In this article, we study new mean values and their properties related to the quasi-arithmetic mean and their properties in the spirit of H. Haruki and Th. M. Rassias.
Some Mean Values Related to the Arithmetic–Geometric Mean
✍ Scribed by Gh. Toader
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 132 KB
- Volume
- 218
- Category
- Article
- ISSN
- 0022-247X
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✦ Synopsis
Generally, a mean value is defined as a function M: ޒ q = ޒ q ª ޒ q which satisfies the following postulate
📜 SIMILAR VOLUMES
In recent years certain arithmetic geometric mean and related inequalities for operators and unitarily invariant norms have been obtained by many authors based on majorization technique and so on. We first point out that they are direct consequences of integral expressions of relevant operators. Fur
## I. Arithmetic and Geometric Means Several important inequalities involving arithmetic and geometric means, may be found in the literature. The well known POPOVICIU'S inequality ([I], [3]) reads ## (anlgn)n z(an-llgn-l)n-l When dealing with a question on LORENTZ spaces, we proved a stronger r