Some Trapezium-Like Inequalities Involving Functions Having Strongly n-Polynomial Preinvexity Property of Higher Order

الملخص EN

The main objective of this paper is to introduce a new class of preinvex functions which is called as n-polynomial preinvex functions of a higher order.

As applications of this class of functions, we discuss several new variants of trapezium-like inequalities.

In order to obtain the main results of the paper, we use the concepts and techniques of k-fractional calculus.

We also discuss some special cases of the obtained results which show that the main results of the paper are quite unifying one.