Interpolating the Arithmetic-Geometric Mean Inequality and Its Operator Version

Mohammad Bagher Ghaemi (), Nahid Gharakhanlu, Themistocles M. Rassias and Reza Saadati
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Mohammad Bagher Ghaemi: Iran University of Science and Technology
Nahid Gharakhanlu: Iran University of Science and Technology
Themistocles M. Rassias: National Technical University of Athens
Reza Saadati: Iran University of Science and Technology

Chapter Chapter 2 in Advances in Matrix Inequalities, 2021, pp 19-59 from Springer

Abstract: Abstract In this chapter, we gather refinements of the classical Young inequality for positive real numbers, and we use these refinements to establish improved Young and Heinz inequalities for operators. According to the definitions of operator entropies, relative operator entropies, and Tsallis operator entropy, the readers can employ the techniques in this chapter to get new upper and lower bounds of the operator entropies.

Date: 2021
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DOI: 10.1007/978-3-030-76047-2_2

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