Some new refined Hardy type integral inequalities
Khaled Mehrez
TL;DR
This paper introduces new refined Hardy-type integral inequalities using Jensen's and Chebyshev's inequalities, providing generalizations and reverse relations to deepen understanding of these mathematical bounds.
Contribution
It presents novel refined inequalities and their reverse forms, expanding the theoretical framework of Hardy-type integral inequalities.
Findings
New generalized Hardy inequalities derived
Reverse inequalities established
Enhanced bounds for integral inequalities proved
Abstract
In this paper, by using Jensen's inequality and Chebyshev integral inequality, some generalizations and new refined Hardy type integral inequalities are obtained. In addition, the corresponding reverse relation are also proved.
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Taxonomy
TopicsMathematical Inequalities and Applications · Nonlinear Differential Equations Analysis · Differential Equations and Boundary Problems