Boundedness properties of semi-discrete sampling operators in Mellin–Lebesgue spaces-Reference-Cited by-同舟云学术

Boundedness properties of semi-discrete sampling operators in Mellin–Lebesgue spaces

Published:2021 Issue:0 Volume:0 Page:0
ISSN:2577-8838
Container-title:Mathematical Foundations of Computing
language:
Short-container-title:MFC

Author:

Bardaro Carlo,Mantellini Ilaria

Abstract

<p style='text-indent:20px;'>In this paper we study boundedness properties of certain semi-discrete sampling series in Mellin–Lebesgue spaces. Also we examine some examples which illustrate the theory developed. These results pave the way to the norm-convergence of these operators</p>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Artificial Intelligence,Computational Mathematics,Computational Theory and Mathematics,Theoretical Computer Science

Reference39 articles.

1. L. Angeloni, D. Costarelli, G. Vinti.A characterization of the convergence in variation for the generalized sampling series, Ann. Acad. Sci. Fenn. Math., 43 (2018), 755-767.

2. L. Angeloni, D. Costarelli, G. Vinti.Convergence in variation for the multidimensional generalized sampling series and applications to smoothing for digital image processing, Ann. Acad. Sci. Fenn. Math., 45 (2020), 751-770.

3. F. Asdrubali, G. Baldinelli, F. Bianchi, D. Costarelli, A. Rotili, M. Seracini, G. Vinti.Detection of thermal bridges from thermographic images by means of image processing approximation algorithms, Appl. Math. Comput., 317 (2018), 160-171.

4. S. Balsamo and I. Mantellini, On linear combinations of general exponential sampling series, Results Math., 74 (2019), Paper No. 180, 19 pp.

5. C. Bardaro, P. L. Butzer, I. Mantellini.The exponential sampling theorem of signal analysis and the reproduction kernel formula in the Mellin transform setting, Sampl. Theory Signal Image Process., 13 (2014), 35-66.

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