On the h-Jensen's operator inequality
محورهای موضوعی : Functional analysisS. 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
کلید واژه: h-Convex function, h-concave function, h-Jensen's operator inequality,
چکیده مقاله :
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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