Muhammad Aslam Noor, Khalida Inayat Noor, Farhat Safdar, Integral inequalities via generalized (alpha, m)-convex functions, Vol. 2017 (2017), Article ID 32, pp. 1-13

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DOI: 10.23952/jnfa.2017.32

Received March 11, 2017; Accepted May 28, 2017; Published June 5, 2017

Abstract. In this paper, we introduce the concept of generalized ( $\alpha, m$ )-convex functions. Some new integral inequalities related to left hand side of the Hermite-Hadamard type for the class of functions whose second derivative at certain powers are generalized ( $\alpha, m$ )-functions are proved. Some special cases are also discussed. The idea and technique of this paper may stimulate further research in this field.

How to Cite this Article:

Muhammad Aslam Noor, Khalida Inayat Noor, Farhat Safdar, Integral inequalities via generalized ( $\alpha, m$ )-convex functions, Journal of Nonlinear Functional Analysis, Vol. 2017 (2017), Article ID 32, pp. 1-13.