Some generalizations of Aczél, Bellman's inequalities and related power sums
The School of Science, Zhejiang University of Science and Technology, Hangzhou 310023, China
Journal of Inequalities and Applications 2012, 2012:130 doi:10.1186/1029-242X-2012-130Published: 8 June 2012
In this paper, we establish some functional generalizations and refinements of Aczél's inequality and of Bellman's inequality. We also establish several mean value theorems for the related power sums.
Mathematics Subject Classification (2010): 26D15; 26D20; 26D99.