Mathematica Eterna
Open Access

Abstract

Some Characterizations of Strongly Convex Functions in Inner Product Spaces

Teodoro Lara, Nelson Merentes, Edgar Rosales and Mayrelly Valera

In this research we show some characterizations in terms of inequalities, for strongly convex functions defined on inner product spaces. These results generalize the ones for functions defined on real intervals. They involve ideas of the first and second derivatives on inner product spaces.