Journal of Inequalities and Applications (Jun 2018)

Some majorization integral inequalities for functions defined on rectangles

  • Shanhe Wu,
  • Muhammad Adil Khan,
  • Abdul Basir,
  • Reza Saadati

DOI
https://doi.org/10.1186/s13660-018-1739-2
Journal volume & issue
Vol. 2018, no. 1
pp. 1 – 13

Abstract

Read online

Abstract In this paper, we first prove an integral majorization theorem related to integral inequalities for functions defined on rectangles. We then apply the result to establish some new integral inequalities for functions defined on rectangles. The results obtained are generalizations of weighted Favard’s inequality, which also provide a generalization of the results given by Maligranda et al. (J. Math. Anal. Appl. 190:248–262, 1995) in an earlier paper.

Keywords