Title of article :
Some integral inequalities for multiplicatively geometrically P-functions
Author/Authors :
Kadakal, Huriye Ministry of Education - Bulancak Bah ̧celievler Anatolian High School, Turkey
Abstract :
In this manuscript, by using a general identity for differentiable functions we can obtain new estimates on a generalization of Hadamard, Ostrowski and Simpson type inequalities for functions whose derivatives in absolute value at certain power are multiplicatively geometrically P-functions. Some applications to special means of real numbers are also given.
Keywords :
Hermite-Hadamard inequality , Simpson type inequality , Ostrowski type inequality , trapezoid type inequality , midpoint type inequality , convex function , multiplicatively P-functions , multiplicatively geometrically P-function
Journal title :
International Journal of Optimization and Control: Theories and Applications
