Geodesic
Hermite--Hadamard Inequalities for Differentiable $p$-convex Functions Using Hypergeometric Functions
Publications de l'Institut Mathématique, _N_S_100 (2016) no. 114, p. 251 .

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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.
DOI : 10.2298/PIM1614251N
Classification : 26D15, 26A51
Keywords: convex functions, $p$-convex functions, Hermite--Hadamard inequalities 
@article{10_2298_PIM1614251N,
     author = {Muhammad Aslam Noor and Muhammad Uzair Awan and Marcela V. Mihai and Khalida Inayat Noor},
     title = {Hermite--Hadamard {Inequalities} for {Differentiable} $p$-convex {Functions} {Using} {Hypergeometric} {Functions}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {251 },
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     year = {2016},
     doi = {10.2298/PIM1614251N},
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     url = {http://geodesic.mathdoc.fr/articles/10.2298/PIM1614251N/}
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Muhammad Aslam Noor; Muhammad Uzair Awan; Marcela V. Mihai; Khalida Inayat Noor. Hermite--Hadamard Inequalities for Differentiable $p$-convex Functions Using Hypergeometric Functions. Publications de l'Institut Mathématique, _N_S_100 (2016) no. 114, p. 251 . doi : 10.2298/PIM1614251N. http://geodesic.mathdoc.fr/articles/10.2298/PIM1614251N/

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