Inequalities for generalized divisor functions

József Sándor
Notes on Number Theory and Discrete Mathematics
Print ISSN 1310–5132, Online ISSN 2367–8275
Volume 27, 2021, Number 2, Pages 41–48
DOI: 10.7546/nntdm.2021.27.2.41-48
Full paper (PDF, 218 Kb)

Details

Authors and affiliations

József Sándor
Department of Mathematics, Babes-Bolyai University
Str. Kogalniceanu 1, 400084 Cluj-Napoca, Romania

Abstract

We offer inequalities to as a function of the real variable : Monotonicity and convexity properties to this and related functions are proved, too. Extensions and improvements of known results are provided.

Keywords

• Arithmetic functions
• Inequalities for arithmetic functions,
• Monotonicity and convexity of real functions
• Inequalities for sums
• Series and integrals

2020 Mathematics Subject Classification

• 11A25
• 26D07
• 26D15
• 26A51

References

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