EMIS ELibM Electronic Journals Publications de l’Institut Mathématique, Nouvelle Série
Vol. 100[114], No. 1/1, pp. 251–257 (2016)

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HERMITE–HADAMARD INEQUALITIES FOR DIFFERENTIABLE P-CONVEX FUNCTIONS USING HYPERGEOMETRIC FUNCTIONS

Muhammad Aslam Noor, Muhammad Uzair Awan, Marcela V. Mihai, Khalida Inayat Noor

Department of Mathematics, COMSATS Institute of Information Technology, Islamabad, Pakistan; Department of Mathematics, Government College University, Faisalabad, Pakistan; Department scientific-methodical sessions, Romanian Mathematical Society-branch Bucharest, Bucharest, Romania

Abstract: We derive some new integral identities for differentiable functions. Then using these auxiliary results, we obtain new Hermite–Hadamard type inequalities for differentiable p-convex functions. Some special cases are also discussed.

Keywords: convex functions; p-convex functions; Hermite–Hadamard inequalities

Classification (MSC2000): 26D15; 26A51

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Electronic fulltext finalized on: 8 Nov 2016. This page was last modified: 14 Nov 2016.

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