Results 21 to 30 of about 194,592 (264)

Lacunary statistical convergence [PDF]

open access: yesPacific Journal of Mathematics, 1993
The sequence \(x\) is statistically convergent to \(L\) provided that for each \(\varepsilon>0\), \[ \lim_ n {1 \over n} \{\text{the number of } k \leq n:| x_ k-L | \geq \varepsilon\}=0. \] A related concept is introduced by replacing the set \(\{k:k \leq n\}\) with \(\{ k:k_{r-1}
Fridy, J. A., Orhan, C.
openaire   +2 more sources

Performance Comparison of CNN Models Using Gradient Flow Analysis

open access: yesInformatics, 2021
Convolutional neural networks (CNNs) are widely used among the various deep learning techniques available because of their superior performance in the fields of computer vision and natural language processing.
Seol-Hyun Noh
doaj   +1 more source

On (f, ρ)−Statistical convergence and strong (f, ρ)−summability of order α [PDF]

open access: yesE-Journal of Analysis and Applied Mathematics, 2022
The main object of this article is to introduce the concepts of (f, ρ)− statistical convergence of order α and strong (f, ρ)− summability of order α of sequences of real numbers and give some inclusion relations between these spaces.
Hacer Şengül Kandemir   +2 more
doaj   +1 more source

On $A$-statistical convergence and $A$-statistical Cauchy via ideal

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2022
In [Analysis 1985, 5 (4), 301-313], J.A. Fridy proved an equivalence relation between statistical convergence and statistical Cauchy sequence. In this paper, we define $A^{I^{\ast }}$-statistical convergence and find under certain conditions, that it is ...
O.H. Edely, M. Mursaleen
doaj   +1 more source

Properties of J_p-Statistical Convergence

open access: yesCumhuriyet Science Journal, 2022
In this study, different characterizations of J_p-statistically convergent sequences are given. The main features of J_p-statistically convergent sequences are investigated and the relationship between J_p-statistically convergent sequences and J_p ...
Canan Sümbül   +2 more
doaj   +1 more source

ON DISCRETE WEIGHTED STATISTICAL CONVERGENCE [PDF]

open access: yesFacta Universitatis, Series: Mathematics and Informatics, 2021
In the present paper, the notion of discrete weighted mean method of summability isextended the concept of statistical convergence. We also give the notion of statistical (M,P_{λ})-summability and [M,P_{λ}]_{q}-summability.
Ercan, Sinan   +2 more
openaire   +1 more source

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

open access: yesJournal 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

ON THE STATISTICAL CONVERGENCE OF NESTED SEQUENCES OF SETS

open access: yesПроблемы 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   +3 more
doaj   +1 more source

Lacunary weak statistical convergence [PDF]

open access: yesMathematica Bohemica, 2011
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. We start by defining weak lacunary statistically convergent and weak lacunary Cauchy sequences. We find a connection between weak lacunary statistical convergence
openaire   +1 more source

λ-statistical convergence in n-normed spaces

open access: yesAnalele 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

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