Nonconvex Functions and Integral Inequalities

Authors

  • Muhammad Aslam Noor Department of Mathematics, COMSATS Institute of Information Technology, Park Road, Islamabad, Pakistan.
  • Khalida Inayat Noor Department of Mathematics, COMSATS Institute of Information Technology, Park Road, Islamabad, Pakistan.
  • Sabah Iftikhar Department of Mathematics, COMSATS Institute of Information Technology, Park Road, Islamabad, Pakistan.

Keywords:

convex functions, Hermite-Hadamard type inequalities

Abstract

A new Hermite-Hadamard inequality for p-convex(nonconvex) functions is obtained, which can be viewed as a refinement of known results. We derive some new inequalities for functions whose derivatives in absolute value are nonconvex.Results obtained in this
paper continue to hold for special cases. Techniques and ideas of this paper may stimulate further research in this field.

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Published

2015-12-31

Issue

Vol. 47 No. 2 (2015)

Section

Articles

License

Copyright (c) 2015 Muhammad Aslam Noor, Khalida Inayat Noor, Sabah Iftikhar

Creative Commons License

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

How to Cite

Nonconvex Functions and Integral Inequalities. (2015). Punjab University Journal of Mathematics, 47(2), 19-27. https://pujm.pu.edu.pk/index.php/pujm/article/view/48