SOME NEW INTEGRAL INEQUALITIES OF HADAMARD-SIMPSON TYPE FOR EXTENDED (s,m)-PREINVEX FUNCTIONS

Authors

  • Yujiao Li China Three Gorges University - College of Science
  • Tingsong Du China Three Gorges University - College of Science
  • Bo Yu China Three Gorges University - College of Science

Keywords:

(s,m)-preinvex functions, extended (s,m)-preinvex functions, Hadamard type integral inequality, Simpson type integral inequality

Abstract

The (s,m)-preinvex function and the extended (s,m)-preinvex function are firstly introduced.  An integral identity for differentiable functions is then derived.  Based on this integral identity, some Hadamard-Simpson type integral inequalities are investigated, which generalizes the existing similar type integral inequalities.

Downloads

Published

2016-07-29

How to Cite

Li, Y., Du, T., & Yu, B. (2016). SOME NEW INTEGRAL INEQUALITIES OF HADAMARD-SIMPSON TYPE FOR EXTENDED (s,m)-PREINVEX FUNCTIONS. Italian Journal of Pure and Applied Mathematics, 36, 583–600. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6558

Issue

N°36 - July 2016

Section

Articoli - Forum Editrice

License

Copyright (c) 2016 Yujiao Li, Tingsong Du, Bo Yu

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

L'opera è pubblicata sotto  Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)