%0 Journal Article %T Strongly Multiplicatively -function and Some New Inequalities %A Mahir Kadakal %J Turkish Journal of Analysis and Number Theory %D 2019 %R 10.12691/tjant-7-3-1 %X In this study, we present a new definition of convexity. This definition is the class of strongly multiplicatively P-functions. Some new Hermite-Hadamard type inequalities are derived for strongly multiplicatively -functions. Some applications to special means of real numbers are given. Ideas of this paper may stimulate further research %U http://www.sciepub.com/TJANT/abstract/11102