Generalizations of Hardy Type Inequalities by Abel–Gontscharoff’s Interpolating Polynomial

Abstract

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.

Keywords

• inequalities
• Hardy type inequalities
• Abel–Gontscharoff interpolating polynomial
• Green function
• Chebyshev functional
• Grüss type inequalities