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

HERMITE–HADAMARD INEQUALITIES FOR DIFFERENTIABLE $P$CONVEX FUNCTIONS USING HYPERGEOMETRIC FUNCTIONSMuhammad Aslam Noor, Muhammad Uzair Awan, Marcela V. Mihai, Khalida Inayat NoorDepartment of Mathematics, COMSATS Institute of Information Technology, Islamabad, Pakistan; Department of Mathematics, Government College University, Faisalabad, Pakistan; Department scientificmethodical sessions, Romanian Mathematical Societybranch Bucharest, Bucharest, RomaniaAbstract: 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 Full text of the article: (for faster download, first choose a mirror)
Electronic fulltext finalized on: 8 Nov 2016. This page was last modified: 14 Nov 2016.
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