| Title:
|
Two inequalities for series and sums (English) |
| Author:
|
Alzer, Horst |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
120 |
| Issue:
|
2 |
| Year:
|
1995 |
| Pages:
|
197-201 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper we refine an inequality for infinite series due to Astala, Gehring and Hayman, and sharpen and extend a Holder-type inequality due to Daykin and Eliezer. (English) |
| Keyword:
|
inequalities |
| Keyword:
|
sums |
| Keyword:
|
series |
| Keyword:
|
inequalities for series and sums |
| Keyword:
|
Holder's inequality |
| MSC:
|
26D15 |
| idZBL:
|
Zbl 0839.26015 |
| idMR:
|
MR1357601 |
| DOI:
|
10.21136/MB.1995.126219 |
| . |
| Date available:
|
2009-09-24T21:10:18Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/126219 |
| . |
| Reference:
|
[1] K. Astala, F. W. Gehring: Quasiconformal analogues of theorems of Koebe and Hardy-Littlewood.Michigan Math. J. 32 (1985), 99-107. Zbl 0574.30027, MR 0777305, 10.1307/mmj/1029003136 |
| Reference:
|
[2] G. Bennett: Some elementary inequalities, II.Quart. J. Math. Oxford 39 (1988), no. 2, 385-400. Zbl 0687.26007, MR 0975904, 10.1093/qmath/39.4.385 |
| Reference:
|
[3] D. E. Daykin, C. J. Eliezer: Generalization of Holder's and Minkowski's inequalities.Proc. Camb. Phil. Soc. 64 (1968), 1023-1027. MR 0239027, 10.1017/S0305004100043747 |
| Reference:
|
[4] W. K. Hayman: A lemma in the theory of series due to Astala and Gehring.Analysis 6 (1986), 111-114. Zbl 0587.30026, MR 0832739 |
| Reference:
|
[5] D. S. Mitrinović: Analytic Inequalities.Springer, New York, 1970. MR 0274686 |
| Reference:
|
[6] D. S. Mitrinović J. E. Pečarić, A. M. Fink: Classical and New Inequalities in Analysis.Kluwer, Dordrecht, 1993. MR 1220224 |
| . |
