Sampling Series, Refinable Sampling Kernels, and Frequency Band Limited Functions

2020 ◽  
pp. 93-140
Author(s):  
Wolodymyr R. Madych
Keyword(s):  
Frequency Band ◽  
Sampling Series ◽  
Band Limited

FREQUENCY BAND-LIMITED FRACTIONAL DIFFERENTIATOR IN PATH TRACKING DESIGN

2006 ◽  
Vol 39 (11) ◽  
pp. 468-474
Author(s):  
Alexandre Poty ◽  
Pierre Melchior ◽  
Alain Oustaloup
Keyword(s):  
Frequency Band ◽  
Path Tracking ◽  
Band Limited ◽  
Fractional Differentiator

scholarly journals A generalization of the exponential sampling series and its approximation properties

2017 ◽  
Vol 67 (6) ◽  
Author(s):  
Carlo Bardaro ◽  
Loris Faina ◽  
Ilaria Mantellini
Keyword(s):  
Uniform Convergence ◽  
Convergence Theorem ◽  
Approximation Properties ◽  
Quantitative Form ◽  
Sampling Series ◽  
Band Limited

AbstractHere we introduce a generalization of the exponential sampling series of optical physics and establish pointwise and uniform convergence theorem, also in a quantitative form. Moreover we compare the error of approximation for Mellin band-limited functions using both classical and generalized exponential sampling series.

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