Article
2023
·
8 citations
On new general inequalities for <i>s</i>-convex functions and their applications
Abstract
In this work, we established some new general integral inequalities of Hermite-Hadamard type for s-convex functions. To obtain these inequalities, we used the Holder inequality, power-mean integral inequality, and some generalizations associated with these inequalities. Also we compared some inequalities (e.g., Theorem 6 and Theorem 8). Finally, we gave some applications for special means.
Keywords
s-Convex function
Hermite-Hadamard inequality
Holder inequality
Power-mean integral inequality
HADAMARD-TYPE INEQUALITIES
HERMITE-HADAMARD
DERIVATIVES
WoS Categories
Mathematics, Applied
Mathematics
Citation
- Journal
- JOURNAL OF INEQUALITIES AND APPLICATIONS
- Year
- 2023
- Volume
- 2023
- Issue
- 1
- ISSN
- 1029-242X
- DOI
- 10.1186/s13660-023-02914-4
- WoS UID
- WOS:000917172000001