Modular filter convergence theorems for abstract sampling type operators

DOI10.1080/00036811.2012.738480zbMath1286.41003OpenAlexW2085729861MaRDI QIDQ5404671

Ilaria Mantellini, Carlo Bardaro, Xenofon Dimitriou, Antonio Boccuto

Publication date: 28 March 2014

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2012.738480

zbMATH Keywords

integral operatormodularsampling seriesfilter convergencemodular convergencefilter exhaustivenessfilter singularityfilter convergence in measure

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Integral operators (47G10) Rate of convergence, degree of approximation (41A25) Approximation by operators (in particular, by integral operators) (41A35)

Related Items (11)

Korovkin-type theorems for abstract modular convergence ⋮ Abstract Korovkin-type theorems in modular spaces and applications ⋮ Approximation by positive linear operators in modular spaces by power series method ⋮ Triangular \(A\)-statistical approximation by double sequences of positive linear operators ⋮ L^pSpaces in vector lattices and applications ⋮ Abstract Korovkin type theorems on modular spaces by $\mathscr{A}$-summability ⋮ Vitali-type theorems for filter convergence related to vector lattice-valued modulars and applications to stochastic processes ⋮ Rates of approximation for general sampling-type operators in the setting of filter convergence ⋮ Korovkin-type theorems for modular \(\Psi\)-\(A\)-statistical convergence ⋮ Statistical relative \(\mathcal{A}\)-summation process and Korovkin-type approximation theorem on modular spaces ⋮ Unnamed Item

Cites Work

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