New results associated with Hermite-Hadamard inequalities for superquadratic functions are given. A set of Cauchy's type means is derived from these Hermite-Hadamard-type inequalities, and its log-convexity and monotonicity are proved.
Bibliographical noteFunding Information:
This research was partially funded by Higher Education Commission, Pakistan. The research of the third author was supported by the Croatian Ministry of Science, Education and Sports under the Research grant no. 117-1170889-0888.
ASJC Scopus subject areas
- Discrete Mathematics and Combinatorics
- Applied Mathematics