m-Convex Functions of Higher Order

Abstract

In this research we introduce the concept of m-convex function of higher order by means of the so called m-divided difference; elementary properties of this type of functions are exhibited and some examples are provided.

Keywords

• m-convex functions
• m-convex functions of higher order
• mdifference operator
• m-divided difference
• positively homogeneous function
• 26a51
• 39b62
• 26a48