Two inequalities for series and sums
Mathematica Bohemica (1995)
- Volume: 120, Issue: 2, page 197-201
- ISSN: 0862-7959
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topAlzer, Horst. "Two inequalities for series and sums." Mathematica Bohemica 120.2 (1995): 197-201. <http://eudml.org/doc/247785>.
@article{Alzer1995,
abstract = {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.},
author = {Alzer, Horst},
journal = {Mathematica Bohemica},
keywords = {inequalities; sums; series; inequalities for series and sums; Holder's inequality; inequalities; sums; series},
language = {eng},
number = {2},
pages = {197-201},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Two inequalities for series and sums},
url = {http://eudml.org/doc/247785},
volume = {120},
year = {1995},
}
TY - JOUR
AU - Alzer, Horst
TI - Two inequalities for series and sums
JO - Mathematica Bohemica
PY - 1995
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 120
IS - 2
SP - 197
EP - 201
AB - 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.
LA - eng
KW - inequalities; sums; series; inequalities for series and sums; Holder's inequality; inequalities; sums; series
UR - http://eudml.org/doc/247785
ER -
References
top- K. Astala, F. W. Gehring, 10.1307/mmj/1029003136, Michigan Math. J. 32 (1985), 99-107. (1985) Zbl0574.30027MR0777305DOI10.1307/mmj/1029003136
- G. Bennett, 10.1093/qmath/39.4.385, Quart. J. Math. Oxford 39 (1988), no. 2, 385-400. (1988) Zbl0687.26007MR0975904DOI10.1093/qmath/39.4.385
- D. E. Daykin, C. J. Eliezer, 10.1017/S0305004100043747, Proc. Camb. Phil. Soc. 64 (1968), 1023-1027. (1968) MR0239027DOI10.1017/S0305004100043747
- W. K. Hayman, A lemma in the theory of series due to Astala and Gehring, Analysis 6 (1986), 111-114. (1986) Zbl0587.30026MR0832739
- D. S. Mitrinović, Analytic Inequalities, Springer, New York, 1970. (1970) MR0274686
- D. S. Mitrinović J. E. Pečarić, A. M. Fink, Classical and New Inequalities in Analysis, Kluwer, Dordrecht, 1993. (1993) MR1220224
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