On multidimensional sinc-Gauss sampling formulas for analytic functions

DOI10.1553/etna_vol55s242zbMath1490.94044OpenAlexW4205282566WikidataQ113740230 ScholiaQ113740230MaRDI QIDQ2672175

Rashad M. Asharabi, Felwah H. Al-Haddad

Publication date: 8 June 2022

Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1553/etna_vol55s242

zbMATH Keywords

error estimatelocalization operatormultidimensional sinc-Gauss sampling formulamultivariate analytic function

Mathematics Subject Classification ID

Rate of convergence, degree of approximation (41A25) Entire functions of several complex variables (32A15) Remainders in approximation formulas (41A80) Sampling theory in information and communication theory (94A20)

Related Items (2)

A multidimensional Hermite-Gauss sampling formula for analytic functions of several variables ⋮ Exponential sampling with a multiplier

Cites Work

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• Generalized sinc-Gaussian sampling involving derivatives
• Complex analytic approach to the sinc-Gauss sampling formula
• Approximation of eigenvalues of Dirac systems with eigenparameter in all boundary conditions by sinc-Gaussian method
• Error analysis for regularized multidimensional sampling expansions
• Generalized bivariate Hermite-Gauss sampling
• The use of the sinc-Gaussian sampling formula for approximating the derivatives of analytic functions
• Localized sampling in the presence of noise
• Accurate sampling formula for approximating the partial derivatives of bivariate analytic functions
• Convergence Analysis of the Gaussian Regularized Shannon Sampling Series
• On two-dimensional classical and Hermite sampling
• On the regularized Whittaker-Kotel’nikov-Shannon sampling formula

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