József Sándor and Krassimir T. Atanassov

Notes on Number Theory and Discrete Mathematics

Print ISSN 1310–5132, Online ISSN 2367–8275

Volume 26, 2020, Number 2, Pages 34—46

DOI: 10.7546/nntdm.2020.26.2.34-46

**Download full paper: PDF, 214 Kb**

## Details

### Authors and affiliations

József Sándor

*Babeş-Bolyai University
Str. Kogălniceanu nr. 1, 400084 Cluj-Napoca, Romania
*

Krassimir T. Atanassov

*Department of Bioinformatics and Mathematical Modelling, **IBPhBME – Bulgarian Academy of Sciences
Acad. G. Bonchev Str. Bl. 105, Sofia-1113, Bulgaria
and
Intelligent Systems Laboratory, Prof. Asen Zlatarov University, Bourgas-8010, Bulgaria*

### Abstract

Restrictive factor and extension factor are two arithmetic functions, introduced by the authors. In the paper, some of their extensions are introduced and some of the basic properties of the newly defined functions are studied.

### Keywords

- Arithmetic function
- Extension factor
- Restrictive factor

### 2010 Mathematics Subject Classification

- 11A25

### References

- Atanassov, K. (2002). Restrictive factor: Definition, properties and problems. Notes on Number Theory and Discrete Mathematics, 8 (4), 117–119.
- Atanassov, K. & Sándor J. (2019). Extension factor: Definition, properties and problems. Part 1. Notes on Number Theory and Discrete Mathematics, 25 (3), 36–43.
- Cîırtoaje, V. (2005). Two generalizations of Popoviciu’s inequality. Crux Mathematicorum, 31 (5), 313–318.
- Hardy, G. H., Littlewood J. E., & Pólya, G. (1952). Inequalities (2nd Ed.), Cambridge University Press.
- Sándor, J., & Atanassov, K. (2019). Inequalities between the arithmetic functions
*φ*,*ψ*and*σ*. Part 2. Notes on Number Theory and Discrete Mathematics, 25 (2), 30–35. - Sándor, J., Mitrinović, D. & Crstici, B. (2005). Handbook of Number Theory, Vol. I, Springer.

## Related papers

## Cite this paper

Sándor, J., & Atanassov, K. T. (2020). Restrictive factor and extension factor. Notes on Number Theory and Discrete Mathematics, 26 (2), 34-46, doi: 10.7546/nntdm.2020.26.2.34-46.