%0 Journal Article
%T Generalized Niezgoda's Inequality with Refinements and Applications
%J Sahand Communications in Mathematical Analysis
%I University of Maragheh
%Z 2322-5807
%A Rubab, Faiza
%A Khan, Asif R.
%A Naqvi, Anum Zehra
%A Haider, Ani
%D 2024
%\ 01/01/2024
%V 21
%N 1
%P 307-325
%! Generalized Niezgoda's Inequality with Refinements and Applications
%K Jensen-Mercer inequality
%K Jensen-Steffensen inequality
%K Majorization theorem
%K Subdifferential
%R 10.22130/scma.2022.557325.1142
%X 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.
%U https://scma.maragheh.ac.ir/article_708584_804516ce11cee6e780ed322a0c924441.pdf