Quantitative estimates for Durrmeyer-sampling series in Orlicz spaces

DOI10.1007/s43670-022-00042-6OpenAlexW4309889460MaRDI QIDQ2103086

Gianluca Vinti, Michele Piconi, Danilo Costarelli

Publication date: 13 December 2022

Published in: Sampling Theory, Signal Processing, and Data Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s43670-022-00042-6

zbMATH Keywords

order of approximationOrlicz spacesmodulus of smoothnessquantitative estimateskernel functionsDurrmeyer-sampling 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) Rate of convergence, degree of approximation (41A25) Approximation by operators (in particular, by integral operators) (41A35)

Related Items (5)

Convergence of perturbed sampling Kantorovich operators in modular spaces ⋮ Convergence of semi-discrete exponential sampling operators in Mellin-Lebesgue spaces ⋮ Bivariate generalized Kantorovich-type exponential sampling series ⋮ Some elementary properties of Bernstein-Kantorovich operators on mixed norm Lebesgue spaces and their implications in fractal approximation ⋮ Quantitative estimates for Durrmeyer-sampling series in Orlicz spaces

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