Some new integral inequalities for twice differentiable convex mappings

2010/05/04 by Mehmet Zeki Sarıkaya, Sarikaya, Mehmet Zeki, Hüseyin Yıldırım +1
Mathematics · #Mathematical Inequalities and Applications #Functional Equations Stability Results #Analytic and geometric function theory

paper · pdf · doi:10.48550/arxiv.1005.0453

Abstract

In this paper, we establish several new inequalities for some twice differantiable mappings that are connected with the celebrated Hermite-Hadamard integral inequality. Some applications for special means of real numbers are also provided.

Related

• New inequalities of Hermite-Hadamard type for functions whose second derivatives absolute values are convex and quasi-convex
• New Integral Inequalities of the type of Sinson's and Hermite-Hadamard's for the twice Differentiable Quasi-Geometrically convex mappings
• On the Integral inequalities for mappings whose second derivatives are convex and applications
• New Integral Inequalities through generalized convex functions
• Some Generalizations of Hermite-Hadamard type Integral Inequalities and\n their Applications