Rad HAZU, Matematičke znanosti, Vol. 20 (2016), 51-70.

HARMONIC MT-PREINVEX FUNCTIONS AND INTEGRAL INEQUALITIES

Muhammad Aslam Noor, Khalida Inayat Noor and Sabah Iftikhar

Abstract.   In this paper, we introduce a new class of harmonic preinvex functions, which is called harmonic MT-preinvex functions. Some new Hermite-Hadamard type inequalities for harmonic MT-preinvex functions are derived. Some special cases are also discussed. Results proved in this paper represent refinements and improvements of the known results.

2010 Mathematics Subject Classification.   26D15, 26D10, 90C23.

Key words and phrases.   Harmonic convex functions, Harmonic preinvex functions, MT-Harmonic convex functions, Hermite-Hadamard type inequality

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