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
From page
307
To page
325
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
Record number
2754342
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