Some New Classes of Preinvex Functions and Inequalities

Muhammad Aslam Noor, Khalida Inayat Noor and Saima Rashid
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Muhammad Aslam Noor: Department of Mathematics, COMSATS University Islamabad, Islamabad 44000, Pakistan
Khalida Inayat Noor: Department of Mathematics, COMSATS University Islamabad, Islamabad 44000, Pakistan
Saima Rashid: Department of Mathematics, COMSATS University Islamabad, Islamabad 44000, Pakistan

Mathematics, 2018, vol. 7, issue 1, 1-16

Abstract: In this article, we introduce some new class of preinvex functions involving two arbitrary auxiliary functions. We derive some new integral inequalities for these classes of preinvex functions. We also discuss some special cases which can be deduced from our main results.

Keywords: convex function; preinvex function; Hermite–Hadamard inequality; Holder’s inequality and power-mean inequality (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2018
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