On new general inequalities for s-convex functions and their applications

Abstract

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 Hölder 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
• Hölder inequality
• Power-mean integral inequality