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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## 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
*

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

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

## Related papers

- Nagaraja, K. M., & Dhanya, P. (2020). Identities on generalized Fibonacci and Lucas numbers. Notes on Number Theory and Discrete Mathematics, 26 (3), 189-202, doi: 10.7546/nntdm.2020.26.3.189-202.

## Cite this paper

APALokesha, V., Nagaraja, K. M., Naveen Kumar B., Kumar, S. Solution to an open problem by Rooin, Notes on Number Theory and Discrete Mathematics, 17(4), 33-36.

ChicagoLokesha, V., K. M. Nagaraja, Naveen Kumar B., and Sandeep Kumar. “Solution to an Open Problem by Rooin.” Notes on Number Theory and Discrete Mathematics 17, no. 4 (2011): 33-36.

MLALokesha, V., K. M. Nagaraja, Naveen Kumar B., and Sandeep Kumar. “Solution to an Open Problem by Rooin.” Notes on Number Theory and Discrete Mathematics 17.4 (2011): 33-36. Print.