On refinements of certain inequalities for means

Sándor, József Sándor, József

Archivum Mathematicum (1995)

• Volume: 031, Issue: 4, page 279-282
• ISSN: 0044-8753

Access Full Article

top

 Access to full text

 Full (PDF)

Abstract

top

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.

How to cite

top

• MLA
• BibTeX
• RIS

Sándor, József, Sándor, József. "On refinements of certain inequalities for means." Archivum Mathematicum 031.4 (1995): 279-282. <http://eudml.org/doc/247686>.

@article{Sándor1995,
abstract = {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.},
author = {Sándor, József, Sándor, József},
journal = {Archivum Mathematicum},
keywords = {identric mean; logarithmic mean; arithmetic-geometric; mean of Gauss; inequalities; logarithmic mean; identric mean; arithmetic mean; inequalities between means; geometric mean},
language = {eng},
number = {4},
pages = {279-282},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {On refinements of certain inequalities for means},
url = {http://eudml.org/doc/247686},
volume = {031},
year = {1995},
}

TY - JOUR
AU - Sándor, József, Sándor, József
TI - On refinements of certain inequalities for means
JO - Archivum Mathematicum
PY - 1995
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 031
IS - 4
SP - 279
EP - 282
AB - 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.
LA - eng
KW - identric mean; logarithmic mean; arithmetic-geometric; mean of Gauss; inequalities; logarithmic mean; identric mean; arithmetic mean; inequalities between means; geometric mean
UR - http://eudml.org/doc/247686
ER -

References

top

1. Ungleichungen für Mittelwerte, Arch. Math.(Basel) 47 (1986), 422-426. (1986) Zbl0585.26014MR0870279
2. Two inequalities for means, C. R. Math. Rep. Acad. Sci. Canada 9 (1987), 11-16. (1987) Zbl0615.26015MR0873401
3. The logarithmic mean, Amer. Math. Monthly 79 (1972), 615- 618. (1972) Zbl0241.33001MR0302842
4. Extended mean values II, J. Math. Anal. Appl. 92 (1983), 207-223. (1983) MR0694172
5. Inequalities between arithmetic and logarithmic means, Univ. Beograd Publ. Elektr. Fak. Ser. Mat. Fiz 680 (1980), 15-18. (1980) MR0623217
6. On the identric and logarithmic means, Aequationes Math. 40 (1990), 261-270. (1990) MR1069798
7. A note on some inequalities for means, Arch. Math. (Basel) 56 (1991), 471-473. (1991) MR1100572
8. On certain identities for means, Studia Univ. Babes-Bolyai (Cluj) 38 (1993), 7-14. (1993) MR1434724
9. Comment to Problem 1365, Math. Mag. 65 (1992), 356. (1992) 
10. The power and generalized logarithmic means, Amer. Math. Monthly 87 (1980), 545-548. (1980) Zbl0455.26008MR0600913
11. Inequalities for means, J. Math. Anal. Appl. 183 (1994), 155-166. (1994) MR1273438

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Language to use for this widget. български (bg) čeština (cs) Deutsch (de) ελληνικά (el) English (en) español (es) français (fr) italiano (it) lietuvių kalba (lt) polski (pl) português (pt) română (ro) русский (ru) slovenčina (sk)

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Number of notes per page 5 10 15 20

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.

OK