On linear combinations of general exponential sampling series

DOI10.1007/s00025-019-1104-xzbMath1447.41006OpenAlexW2978664184WikidataQ115609474 ScholiaQ115609474MaRDI QIDQ2279798

Ilaria Mantellini, Simona Balsamo

Publication date: 16 December 2019

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-019-1104-x

zbMATH Keywords

momentsVoronovskaja-type formulaPeetre K-functionalgeneralized exponential sampling series

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 (10)

Approximation of discontinuous signals by exponential sampling series ⋮ Approximation by Durrmeyer Type Exponential Sampling Operators ⋮ Approximation results for Hadamard-type exponential sampling Kantorovich series ⋮ Bivariate generalized Kantorovich-type exponential sampling series ⋮ On bivariate Kantorovich exponential sampling series ⋮ Approximation by multivariate max-product Kantorovich exponential sampling operators ⋮ On a Durrmeyer-type modification of the exponential sampling series ⋮ Fractional type multivariate sampling operators ⋮ Boundedness properties of semi-discrete sampling operators in Mellin-Lebesgue spaces ⋮ On Approximation by Kantorovich Exponential Sampling Operators

Cites Work

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• Exact interpolation theorems for Lipschitz continuous functions
• On Mellin convolution operators: a direct approach to the asymptotic formulae
• A self-contained approach to mellin transform analysis for square integrable functions; applications
• A generalization of the exponential sampling series and its approximation properties
• Exponential-sampling method for Laplace and other dilationally invariant transforms: II. Examples in photon correlation spectroscopy and Fraunhofer diffraction

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