Iterative Refinements of the Hermite-Hadamard Inequality, Applications to the Standard Means

作者:Dragomir Sever S; Raissouli Mustapha*
来源:Journal of Inequalities and Applications, 2010, 107950.
DOI:10.1155/2010/107950

摘要

Two adjacent recursive processes converging to the mean value of a real-valued convex function are given. Refinements of the Hermite-Hadamard inequality are obtained. Some applications to the special means are discussed. A brief extension for convex mappings with variables in a linear space is also provided.

  • 出版日期2010