MMN-4243
On quantum Hermite-Jensen-Mercer inequalities
Hüseyin Budak; Hasan Kara;Abstract
A. M. Mercer prove a new version of well-known Jensen inequality which is
called Jensen-Mercer inequality [15]. 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.
Vol. 24 (2023), No. 3, pp. 1247-1257
DOI: 10.18514/MMN.2023.4243