Volume no :59, Issue no: 1, November (2019)

Journal of Mathematical Sciences: Advances and Applications

ON A STRENGTHENED FORM OF A GENERAL HARDY-TYPE INEQUALITY

Author's: O. O. Fabelurin, G. Akinbo and S. O. Ezeah
Pages: [19] - [31]
Received Date: September 13, 2019; Revised October 17, 2019
Submitted by:
DOI: http://dx.doi.org/10.18642/jmsaa_7100122096

Abstract

In this paper, we employed the concept of superquadratic functions to obtain a class of Hardy-type inequalities involving a more general Hardy operator. Our results are new and in some cases refine and improve similar results in the literature.

Keywords

Jensen’s inequality, superquadratic functions, Hardy-type inequalities.