On the h-Jensen's operator inequality

Subject Areas : Functional analysis

S. S. Hashemi Karouei ¹ , M. S. Asgari ² , M. Shah Hosseini ³ , N. Ghafoori Adl ⁴

1 - Department of Mathematics, Faculty of Science, Central Tehran Branch, Islamic Azad University, Tehran, Iran
2 - Department of Mathematics, Faculty of Science, Central Tehran Branch, Islamic Azad University, Tehran, Iran
3 - Department of Mathematics, Shahr-e-Qods Branch, Islamic Azad University, Tehran, Iran
4 - Department of Mathematics, Faculty of Science, Central Tehran Branch, Islamic Azad University, Tehran, Iran

Received: 2022-02-16 Accepted : 2022-04-14 Published : 2022-04-16

Keywords: h-Convex function, h-concave function, h-Jensen's operator inequality,

Abstract :

‎In this paper‎, ‎we prove Jensen's operator inequality for an h-convex function and we point out the results for classes of continuous‎ ‎fields of operators‎. ‎Also‎, ‎some generalizations of Jensen's operator inequality and some properties of the h-convex function are given‎.

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