19 research outputs found
Accentuate the negative
A survey of mean inequalities with real weights is given.Comment: 16 pages 3 figure
JensenāSteffensen inequality for strongly convex functions
Abstract The Jensen inequality for convex functions holds under the assumption that all of the included weights are nonnegative. If we allow some of the weights to be negative, such an inequality is called the JensenāSteffensen inequality for convex functions. In this paper we prove the JensenāSteffensen inequality for strongly convex functions
Jensen-GrĆ¼ss inequality and its applications for the Zipf-Mandelbrot law
In this paper, we prove several Jensen-GrĆ¼ss type inequalities under various conditions. Some applications in information theory are also given. Ā© 2020 John Wiley & Sons, Ltd