WEIGHTED HERMITE-HADAMARD AND SIMPSON TYPE INEQUALITIES FOR DOUBLE INTEGRALS

Authors

  • Hüseyin BUDAK
  • Fatma Ertuğral
  • Mehmet Zeki SARIKAYA

DOI:

https://doi.org/10.30495/jme.v15i0.1324

Abstract

In this paper, we first obtain two weighted identities for twice partially differentiablemappings. Moreover, utilizing these equalities, we establish the weighted Herrmite-Hadamard typeinequalities and weighted Simpson type inequalities for co-ordinated convex functions in a rectanglefrom the plane R2, respectivelly. The results given in this paper provide generalizations of someresult established in earlier works.

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Published

2020-01-09

Issue

Section

Vol. 15, No. 1, (2021)