Schur Convexity and the Dual Simpson’s Formula - Journal of Applied Mathematics and Physics

JAMP > Vol.4 No.4, April 2016

Journal of Applied Mathematics and Physics

Volume 4, Issue 4 (April 2016)

ISSN Print: 2327-4352 ISSN Online: 2327-4379

Google-based Impact Factor: 0.70 Citations

Schur Convexity and the Dual Simpson’s Formula ()

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DOI: 10.4236/jamp.2016.44070 2,119 Downloads 3,164 Views Citations

Author(s)

Yaowen Li

Affiliation(s)

Department of Mathematics, Nanjing University, Nanjing, China.

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.

KEYWORDS

Schur Convexity, 4-Convex Function, Dual Simpson’s Formula, Bullen-Simpson’s Formula

Share and Cite:

Li, Y. (2016) Schur Convexity and the Dual Simpson’s Formula. Journal of Applied Mathematics and Physics, 4, 623-629. doi: 10.4236/jamp.2016.44070.

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