Asymptotic formulae for multivariate Kantorovich type generalized sampling series

DOI10.1007/s10114-011-0227-0zbMath1303.41008OpenAlexW2032052780MaRDI QIDQ475732

Carlo Bardaro, Ilaria Mantellini

Publication date: 27 November 2014

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-011-0227-0

zbMATH Keywords

momentsVoronovskaja-type formulamultivariate Kantorovich generalized sampling seriesPeetre K-functional

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Rate of convergence, degree of approximation (41A25) Sampling theory in information and communication theory (94A20)

Related Items (12)

Approximation by sampling Kantorovich series in weighted spaces of functions ⋮ An approximation scheme for the Kantorovich-Rubinstein problem on compact spaces ⋮ On linear combinations of multivariate generalized sampling type series ⋮ On pointwise approximation properties of multivariate semi-discrete sampling type operators ⋮ Multidimensional sampling-Kantorovich operators in \textit{BV}-spaces ⋮ Fractional type multivariate neural network operators ⋮ Inverse approximation and GBS of bivariate Kantorovich type sampling series ⋮ Fractional type multivariate sampling operators ⋮ An Inverse Result of Approximation by Sampling Kantorovich Series ⋮ Quantitative Voronovskaja formulae for generalized Durrmeyer sampling type series ⋮ Generalized Kantorovich sampling type series on hypergroups ⋮ Multivariate sampling Kantorovich operators: quantitative estimates in Orlicz spaces

Cites Work

• A Voronovskaya-type theorem for a general class of discrete operators
• B-splines from parallelepipeds
• Degree of \(L_1\) approximation to integrable functions by modified Bernstein polynomials
• On a. e. convergence of multivariate Kantorovich polynomials
• Korovkin-type approximation theory and its applications
• Asymptotic expansion of multivariate Kantorovich type operators
• Kantorovich-Bernstein polynomials
• Exact interpolation theorems for Lipschitz continuous functions
• Approximation by Smooth Multivariate Splines
• Generalized Sampling Approximation of Bivariate Signals: Rate of Pointwise Convergence
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Asymptotic formulae for multivariate Kantorovich type generalized sampling series