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.
Recommended Citation
M. Bohner et al., "POST-QUANTUM HERMITE-JENSEN-MERCER INEQUALITIES," Rocky Mountain Journal of Mathematics, vol. 53, no. 1, pp. 17 - 26, Project Euclid; Rocky Mountain Mathematics Consortium, Feb 2023.
The definitive version is available at https://doi.org/10.1216/rmj.2023.53.17
Department(s)
Mathematics and Statistics
Keywords and Phrases
(p,q)-integrals; Hermite-Hadamard inequalities; Jensen-Mercer inequalities; post-quantum calculus; quantum calculus
International Standard Serial Number (ISSN)
1945-3795; 0035-7596
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2023 Project Euclid; Rocky Mountain Mathematics Consortium, All rights reserved.
Publication Date
01 Feb 2023
