On Window Methods in Generalized Shannon Sampling Operators

DOI10.1007/978-3-319-08801-3_4zbMath1318.42002OpenAlexW178509111MaRDI QIDQ5249764

Andi Kivinukk, Gert Tamberg

Publication date: 12 May 2015

Published in: New Perspectives on Approximation and Sampling Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-08801-3_4

zbMATH Keywords

order of approximationBernstein-type inequalityJackson-type inequalitywindow methodgeneralized sampling operatorZygmund-type sampling operator

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Rate of convergence, degree of approximation (41A25) Sampling theory in information and communication theory (94A20) Harmonic analysis in one variable (42A99)

Related Items (7)

Improvement of retinal OCT angiograms by sampling Kantorovich algorithm in the assessment of retinal and choroidal perfusion ⋮ On the convergence properties of sampling Durrmeyer‐type operators in Orlicz spaces ⋮ On approximation properties of generalized Kantorovich-type sampling operators ⋮ Bivariate Generalized Exponential Sampling Series and Applications to Seismic Waves ⋮ Approximation of differentiable and not differentiable signals by the first derivative of sampling Kantorovich operators ⋮ Boundedness properties of semi-discrete sampling operators in Mellin-Lebesgue spaces ⋮ Quantitative estimates for Durrmeyer-sampling series in Orlicz spaces

Cites Work

• Approximation error of the Whittaker cardinal series in terms of an averaged modulus of smoothness covering discontinuous signals
• The sampling theorem and linear prediction in signal analysis
• On truncation errors of some generalized Shannon sampling operators
• Estimates for functionals with a known, finite set of moments, in terms of moduli of continuity, and behavior of constants, in the Jackson-type inequalities
• CHARACTERIZATION OF BLACKMAN KERNELS AS APPROXIMATE IDENTITIES
• Reconstruction of signals inL^p(ℝ)-space by generalized sampling series based on linear combinations ofB-splines†
• Simultaneous approximation of functions and their derivatives on the whole real axis
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On Window Methods in Generalized Shannon Sampling Operators