Some new inequalities related to (α,m)(α,m)-convex functions

Authors

  • Farhat Safdar SBK Women’s University, Quetta. Pakistan.
  • Muhammad Aslam Noor COMSATS University, Park Road, Islamabad, Pakistan.
  • Khalida Inayat Noor COMSATS University, Park Road, Islamabad, Pakistan.

Keywords:

Generalized convex functions, Generalized ( α , m ) -convex function, Hermite-Hadamard type inequalities, Holder’s inequality

Abstract

In this paper, we establish some results for functions whose derivatives in absolute values at certain power is generalized (α,m)(α,m)-convex function. We derive some new estimates to the right-hand side of HermiteHadamard inequality for functions whose absolute values of second derivatives raised to real powers are m-convex functions. Special cases are discussed as applications of our results. The technique of this paper may stimulate further research in this field.

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Published

2019-12-31

Issue

Vol. 15 No. 1 (2019): Journal of Prime Research in Mathematics

Section

Regular

How to Cite

Some new inequalities related to (α,m)(α,m)-convex functions. (2019). Journal of Prime Research in Mathematics, 15(1), 49 – 62. https://jprm.sms.edu.pk/index.php/jprm/article/view/94