Solution to an open problem by Rooin

V. Lokesha, K. M. Nagaraja, Naveen Kumar B. and Sandeep Kumar
Notes on Number Theory and Discrete Mathematics, ISSN 1310-5132
Volume 17, 2011, Number 4, Pages 33—36
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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

Sandeep Kumar
Department of Mathematics, Acharya institute of Technology
Bangalore-90, India

Abstract

In this note, we obtained the solution to an open problem posed by J. Rooin, using Levinson’s Inequality.

Keywords

• Power mean
• Levinson’s Inequality
• Convexity

AMS Classification

• 26D15

References

1. Bullen, P. S. Handbook of Means and Their Inequalities, Kluwer Acad. Publ., Dordrecht, 2003.
2. Rooin, J. On Ky Fan’s Inequality and its Additive Analogues, pre print.