Some inequalities of Jensen-Mercer type for convex functions on linear spaces

Authors

  • Silvestru Sever Dragomir Mathematics, College of Engineering & Science Victoria University, Melbourne, Australia

DOI:

https://doi.org/10.31926/but.mif.2021.1.63.1.8

Keywords:

Convex functions, Linear spaces, Jensen's inequality, Mercer's inequality, Norm inequalities

Abstract

In this paper, we extend Mercer's discrete inequality for univariate functions to the case of convex functions on convex subsets of linear spaces and provide some natural applications for norms.

Author Biography

Silvestru Sever Dragomir, Mathematics, College of Engineering & Science Victoria University, Melbourne, Australia

University of the Witwatersrand, South Africa, DST-NRF Centre of Excellence in the Mathematical and Statistical Sciences, School of Computer Science & Applied Mathematics, Private Bag 3, Johannesburg 2050

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Published

2021-07-08

Issue

Vol. 1(63) No. 1 (2021)

Section

MATHEMATICS