Approximation properties of exponential sampling series in logarithmic weighted spaces

Rate of convergence, degree of approximation (41A25) Approximation by operators (in particular, by integral operators) (41A35) Sampling theory in information and communication theory (94A20) Representations of entire functions of one complex variable by series and integrals (30D10)

Cites Work

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Asymptotic formulae for linear combinations of generalized sampling operators
Order of approximation for sampling Kantorovich operators
Rate of approximation for multivariate sampling Kantorovich operators on some functions spaces
Direct and inverse results for Kantorovich type exponential sampling series
A direct approach to the Mellin transform
On the functions which are represented by the expansions of the interpolation-theory.
Inverse results of approximation and the saturation order for the sampling Kantorovich series
A general method to study the convergence of nonlinear operators in Orlicz spaces
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Generalized Kantorovich forms of exponential sampling series
A strong converse inequality for generalized sampling operators
Convergence of generalized sampling series in weighted spaces
On a Durrmeyer-type modification of the exponential sampling series
On linear combinations of general exponential sampling series
Inverse approximation and GBS of bivariate Kantorovich type sampling series
Exponential sampling series: convergence in Mellin-Lebesgue spaces
Approximation of discontinuous signals by sampling Kantorovich series
Approximation by generalized bivariate Kantorovich sampling type series
Quantitative Voronovskaja formulae for generalized Durrmeyer sampling type series
Generalized Sampling Approximation of Bivariate Signals: Rate of Pointwise Convergence
A sampling theorem for duration-limited functions with error estimates
A generalization of the exponential sampling series and its approximation properties
Bivariate Generalized Exponential Sampling Series and Applications to Seismic Waves
Multivariate sampling Kantorovich operators: quantitative estimates in Orlicz spaces
On Approximation by Kantorovich Exponential Sampling Operators
Approximation properties of multivariate exponential sampling series
Approximation by sampling Kantorovich series in weighted spaces of functions
A fast converging sampling operator
Approximation by Durrmeyer Type Exponential Sampling Operators
Approximation by Sampling Durrmeyer Operators in Weighted Space of Functions
Convergence in variation for the multidimensional generalized sampling series and applications to smoothing for digital image processing
An Inverse Result of Approximation by Sampling Kantorovich Series
Exponential-sampling method for Laplace and other dilationally invariant transforms: II. Examples in photon correlation spectroscopy and Fraunhofer diffraction
Multidimensional Kantorovich modifications of exponential sampling series
On the convergence properties of sampling Durrmeyer‐type operators in Orlicz spaces
Convergence Results for Nonlinear Sampling Kantorovich Operators in Modular Spaces
Approximation results for Hadamard-type exponential sampling Kantorovich series
Nonlinear multivariate sampling Kantorovich operators: quantitative estimates in functional spaces
The multivariate Durrmeyer-sampling type operators in functional spaces
Pointwise convergence of generalized Kantorovich exponential sampling series
Approximation by bivariate generalized sampling series in weighted spaces of functions