Results 1 to 10 of about 35,663 (155)

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   +2 more sources

Statistical Convergence and Ideal Convergence of Sequences of Functions in 2-Normed Spaces [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2011
We present various kinds of statistical convergence and ℐ-convergence for sequences of functions with values in 2-normed spaces and obtain a criterion for ℐ-convergence of sequences of functions in 2-normed spaces.
Saeed Sarabadan, Sorayya Talebi
doaj   +3 more sources

Statistical and Ideal Convergences in Topology

open access: yesMathematics, 2023
The notion of convergence wins its own important part in the branch of Topology. Convergences in metric spaces, topological spaces, fuzzy topological spaces, fuzzy metric spaces, partially ordered sets (in short, posets), and fuzzy ordered sets (in short,
D. Georgiou, G. Prinos, F. Sereti
doaj   +2 more sources

A Tauberian theorem for ideal statistical convergence [PDF]

open access: yesIndagationes Mathematicae, 2020
15 pages, comments are ...
Marek Balcerzak, Paolo Leonetti
exaly   +4 more sources

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

open access: yesПроблемы 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   +2 more sources

On Generalized Difference Rough Ideal Statistical Convergence in Neutrosophic Normed Spaces [PDF]

open access: yesNeutrosophic Sets and Systems
This article’s main goal is to provide and investigate a novel statistical convergence generalisation for generalized difference sequences in Neutrosophic Normed Spaces (NNS) called rough ideal statistical convergence.
Manpreet Kaur, Meenakshi Chawla
doaj   +2 more sources

Statistical convergence and ideal convergence for sequences of functions

open access: yesJournal of Mathematical Analysis and Applications, 2007
The paper discusses various types of statistical convergence and ideal convergence for sequences of functions with real values or with values in a more general metric space. The authors present very thoroughly the definitions and types of ideal convergence for functions and prove several results regarding ideal pointwise and ideal uniform convergence ...
Marek Balcerzak, Andrzej Komisarski
exaly   +2 more sources

A Study on Rough Ideal Statistical Convergence in Neutrosophic Normed Spaces

open access: yesAxioms
In this paper, we introduce and study the concept of rough I–αβ–statistical convergence of order γ in neutrosophic normed spaces. This new mode of convergence combines the principles of rough convergence, statistical convergence with respect to an ideal,
Paul Sebastian Jenifer   +3 more
doaj   +2 more sources

A novel hyperbolic tangent-augmented controller framework for temperature control in jacketed continuous stirred tank reactors [PDF]

open access: yesScientific Reports
Accurate temperature regulation of jacketed continuous stirred tank reactors (CSTRs) remains a challenging task due to strong nonlinearities, tight coupling between mass and energy balances, and sensitivity to disturbances and operating-point variations.
Davut Izci   +7 more
doaj   +2 more sources

Some new lacunary statistical convergence with ideals [PDF]

open access: yesJournal of Inequalities and Applications, 2017
In this paper, the idea of lacunary [Formula: see text]-statistical convergent sequence spaces is discussed which is defined by a Musielak-Orlicz function. We study relations between lacunary [Formula: see text]-statistical convergence with lacunary [Formula: see text]-summable sequences.
KILICMAN, A, BORGOHAIN, S
openaire   +5 more sources

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