| Title:
|
On refinements of certain inequalities for means (English) |
| Author:
|
Sándor, J. |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
31 |
| Issue:
|
4 |
| Year:
|
1995 |
| Pages:
|
279-282 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper we obtain certain refinements (and new proofs) for inequalities involving means, results attributed to Carlson; Leach and Sholander; Alzer; Sndor; and Vamanamurthy and Vuorinen. (English) |
| Keyword:
|
identric mean |
| Keyword:
|
logarithmic mean |
| Keyword:
|
arithmetic-geometric |
| Keyword:
|
mean of Gauss |
| Keyword:
|
inequalities |
| MSC:
|
26D15 |
| MSC:
|
26D20 |
| idZBL:
|
Zbl 0847.26015 |
| idMR:
|
MR1390586 |
| . |
| Date available:
|
2008-06-06T21:29:23Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107548 |
| . |
| Reference:
|
[1] Alzer, H.: Ungleichungen für Mittelwerte.Arch. Math.(Basel) 47 (1986), 422-426. Zbl 0585.26014, MR 0870279 |
| Reference:
|
[2] Alzer, H.: Two inequalities for means.C. R. Math. Rep. Acad. Sci. Canada 9 (1987), 11-16. Zbl 0615.26015, MR 0873401 |
| Reference:
|
[3] Carlson, B. C.: The logarithmic mean.Amer. Math. Monthly 79 (1972), 615- 618. Zbl 0241.33001, MR 0302842 |
| Reference:
|
[4] Leach, E. B., Sholander, M. C.: Extended mean values II.J. Math. Anal. Appl. 92 (1983), 207-223. MR 0694172 |
| Reference:
|
[5] Pittinger, A. O.: Inequalities between arithmetic and logarithmic means.Univ. Beograd Publ. Elektr. Fak. Ser. Mat. Fiz 680 (1980), 15-18. MR 0623217 |
| Reference:
|
[6] S ndor, J.: On the identric and logarithmic means.Aequationes Math. 40 (1990), 261-270. MR 1069798 |
| Reference:
|
[7] S ndor, J.: A note on some inequalities for means.Arch. Math. (Basel) 56 (1991), 471-473. MR 1100572 |
| Reference:
|
[8] S ndor, J.: On certain identities for means.Studia Univ. Babes-Bolyai (Cluj) 38 (1993), 7-14. MR 1434724 |
| Reference:
|
[9] Seiffert, H.-J.: Comment to Problem 1365.Math. Mag. 65 (1992), 356. |
| Reference:
|
[10] Stolarsky, K. B.: The power and generalized logarithmic means.Amer. Math. Monthly 87 (1980), 545-548. Zbl 0455.26008, MR 0600913 |
| Reference:
|
[11] Vamanamurthy, M. K., Vuorinen, M.: Inequalities for means.J. Math. Anal. Appl. 183 (1994), 155-166. MR 1273438 |
| . |
