Generalized Niezgoda's Inequality with Refinements and Applications

Motivated by the results of Niezgoda, corresponding to the generalization of Mercer's inequality for positive weights, in this paper, we consider real weights, for which we establish related results. To be more specific, Niezgoda's results are derived under Jensen Steffensen conditions. In addition, we construct some functionals enabling us to refine Niezgoda's results. Lastly, we discuss some applications.

کلیدواژه ها:

Jensen-Mercer inequality ، Jensen-Steffensen inequality ، Majorization theorem ، Subdifferential