Results 1 to 10 of about 15,936 (252)
Modularity of Convergence and Strong Convergence in Infinitary Rewriting [PDF]
Logical Methods in Computer Science, 2010 Properties of Term Rewriting Systems are called modular iff they are preserved under (and reflected by) disjoint union, i.e. when combining two Term Rewriting Systems with disjoint signatures.
Stefan Michael Kahrs
doaj +4 more sources
Convergence of Perturbed Sampling Kantorovich Operators in Modular Spaces
Results in Mathematics, 2023 AbstractIn the present paper we study the perturbed sampling Kantorovich operators in the general context of the modular spaces. After proving a convergence result for continuous functions with compact support, by using both a modular inequality and a density approach, we establish the main result of modular convergence for these operators. Further, we
Danilo Costarelli +2 more
exaly +3 more sources
Korovkin-type Theorems for Abstract Modular Convergence [PDF]
Results in Mathematics, 2016 We give some Korovkin-type theorems on convergence and estimates of rates of approximations of nets of functions, satisfying suitable axioms, whose particular cases are filter/ideal convergence, almost convergence and triangular A-statistical convergence, where A is a non-negative summability method.
Xenofon Dimitriou +2 more
exaly +6 more sources
Modular convergence in H-Orlicz spaces of Banach valued functions
Rendiconti Del Circolo Matematico Di Palermo, 2023 In this article we develop the theory of $H$-Orlicz space generated by generalised Young function. Modular convergence of $H$-Orlicz space for the case of vector-valued functions and norm convergence in $\mcH^θ(X, \barμ)$ where $X$ is any Banach space are discussed.
Bipan Hazarika +2 more
exaly +4 more sources
Some applications of modular convergence in vector lattice setting
Sampling Theory, Signal Processing, and Data Analysis, 2022 AbstractThe main purpose of this paper is to apply the theory of vector lattices and the related abstract modular convergence to the context of Mellin-type kernels and (non)linear vector lattice-valued operators, following the construction of an integral given in earlier papers.
Anna Rita Sambucini +2 more
exaly +5 more sources
Korovkin-Type Theorems for Modular Ψ-A-Statistical Convergence
Journal 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 +2 more sources
Generalized almost convergence of double sequences in modular function spaces
Advances 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.
Uğur Kadak
exaly +4 more sources
Convergence of sampling Kantorovich operators in modular spaces with applications
Rendiconti Del Circolo Matematico Di Palermo, 2020 AbstractIn 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.
Danilo Costarelli +2 more
exaly +3 more sources
Probabilistic modular metric spaces [PDF]
Journal of Hyperstructures, 2020 The purpose of this study is to investigate the connection between probabilistic and modular metric spaces. We discussseveral important properties such as convergence and completeness,etc, and the relationship among the mentioned properties in the ...
Kianoush Fathi Vajargah +1 more
doaj +1 more source
A general method to study the convergence of nonlinear operators in Orlicz spaces
Advanced Nonlinear Studies, 2022 We continue the work started in a previous article and introduce a general setting in which we define nets of nonlinear operators whose domains are some set of functions defined in a locally compact topological group. We analyze the behavior of such nets
Vinti Gianluca, Zampogni Luca
doaj +1 more source