MMN-5256
Some generalizations of Mercer inequality and its operator extensions
Mohsen Kian; Zainab Peymani;Abstract
We study the Mercer inequality and its operator extension for superquadratic functions. In particular, we give a more general form of the Mercer inequality by replacing some constants by positive operators. As some consequences, our results produce a Jensen operator inequality for superquadratic functions. Moreover, we present some Mercer inequalities of Hermite--Hadamard's type.
Vol. 27 (2026), No. 1, pp. 261-273