Results 11 to 20 of about 1,014,653 (280)

Korovkin-Type Theorems for Modular Ψ-A-Statistical Convergence [PDF]

open access: yesJournal of Function Spaces, 2015
We deal with a new type of statistical convergence for double sequences, called Ψ-A-statistical convergence, and we prove a Korovkin-type approximation theorem with respect to this type of convergence in modular spaces.
Carlo Bardaro   +4 more
doaj   +3 more sources

On statistical convergence in modular vector spaces [PDF]

open access: yes, 2022
Let $X$ be a real vector space and $\rho: X\rightarrow [0, \infty]$ be a convex modular. The modular space generated by a convex modular $\rho$ is denoted by $X_\rho$, and is defined as follows: \[ X_\rho=\big\{x\in X: \lim_{u\rightarrow0+}\rho(ux)=0\big\}.
Nuray, F.
core   +4 more sources

KOROVKIN THEOREM VIA STATISTICAL e-MODULAR CONVERGENCE OF DOUBLE SEQUENCES [PDF]

open access: yesSakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2018
In the present paper, we obtain an abstract version of the Korovkin type theorem via the concept of statistical e-convergence in modular spaces for double sequences of positive linear operators.
Sevda Yıldız
doaj   +2 more sources

Generalized almost convergence of double sequences in modular function spaces

open access: yesAdvances in Operator Theory, 2019
‎‎‎‎This article deals with almost convergence of double sequences using a new generalization of fractional-order difference operator in modular spaces and application to the Korovkin-type approximation in the context of modular spaces for positive linear operators‎.
Kadak, Ugur
openaire   +4 more sources

Modularity of Convergence in Infinitary Rewriting

open access: yes, 2009
Properties of Term Rewriting Systems are called modular iff they are preserved under disjoint union, i.e. when combining two Term Rewriting Systems with disjoint signatures. Convergence is the property of Infinitary Term Rewriting Systems that all reduction sequences converge to a limit. Strong Convergence requires in addition that no redex position in
Stefan Kahrs, Kahrs, Stefan
openaire   +2 more sources

Statistical convergence on probabilistic modular spaces

open access: yes, 2014
Summary: We introduce the concepts of statistical convergence and statistical Cauchy sequence on probabilistic modular spaces. After giving some useful characterizations for statistically convergent sequences, we display an example such that our method of convergence works but its classical case does not work.
Orhan, Sevda   +2 more
openaire   +3 more sources

Multisensory perception: Beyond modularity and convergence [PDF]

open access: yesCurrent Biology, 2000
Recent research on multisensory perception suggests a number of general principles for crossmodal integration and that the standard model in the field--feedforward convergence of information--must be modified to include a role for feedback projections from multimodal to unimodal brain areas.
Driver, J, Spence, C
openaire   +2 more sources

Convergence Results for Nonlinear Sampling Kantorovich Operators in Modular Spaces

open access: yes, 2023
In the present paper, convergence in modular spaces is investigated for a class of nonlinear discrete operators, namely the nonlinear multivariate sampling Kantorovich operators.
Costarelli D., Vinti G., Natale M.
core   +1 more source

Convergence of sampling Kantorovich operators in modular spaces with applications

open access: yes, 2021
In the present paper we study the so-called sampling Kantorovich operators in the very general setting of modular spaces. Here, modular convergence theorems are proved under suitable assumptions, together with a modular inequality for the above operators.
Costarelli D.   +3 more
core   +1 more source

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