February 2023 POST-QUANTUM HERMITE–JENSEN–MERCER INEQUALITIES
Martin Bohner, Hüseyin Budak, Hasan Kara
Rocky Mountain J. Math. 53(1): 17-26 (February 2023). DOI: 10.1216/rmj.2023.53.17

Abstract

The Jensen–Mercer inequality, which is well known in the literature, has an important place in mathematics and related disciplines. In this work, we obtain the Hermite–Jensen–Mercer inequality for post-quantum integrals by utilizing Jensen–Mercer inequalities. Then we investigate the connections between our results and those in earlier works. Moreover, we give some examples to illustrate our main results. This is the first paper about Hermite–Jensen–Mercer inequalities for post-quantum integrals.

Citation

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Martin Bohner. Hüseyin Budak. Hasan Kara. "POST-QUANTUM HERMITE–JENSEN–MERCER INEQUALITIES." Rocky Mountain J. Math. 53 (1) 17 - 26, February 2023. https://doi.org/10.1216/rmj.2023.53.17

Information

Received: 19 March 2022; Accepted: 3 May 2022; Published: February 2023
First available in Project Euclid: 9 May 2023

MathSciNet: MR4585977
zbMATH: 07690296
Digital Object Identifier: 10.1216/rmj.2023.53.17

Subjects:
Primary: 26D10 , 26D15
Secondary: 26D07

Keywords: (p,q)-integrals , Hermite–Hadamard inequalities , Jensen–Mercer inequalities , post-quantum calculus , quantum calculus

Rights: Copyright © 2023 Rocky Mountain Mathematics Consortium

Vol.53 • No. 1 • February 2023
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