Results 21 to 30 of about 3,482,041 (300)

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

Lacunary weak statistical convergence [PDF]

, 2000
summary:The aim of this work is to generalize lacunary statistical convergence to weak lacunary statistical convergence and $\mathcal I$-convergence to weak $\mathcal I$-convergence.
Ganichev, M., Kadets, V., Nuray, Fatih, Connor, J.   +3 more
core   +1 more source

Statistical convergence of infinite series [PDF]

, 2001
summary:In this paper we use the notion of statistical convergence of infinite series naturally introduced as the statistical convergence of the sequence of the partial sums of the series.
Tibor Šalát, Dindoš, M., Mačaj, M., Šalát, T., Toma, V., Vladimír Toma, M. Dindoš   +6 more
core   +1 more source

ON THE STATISTICAL CONVERGENCE OF NESTED SEQUENCES OF SETS

Проблемы анализа, 2022
In this paper, we show that Wijsman convergence and statistical Wijsman convergence are equivalent to each other if we choose the sequences of sets as monotone.
H. Albayrak, F. Babaarslan, Ö . Ölmez, S. Aytar   +3 more
doaj   +1 more source

Fundamental properties of statistical convergence and lacunary statistical convergence on time scales [PDF]

Filomat, 2017
In this paper, we first obtain a Tauberian condition for statistical convergence on time scales. We also find necessary and sufficient conditions for the equivalence of statistical convergence and lacunary statistical convergence on time scales. Some significant applications are also presented.
Turan, Ceylan, Duman, Oktay
openaire   +1 more source

λ-statistical convergence in n-normed spaces

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2013
In this paper, we introduce the concept of λ-statistical convergence in n-normed spaces. Some inclusion relations between the sets of statistically convergent and λ-statistically convergent sequences are established.
Hazarika Bipan, Savaş Ekrem
doaj   +1 more source

STATISTICAL CONVERGENCE OF MATRIX SEQUENCES

Universal Journal of Mathematics and Applications, 2023
This paper extends the statistical convergence of real or complex numbers to the real square matrices sequences . In this context, we investigate the relation between the statistical convergence, statistical Cauchy condition, strong Ces\`{a}ro summability of matrices sequences.
openaire   +3 more sources

Statistical Convergence and Convergence in Statistics

, 2006
Statistical convergence was introduced in connection with problems of series summation. The main idea of the statistical convergence of a sequence l is that the majority of elements from l converge and we do not care what is going on with other elements.
Burgin, Mark, Duman, Oktay
openaire   +2 more sources

On Rough Statistical Convergence in Neutrosophic Normed Spaces [PDF]

Neutrosophic Sets and Systems
In this paper, we have presented rough statistical convergence of sequence on neutrosophic normed spaces as an important convergence criterion. As neutrosophication can handle partially dependent components, partially independent components and even ...
Reena Antal, Meenakshi Chawla , Vijay Kumar   +2 more
doaj   +1 more source

A NEW APPROACH TO EGOROV’S THEOREM BY MEANS OF 𝛼𝛽-STATISTICAL IDEAL CONVERGENCE

Проблемы анализа, 2022
In this work, we introduce the 𝛼𝛽-statistical pointwise ideal convergence, 𝛼𝛽-statistical uniform ideal convergence, and 𝛼𝛽-equi-statistical ideal convergence for sequences of fuzzy-valued functions.
Sonali Sharma, Kuldip Raj
doaj   +1 more source