| Title:
|
Accentuate the negative (English) |
| Author:
|
Bullen, P. S. |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
134 |
| Issue:
|
4 |
| Year:
|
2009 |
| Pages:
|
427-446 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
A survey of mean inequalities with real weights is given. (English) |
| Keyword:
|
convex functions |
| Keyword:
|
Jensen inequality |
| Keyword:
|
Jensen-Steffensen inequality |
| Keyword:
|
real weights |
| Keyword:
|
reverse inequality |
| MSC:
|
26D15 |
| MSC:
|
26E60 |
| idZBL:
|
Zbl 1212.26041 |
| idMR:
|
MR2597237 |
| DOI:
|
10.21136/MB.2009.140674 |
| . |
| Date available:
|
2010-07-20T18:15:33Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/140674 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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[8] Hardy, G. H., Littlewood, E. J., Pólya, G.: Inequalities.Cambridge University Press, Cambridge (1934). |
| Reference:
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| Reference:
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[10] Marshall, Albert W., Olkin, Ingram: Inequalities: Theory of Majorization and Its Applications.Academic Press, New York (1979). Zbl 0437.26007, MR 0552278 |
| Reference:
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[11] Matković, Anita, Pečarić, Josip: A variant of Jensen's inequality for convex functions of several variables.J. Math. Ineq. 1 (2007), 45-51. Zbl 1147.26012, MR 2347704, 10.7153/jmi-01-06 |
| Reference:
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[12] Mitrinović, D. S., Pečarić, E. J., Fink, M. A.: Classical and New Inequalities in Analysis.Reidel, Dordrecht (1993). |
| Reference:
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[13] Nanjundiah, T. S.: Sharpening some classical inequalities.Math. Student 20 (1952), 24-25. |
| Reference:
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[14] Pečari'c, J. E.: Inverse of Jensen-Steffensen inequality.Glasnik Mat. 16 (1981), 229-233. MR 0653052 |
| Reference:
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[15] Pečari'c, Josip E.: A new proof of the Jensen-Steffensen inequality.Mathematica Rév. Anal. Num. Théorie Appr. 23 (1981), 73-77. MR 0649387 |
| Reference:
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[16] Pečari'c, J. E.: Inverse of Jensen-Steffensen inequality.(II), Glasnik Mat. 19 (1984), 235-238. MR 0790010 |
| Reference:
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[17] Pečari'c, Josip E.: A simple proof of the Jensen-Steffensen inequality.Amer. Math. Monthly 91 (1984), 195-196. MR 0734933, 10.2307/2322359 |
| Reference:
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[18] Pečari'c, Josip E.: Notes on Jensen's inequality.General Inequalities 6 (Oberwolfach, 1990) 449-454 Internat. Ser. Numer. Math., 103, Birkhäuser, Basel (1992). MR 1213027 |
| Reference:
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| Reference:
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| . |
