Some new inequalities for the q-gamma and related functions, II

József Sándor
Notes on Number Theory and Discrete Mathematics
Print ISSN 1310–5132, Online ISSN 2367–8275
Volume 32, 2026, Number 2, Pages 342–353
DOI: 10.7546/nntdm.2026.32.2.342-353
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Authors and affiliations

József Sándor

Department of Mathematics, Babeș-Bolyai University
Str. Kogălniceanu nr. 1, 400084 Cluj-Napoca, Romania

Abstract

As a continuation of [5], we offer new inequalities for Jackson’s -gamma function . For example, we obtain a -analogue of the famous Jordan inequality for for Related inequalities, and other relations, such as the limit relations for the -gamma constant are also pointed out.

Keywords

• -gamma function
• -digamma functions
• -sine function inequalities
• Special functions.

2020 Mathematics Subject Classification

• 33B15
• 26D15
• 33E05

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Manuscript history

• Received: 10 December 2025
• Revised: 1 June 2026
• Accepted: 4 June 2026
• Online First: 4 June 2026

Copyright information

Ⓒ 2026 by the Author.
This is an Open Access paper distributed under the terms and conditions of the Creative Commons Attribution 4.0 International License (CC BY 4.0).