4.7 Article

Generalizations of Hardy Type Inequalities by Abel-Gontscharoff's Interpolating Polynomial

Journal

MATHEMATICS
Volume 9, Issue 15, Pages -

Publisher

MDPI
DOI: 10.3390/math9151724

Keywords

inequalities; Hardy type inequalities; Abel-Gontscharoff interpolating polynomial; Green function; Chebyshev functional; Gruss type inequalities; Ostrowski type inequalities; convex function; kernel; upper bounds

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This paper extends Hardy's type inequalities to convex functions of higher order and provides upper bounds for the generalized Hardy's inequality, along with some applications.
In this paper, we extend Hardy's type inequalities to convex functions of higher order. Upper bounds for the generalized Hardy's inequality are given with some applications.

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