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New Properties of Some Mean Values

✍ Scribed by Gheorghe Toader; Themistocles M. Rassias

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
64 KB
Volume
232
Category
Article
ISSN
0022-247X

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πŸ“œ SIMILAR VOLUMES

New Characterizations of Some Mean-Value
New Characterizations of Some Mean-Values
✍ Hiroshi Haruki; Themistocles M. Rassias πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 152 KB

The purpose of this paper is to give new characterizations of some mean-values of two positive real numbers. The arithmetic, geometric, and harmonic means of two positive real numbers are the fundamentals of this paper.

Some New Inequalities Involving Elementa
Some New Inequalities Involving Elementary Mean Values
✍ A.McD. Mercer πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 49 KB

A formula is derived from which one can obtain a family of two-sided inequali-Ž n r . 1r r ties involving the elementary mean values Ý w x . In particular, one member of this family provides a new refinement of the arithmetic mean-geometric mean inequality.

Functional Equalities and Some Mean Valu
Functional Equalities and Some Mean Values
✍ Shoshana Abramovich; Josip PecΜ†ariΔ‡ πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 60 KB
Some Mean Values Related to the Quasi-Ar
Some Mean Values Related to the Quasi-Arithmetic Mean
✍ Jeong Sheok Ume; Young-Ho Kim πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 77 KB

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 Arithmet
Some Mean Values Related to the Arithmetic–Geometric Mean
✍ Gh. Toader πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 132 KB

Generally, a mean value is defined as a function M: ‫ޒ‬ q = ‫ޒ‬ q Βͺ ‫ޒ‬ q which satisfies the following postulate