On a Durrmeyer-type modification of the exponential sampling series

DOI10.1007/s12215-020-00559-6zbMath1477.42030OpenAlexW3088368946WikidataQ115601561 ScholiaQ115601561MaRDI QIDQ2243650

Ilaria Mantellini, Carlo Bardaro

Publication date: 11 November 2021

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-020-00559-6

zbMATH Keywords

momentsmodulus of continuityVoronovskaja formulaMellin derivativesexponential sampling Durrmeyer series

Mathematics Subject Classification ID

General harmonic expansions, frames (42C15) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Sampling theory in information and communication theory (94A20)

Related Items (8)

Approximation of discontinuous functions by Kantorovich exponential sampling series ⋮ Approximation by Durrmeyer Type Exponential Sampling Operators ⋮ Approximation results for Hadamard-type exponential sampling Kantorovich series ⋮ Convergence of semi-discrete exponential sampling operators in Mellin-Lebesgue spaces ⋮ Semi‐discrete operators in multivariate setting: Convergence properties and applications ⋮ Bivariate generalized Kantorovich-type exponential sampling series ⋮ Boundedness properties of semi-discrete sampling operators in Mellin-Lebesgue spaces ⋮ Generalized Kantorovich forms of exponential sampling series

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the Paley-Wiener theorem in the Mellin transform setting
• Asymptotic formulae for linear combinations of generalized sampling operators
• A unifying approach to convergence of linear sampling type operators in Orlicz spaces
• A note on the Voronovskaja theorem for Mellin-Fejér convolution operators
• A direct approach to the Mellin transform
• On pointwise approximation properties of multivariate semi-discrete sampling type operators
• Inverse results of approximation and the saturation order for the sampling Kantorovich series
• Approximation results in Orlicz spaces for sequences of Kantorovich MAX-product neural network operators
• On linear combinations of general exponential sampling series
• Saturation by the Fourier transform method for the sampling Kantorovich series based on bandlimited kernels
• Exponential sampling series: convergence in Mellin-Lebesgue spaces
• Approximation of discontinuous signals by sampling Kantorovich series
• A characterization of the absolute continuity in terms of convergence in variation for the sampling Kantorovich operators
• Detection of thermal bridges from thermographic images by means of image processing approximation algorithms
• Quantitative Voronovskaja formulae for generalized Durrmeyer sampling type series
• A segmentation procedure of the pervious area of the aorta artery from CT images without contrast medium
• A generalization of the exponential sampling series and its approximation properties
• A fresh approach to the Paley–Wiener theorem for Mellin transforms and the Mellin–Hardy spaces
• Prediction by Samples From the Past With Error Estimates Covering Discontinuous Signals
• Exponential-sampling method for Laplace and other dilationally invariant transforms: II. Examples in photon correlation spectroscopy and Fraunhofer diffraction

This page was built for publication: On a Durrmeyer-type modification of the exponential sampling series