#### 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.

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.