Title of article :
Generalized Niezgoda’s Inequality with Refinements and Applications
Author/Authors :
Rubab ، Faiza Department of Mathematics - University of Karachi , Khan ، Asif R. Department of Mathematics - University of Karachi , Naqvi ، Anum Z. Department of Basic Sciences - Muhammad Ali Jinnah University , Haider ، Ani Department of Mathematics - University of Karachi
Abstract :
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.
Keywords :
Jensen , Mercer inequality , Jensen , Steffensen inequality , Majorization theorem , Subdifferential
Journal title :
Sahand Communications in Mathematical Analysis
Journal title :
Sahand Communications in Mathematical Analysis
