On the h-Jensen's operator inequality

الموضوعات :

S. S. Hashemi Karouei ¹ (Department of Mathematics, Faculty of Science, Central Tehran Branch, Islamic Azad University, Tehran, Iran)
M. S. Asgari ² (Department of Mathematics, Faculty of Science, Central Tehran Branch, Islamic Azad University, Tehran, Iran)
M. Shah Hosseini ³ (Department of Mathematics, Shahr-e-Qods Branch, Islamic Azad University, Tehran, Iran)
N. Ghafoori Adl ⁴ (Department of Mathematics, Faculty of Science, Central Tehran Branch, Islamic Azad University, Tehran, Iran)

تاريخ الإرسال : 15 الأربعاء , رجب, 1443 تاريخ التأكيد : 13 الخميس , رمضان, 1443 تاريخ الإصدار : 15 السبت , رمضان, 1443

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

ملخص المقالة :

‎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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