzzy measure theory, resulting in the concept of F $\mathcal{F}$ -statistical convergence.
Ünver Mehmet
doaj   +1 more source

On deferred f-statistical convergence for double sequences

Open Mathematics
In this article, we first put forward the concept of deferred f-double natural density for double sequences, where f is an unbounded modulus. Then, we combine f-density with deferred statistical convergence for double sequences and investigate deferred f-
Zhu Yahui, Shen Ang, Wang Zhongzhi, Peng Weicai   +3 more
doaj   +1 more source

Generalized $A$-statistical convergence and a Korovkin type approximation theorem for double sequences

, 2013
In this paper, we use the notion of ideal to obtain two more general concepts and call them as I -A-statistical convergence and ideal A-summability.
Cemal Belen, M. Yıldırım
semanticscholar   +1 more source