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arXiv · 2403.17557

Some Generalizations of Mercer inequality and its operator extensions

Mohsen Kian·Zainab Peymani Mazraj
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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.

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Mohsen Kian, Zainab Peymani Mazraj. 2024-03-26. Some Generalizations of Mercer inequality and its operator extensions. https://arxiv.org/abs/2403.17557

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