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arxiv: 1705.02186 · v3 · pith:NJINKSSZnew · submitted 2017-05-05 · 🧮 math.FA

An extension of Jensen's operator inequality and its application to Young inequality

classification 🧮 math.FA
keywords inequalityjensenoperatoryoungapplicationcaseclassicalconsequence
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Jensen's operator inequality for convexifiable functions is obtained. This result contains classical Jensen's operator inequality as a particular case. As a consequence, a new refinement and a reverse of Young's inequality is given.

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