Journal of Prime Research in Mathematics

Some new inequalities related to \((α, m)\)-convex functions

Farhat Safdar
SBK Women’s University, Quetta. Pakistan. 
Muhammad Aslam Noor
COMSATS University, Park Road, Islamabad, Pakistan.
Khalida Inayat Noor
COMSATS University, Park Road, Islamabad, Pakistan.

\(^{1}\)Corresponding Author:


In this paper, we establish some results for functions whose derivatives in absolute values at certain power is generalized \((α, m)\)-convex function. We derive some new estimates to the right-hand side of HermiteHadamard inequality for functions whose absolute values of second derivatives raised to real powers are m-convex functions. Special cases are discussed as applications of our results. The technique of this paper may stimulate further research in this field.


Generalized convex functions, Generalized \((α, m)\)-convex function, Hermite-Hadamard type inequalities, Holder’s inequality.