A convex treatment of numerical radius inequalities |
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Authors: | Heydarbeygi Zahra Sababheh Mohammad Moradi Hamid |
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Institution: | 1.Department of Mathematics, Payame Noor University, Nakhl St, Lashkarak Highway, Tehran, Iran ;2.Department of Basic Sciences, Princess Sumaya University for Technology, Amman, Jordan ; |
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Abstract: | We prove an inner product inequality for Hilbert space operators. This inequality will be utilized to present a general numerical radius inequality using convex functions. Applications of the new results include obtaining new forms that generalize and extend some well known results in the literature, with an application to the newly defined generalized numerical radius. We emphasize that the approach followed in this article is different from the approaches used in the literature to obtain such versions. |
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