A general method to study the convergence of nonlinear operators in Orlicz spaces

DOI10.1515/ans-2022-0023OpenAlexW4313186579MaRDI QIDQ2093495

Gianluca Vinti, Luca Zampogni

Publication date: 8 November 2022

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ans-2022-0023

zbMATH Keywords

uniform convergenceestimatesOrlicz spacespointwise convergencemodular convergenceKantorovich convolution-type operatorsKantorovich Mellin-type operatorsKantorovich sampling-type operators

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) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Linear operator approximation theory (47A58) Linear operators on function spaces (general) (47B38) Approximation by operators (in particular, by integral operators) (41A35) Sampling theory in information and communication theory (94A20)

Related Items (1)

Convergence of perturbed sampling Kantorovich operators in modular spaces

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