关于量子Hermite-Jensen-Mercer不等式

IF 0.9 4区数学 Q2 MATHEMATICS Miskolc Mathematical Notes Pub Date : 2023-01-01 DOI:10.18514/mmn.2023.4243

Hüseyin Budak, Hasan Kara

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On quantum Hermite-Jensen-Mercer inequalities

. A. M. Mercer prove a new version of well-known Jensen inequality which is called Jensen-Mercer inequality [16]. By using Jensen-Mercer inequality, Kian and Moslehian establish a new variant of Hermite-Hadamard inequality which is called Hermite-Jensen-Mercer inequality [15]. In this paper, we extend the Hermite-Jensen-Mercer inequality for quantum integrals by utilizing Jensen-Mercer inequality. Then we investigate the connections between our results and those in earlier works. Moreover we give some examples to illustrate the main results in this paper. This is the ﬁrst paper focusing on Hermite-Jensen-Mercer inequalities for quantum integrals.

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来源期刊

Miskolc Mathematical Notes MATHEMATICS-

CiteScore

1.50

自引率

0.00%

发文量

期刊介绍： Miskolc Mathematical Notes, HU ISSN 1787-2405 (printed version), HU ISSN 1787-2413 (electronic version), is a peer-reviewed international mathematical journal aiming at the dissemination of results in many fields of pure and applied mathematics.