Journal of Prime Research in Mathematics

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

Farhat Safdar
SBK Women’s University, Quetta. Pakistan.
$$^{1}$$Corresponding Author: farhat_900@yahoo.com
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.