Schur convexity of Gnan mean for two variables

V. Lokesha, K. M. Nagaraja, Naveen Kumar B. and Y.-D. Wu
Notes on Number Theory and Discrete Mathematics, ISSN 1310–5132
Volume 17, 2011, Number 4, Pages 37–41
Full paper (PDF, 185 Kb)

Details

Authors and affiliations

V. Lokesha
Department of Mathematics, Acharya institute of Technology
Bangalore-90, India

K. M. Nagaraja
Department of Mathematics, J.S.S.I. Technology
Bangalore, India

Naveen Kumar B.
Department Of Mathematics, R.N.S. Institute of Technology
Bangalore-61, India

Y.-D. Wu
Xinchang High School
Xinchang City, Zhejiang Province 312500, P. R. China

Abstract

In this paper, the convexity and Schur convexity of the Gnan mean and its dual form in two variables are discussed.

Keywords

• Mean
• Monotonicity
• Inequality
• Convexity

AMS Classification

• 26D15

References

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