Document Type : Research Paper

Authors

• Madjid Eshaghi ¹
• S. S. Dragomir ²
• Mohsen Rostamian Delavar ¹

¹ Department of Mathematics, Semnan University, P.O.Box. 35195-363, Semnan, Iran.

² Mathematics, College of Engineering & Science Victoria University, PO Box 14428, Melbourne City, MC 8001, Australia

Abstract

Using the notion of $\eta$-convex functions as a generalization of convex functions, we estimate the difference between the middle and right terms in Hermite-Hadamard-Fejer inequality for differentiable mappings. Also as an application we give an error estimate for midpoint formula.

Keywords

• $\eta$-convex function
• Hermite-Hadamard-Fejer inequality