A Quantitative Estimate for the Sampling Kantorovich Series in Terms of the Modulus of Continuity in Orlicz Spaces

DOI10.33205/cma.484500zbMath1463.41037OpenAlexW2906872788WikidataQ128637052 ScholiaQ128637052MaRDI QIDQ5122725

Danilo Costarelli, Gianluca Vinti

Publication date: 24 September 2020

Published in: Constructive Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.33205/cma.484500

zbMATH Keywords

modulus of continuityOrlicz spaceskernelsquantitative estimatessampling Kantorovich series

Mathematics Subject Classification ID

Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Rate of convergence, degree of approximation (41A25) Approximation by operators (in particular, by integral operators) (41A35)

Related Items (14)

Approximation properties of modified \((p,q)\)-Szász-Mirakyan-Kantorovich operators ⋮ Wavelet approximation in Orlicz spaces ⋮ Convergence theorems in Orlicz and Bögel continuous functions spaces by means of Kantorovich discrete type sampling operators ⋮ On a new approach in the space of measurable functions ⋮ On the generalized Mellin integral operators ⋮ Multi-fidelity analysis and uncertainty quantification of beam vibration using co-kriging interpolation method ⋮ The max-product generalized sampling operators: convergence and quantitative estimates ⋮ Quantitative estimates for nonlinear sampling Kantorovich operators ⋮ GENERALIZED BERNSTEIN-KANTOROVICH OPERATORS OF BLENDING TYPE ⋮ Small pre-quasi Banach operator ideals of type Orlicz-Cesáro mean sequence spaces ⋮ Rates of approximation by neural network interpolation operators ⋮ Multivariate sampling Kantorovich operators: quantitative estimates in Orlicz spaces ⋮ Generalized Bernstein-Durrmeyer operators of blending type ⋮ Quantitative estimates for Durrmeyer-sampling series in Orlicz spaces

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