Jensen’s and Hermite–Hadamard’s Type Inequalities for Lower and Strongly Convex Functions on Normed Spaces

Sever S Dragomir, Kazimierz Nikodem

Type: Article

Publication Date: 2018-06-21

Citations: 13

DOI: https://doi.org/10.1007/s41980-018-0095-9

Abstract

In this paper, we obtain some Jensen's and Hermite–Hadamard's type inequalities for lower, upper, and strongly convex functions defined on convex subsets in normed linear spaces. The case of inner product space is of interest since in these case the concepts of lower convexity and strong convexity coincides. Applications for univariate functions of real variable and the connections with earlier Hermite–Hadamard's type inequalities are also provided.

Locations

Bulletin of the Iranian Mathematical Society - View - PDF

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