Approximation results for nonlinear integral operators in modular spaces and applications

DOI10.4064/AP81-1-5zbMath1019.41013OpenAlexW2014842440MaRDI QIDQ4484548

Gianluca Vinti, Ilaria Mantellini

Publication date: 12 June 2003

Published in: Annales Polonici Mathematici (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/ap81-1-5

zbMATH Keywords

modular convergencenonlinear integral operatorsnonlinear generalized sampling series

Mathematics Subject Classification ID

Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Integral operators (47G10) Approximation by operators (in particular, by integral operators) (41A35) Modular spaces (46A80)

Related Items (13)

Degree of Approximation for Nonlinear Multivariate Sampling Kantorovich Operators on Some Functions Spaces ⋮ On linear combinations of multivariate generalized sampling type series ⋮ Convergence Results for Nonlinear Sampling Kantorovich Operators in Modular Spaces ⋮ Convergence of perturbed sampling Kantorovich operators in modular spaces ⋮ Convergence in variation for the multidimensional generalized sampling series and applications to smoothing for digital image processing ⋮ Unnamed Item ⋮ Estimates of the approximation error for abstract sampling type operators in Orlicz spaces ⋮ Quantitative estimates for nonlinear sampling Kantorovich operators ⋮ Convergence of sampling Kantorovich operators in modular spaces with applications ⋮ Exponential sampling series: convergence in Mellin-Lebesgue spaces ⋮ Approximation by means of nonlinear Kantorovich sampling type operators in Orlicz spaces ⋮ Approximation by Nonlinear Multivariate Sampling Kantorovich Type Operators and Applications to Image Processing ⋮ Modulars from Nakano onwards

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