TITLE:
Schur Convexity and the Dual Simpson’s Formula
AUTHORS:
Yaowen Li
KEYWORDS:
Schur Convexity, 4-Convex Function, Dual Simpson’s Formula, Bullen-Simpson’s Formula
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.4 No.4,
April
13,
2016
ABSTRACT:
In this paper, we show that some functions
related to the dual Simpson’s formula and Bullen- Simpson’s formula are
Schur-convex provided that f is four-convex. These results should be compared
to that of Simpson’s formula in Applied Math. Lett. (24) (2011), 1565-1568.