On refinements of certain inequalities for means

Sándor, József Sándor, József

Archivum Mathematicum (1995)

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

Abstract

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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

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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

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  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

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