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New dynamic Hilbert-type inequalities in two independent variables involving Fenchel–Legendre transform
Journal article   Open access  Peer reviewed

New dynamic Hilbert-type inequalities in two independent variables involving Fenchel–Legendre transform

A. A. El-Deeb, Saima Rashid, Zareen A. Khan and S. D. Makharesh
Advances in difference equations, Vol.2021(1), pp.1-24
03/05/2021
DOI: https://doi.org/10.1186/s13662-021-03394-w

Abstract

Analysis Difference and Functional Equations Functional Analysis general Mathematics Mathematics and Statistics Ordinary Differential Equations Partial Differential Equations
In this paper, we establish some dynamic Hilbert-type inequalities in two independent variables on time scales by using the Fenchel–Legendre transform. We also apply our inequalities to discrete and continuous calculus to obtain some new inequalities as particular cases. Our results give more general forms of several previously established inequalities.
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https://doi.org/10.1186/s13662-021-03394-wView
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