Approximation Results for a General Class of Kantorovich Type Operators
From MaRDI portal
Publication:2935487
DOI10.1515/ans-2014-0410zbMath1305.41027arXiv1408.5609OpenAlexW2962980670MaRDI QIDQ2935487
Publication date: 30 December 2014
Published in: Advanced Nonlinear Studies (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1408.5609
uniform convergenceestimatesOrlicz spacespointwise convergencemodular convergenceKantorovich convolution type operatorsKantorovich Mellin type operatorsKantorovich sampling type operators
Related Items (29)
Approximation properties of periodic multivariate quasi-interpolation operators ⋮ Uniform approximation by multivariate quasi-projection operators ⋮ Approximation theorems for a family of multivariate neural network operators in Orlicz-type spaces ⋮ Approximation by max-product neural network operators of Kantorovich type ⋮ Convergence in variation and a characterization of the absolute continuity ⋮ A general approximation approach for the simultaneous treatment of integral and discrete operators ⋮ Max-product neural network and quasi-interpolation operators activated by sigmoidal functions ⋮ Degree of Approximation for Nonlinear Multivariate Sampling Kantorovich Operators on Some Functions Spaces ⋮ A review on approximation results for integral operators in the space of functions of bounded variation ⋮ Approximation by Durrmeyer Type Exponential Sampling Operators ⋮ Approximation by a Kantorovich variant of Szász operators based on Brenke-type polynomials ⋮ Approximation by multivariate Kantorovich-Kotelnikov operators ⋮ Quasi-projection operators in weighted \(L_p\) spaces ⋮ Approximation of discontinuous signals by sampling Kantorovich series ⋮ Approximation by periodic multivariate quasi-projection operators ⋮ Saturation classes for MAX-product neural network operators activated by sigmoidal functions ⋮ On approximation properties of generalized Kantorovich-type sampling operators ⋮ Detection of thermal bridges from thermographic images by means of image processing approximation algorithms ⋮ Convergence for a family of neural network operators in Orlicz spaces ⋮ Degree of approximation for bivariate extension of Chlodowsky-type $q$-Bernstein-Stancu-Kantorovich operators ⋮ Rate of approximation for multivariate sampling Kantorovich operators on some functions spaces ⋮ Approximation by multivariate quasi-projection operators and Fourier multipliers ⋮ Modified Bernstein-Kantorovich operators for functions of one and two variables ⋮ Quantitative estimates involving K-functionals for neural network-type operators ⋮ Saturation by the Fourier transform method for the sampling Kantorovich series based on bandlimited kernels ⋮ Quasi-projection operators with applications to differential-difference expansions ⋮ Generalized Kantorovich sampling type series on hypergroups ⋮ Direct and inverse results for Kantorovich type exponential sampling series ⋮ On Approximation by Kantorovich Exponential Sampling Operators
Cites Work
- Approximation error of the Whittaker cardinal series in terms of an averaged modulus of smoothness covering discontinuous signals
- Approximation by means of nonlinear Kantorovich sampling type operators in Orlicz spaces
- Approximation of continuous and discontinuous functions by generalized sampling series
- A direct approach to the Mellin transform
- Sampling Theory for not Necessarily Band-Limited Functions: A Historical Overview
- A general approach to the convergence theorems of generalized sampling series
- Note on the class LlogL
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Approximation Results for a General Class of Kantorovich Type Operators