Inequalities of Hermite-Hadamard type for stochastic process whose fourth derivatives absolute are quasi-convex, P-convex, s-convex and h-convex.

Abstract

Recently much attention has been given to the theory of convexity due to its great importance in other fields of pure and applied sciences. Another reason which makes theory of convexity more fascinating is its strong relationship with the theory of inequalities. In this paper, we obtain some estimates of the right-hand side inequality of Hermite-Hadamard type for stochastic process whose fourth derivatives in absolute values are quasi convex, P-convex, s-convex and h-convex.

Subject Classification:

• 60G05
• 60G07
• 60G99
• 60K99
• 60H99
• 26D15
• 26A51
• 60G99

Keywords:

• Stochastic process
• Quasi convex
• P-convex
• S-convex
• H-convex
• Hermite-Hadamard inequality