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Some New Inverse Hilbert Inequalities on Time Scales
Journal article   Open access  Peer reviewed

Some New Inverse Hilbert Inequalities on Time Scales

Ahmed A. El-Deeb, Samer D. Makharesh and Barakah Almarri
Symmetry (Basel), Vol.14(11), p.2234
01/11/2022

Abstract

Multidisciplinary Sciences Science & Technology Science & Technology - Other Topics
Several inverse integral inequalities were proved in 2004 by Yong. It is our aim in this paper to extend these inequalities to time scales. Furthermore, we also apply our inequalities to discrete and continuous calculus to obtain some new inequalities as special cases. Our results are proved using some algebraic inequalities, inverse Holder's inequality and inverse Jensen's inequality on time scales. Symmetry plays an essential role in determining the correct methods to solve dynamic inequalities.
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https://doi.org/10.3390/sym14112234View
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