MATEMATIČKI VESNIK
МАТЕМАТИЧКИ ВЕСНИК



MATEMATIČKI VESNIK
INEQUALITIES FOR DOUBLE INTEGRALS OF SCHUR CONVEX FUNCTIONS ON SYMMETRIC AND CONVEX DOMAINS
S. S. Dragomir

Abstract

In this paper, by making use of Green's identity for double integrals, we establish some integral inequalities for Schur convex functions defined on domains $D\subset R^{2}$ that are symmetric, convex and have nonempty interiors. Examples for squares and disks are also provided.

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Keywords: Schur convex functions; double integral inequalities.

MSC: 26D15

Pages:  63--74     

Volume  73 ,  Issue  1 ,  2021