SOME NEW TRAPEZOIDAL TYPE INEQUALITIES FOR STRONGLY GEOMETRIC-ARITHMETICALLY CONVEX FUNCTIONS

SOME NEW TRAPEZOIDAL TYPE INEQUALITIES FOR STRONGLY GEOMETRIC-ARITHMETICALLY CONVEX FUNCTIONS

A. K. Demirel

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Abstract

This paper considers some preliminary conclusions of Fej er's integral inequality relevant to strongly geometric arithmetic convex functions that is a type of the class of convex functions and also a mapping to produce a novel trapezoidal form. This mapping is used to derive new theorems and results. By utilization these, some applications were given.

Keywords

Trapezoidal type inequalities, strongly convex functions, GA-convex functions, integral inequalities.