A method to refine the discrete Jensen's inequality for convex and mid-convex functions

作者：Horvath Laszlo^*

来源：Mathematical and Computer Modelling, 2011, 54(9-10): 2451-2459.

DOI：10.1016/j.mcm.2011.05.060

• Convex
• Mid-convex
• Discrete Jensen's inequalities

A general method is developed to refine the discrete Jensen's inequality in the convex and mid-convex cases. A number of refinements of the discrete Jensen's inequality can be obtained by using the method. The results generalize well known inequalities and give also a new treatment of them. The results are applied to some special situations.

• 出版日期2011-11