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

Carlo Bardaro | Zendy; Ilaria Mantellını | Zendy

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

Author(s) -

Carlo Bardaro,

Ilaria Mantellını

Publication year - 2021

Publication title -

mathematical foundations of computing

Language(s) - English

Resource type - Journals

ISSN - 2577-8838

DOI - 10.3934/mfc.2021031

Subject(s) - lp space , mathematics , norm (philosophy) , standard probability space , sampling theory , sampling (signal processing) , lebesgue integration , convergence (economics) , pure mathematics , mellin transform , mathematical analysis , computer science , banach space , statistics , sample size determination , filter (signal processing) , political science , law , economics , computer vision , economic growth , laplace transform

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

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