Additive inequalities for weighted harmonic and arithmetic operator means

• Autorzy: Sever Dragomir
• Języki publikacji: EN

Abstrakty

EN

In this paper we establish some new upper and lower bounds for the difference between the weighted arithmetic and harmonic operator means under various assumptions for the positive invertible operators A, B. Some applications when A, B are bounded above and below by positive constants are given as well.

Słowa kluczowe

EN

Young’s inequality; convex functions; arithmetic meanharmonic mean inequality; operator means; operator inequalities

• Wydawca: Wydawnictwo Uniwersytetu Marii Curie-Skłodowskiej
• Czasopismo: Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
• Rocznik: 2019
• Tom: 73
• Numer: 1

Daty

wydano

2019

online

2019-12-19

Twórcy

autor

Sever Dragomir

Bibliografia

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• Dragomir, S. S., Some inequalities for operator weighted geometric mean, Preprint RGMIA Res. Rep. Coll. 18 (2015), Art. 139. http://rgmia.org/papers/v18/v18a139.pdf
• Dragomir, S. S., Some reverses and a refinement of H¨older operator inequality, Preprint RGMIA Res. Rep. Coll. 18 (2015), Art. 147. http://rgmia.org/papers/v18/v18a147.pdf
• Dragomir, S. S., Some inequalities for weighted harmonic and arithmetic operator means, Fasc. Math. No. 61 (2018), 43–54.
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Identyfikatory

DOI

10.17951/a.2019.73.1.1-17