Results 241 to 250 of about 1,014,653 (280)
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, Antonio Boccuto
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Modular Filter Convergence Theorems for Urysohn Integral Operators and Applications [PDF]
Acta Mathematica Sinica, English Series, 2013 We prove some versions of modular convergence theorems for nonlinear Urysohn-type integral operators with respect to filter convergence. We consider pointwise filter convergence of functions giving also some applications to linear and nonlinear Mellin ...
Xenofon Dimitriou, Antonio Boccuto
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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, Gianluca Vinti
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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, Hemanta Kalita
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Triangular Ideal Relative Convergence on Modular Spaces and Korovkin Theorems
Studia Universitatis Babes-Bolyai Mathematica, 2023 In this paper, we introduce the concept of triangular ideal relative convergence for double sequences of functions defined on a modular space. Based upon this new convergence method, we prove Korovkin theorems. Then, we construct an example such that our
Sevda Yıldız
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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, Antonio Boccuto
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