Results 81 to 90 of about 479 (148)

On Some Further Generalizations of Strong Convergence in Probabilistic Metric Spaces Using Ideals

Abstract and Applied Analysis, 2013
Following the line of (Das et al., 2011, Savas and Das, 2011), we make a new approach in this paper to extend the notion of strong convergence and more general strong statistical convergence (Şençimen and Pehlivan, 2008) using ideals and introduce the ...
Pratulananda Das, Kaustubh Dutta, Vatan Karakaya, Sanjoy Ghosal   +3 more
doaj   +1 more source

Lacunary statistically \(\phi \)-convergence

, 2019
Summary: In this paper by using the lacunary sequence and Orlicz function \(\phi \), we introduce a new concept of lacunary statistically \(\phi \)-convergence, as a generalization of the statistical \(\phi\)-convergence and \(\phi\)-convergence. Based on this concepts, we introduce a new sequence space \( S_{\theta}-\phi\) and investigate some of its ...
Savas, Ekrem, Debnath, Shyamal
openaire   +2 more sources

LACUNARY STATISTICAL CONVERGENCE IN TOPOLOGICAL-GROUPS [PDF]

, 1995
In this paper, the concept of lacunary statistical convergence(4) is generalized to topological groups, and some inclusion theorems between the set of all statistically convergent sequences and the set of all lacunary statistically convergent sequences ...
CAKALLI, H
core  

Lacunary generalized difference statistical convergence in random 2-normed spaces [PDF]

, 2013
Recently in [22], Mursaleen introduced the concept of statistical convergence in random 2-normed spaces. In this paper, we define and study the notion of lacunary An-statistical convergence and lacunary An-statistical Cauchy sequences in random 2-normed ...
Hazarika, Bipan
core   +1 more source

Korovkin Type Approximation Theorem for Functions of Two Variables Through αβ−Statistical Convergence

Journal of Mathematical Sciences and Modelling, 2019
In this paper, we introduce the concepts of αβ−statistical convergence and strong αβ− summability of double sequences and investigate the relation between these two new concepts. Moreover, statistical convergence and αβ− statistical convergence of double
Selma Altundağ, Bayram Sözbir
doaj   +1 more source

I_2-Lacunary statistical convergence of double sequences of sets [PDF]

, 2015
In this paper, we introduce the concepts of the Wijsman I2-statistical convergence, Wijsman I2-lacunary statistical convergence and Wijsman strongly I2-lacunary convergence of double sequences of sets and investigate the relationship between ...
Dündar, Erdinç, Ulusu, Uğur, Aydın, Bünyamin   +2 more
core  

Lacunary statistical convergence of Bernstein operator sequences [PDF]

, 2017
The Bernstein operator is one of the important topics of approximation theory in which it has been studied in great details for a long time. Recently the statistical convergence of Bernstein operators was studied.
Araci, Serkan, Esi, Ayhan
core   +1 more source

Ideal convergence generated by double summability methods

Demonstratio Mathematica, 2016
The main result of this note is that if I is an ideal generated by a regular double summability matrix summability method T that is the product of two nonnegative regular matrix methods for single sequences, then I-statistical convergence and convergence
Connor Jeff
doaj   +1 more source

Anomalous Dissipation and Lack of Selection in the Obukhov-Corrsin Theory of Scalar Turbulence. [PDF]

Ann PDE, 2023
Colombo M, Crippa G, Sorella M.
europepmc   +1 more source

Ideal (I₂) Convergence in Fuzzy Paranormed Spaces for Practical Stability of Discrete-Time Fuzzy Control Systems Under Lacunary Measurements

Axioms
We investigate the stability of linear discrete-time control systems with a fuzzy logic feedback under sporadic sensor data loss. In our framework, each state measurement is a fuzzy number, and occasional “packet dropouts” are modeled by a lacunary ...
Muhammed Recai Türkmen, Hasan Öğünmez   +1 more
doaj   +1 more source