Geodesic
Two inequalities for series and sums
Mathematica Bohemica, Tome 120 (1995) no. 2, pp. 197-201

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MR Zbl
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.
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.
DOI : 10.21136/MB.1995.126219
Classification : 26D15
Keywords: inequalities; sums; series; inequalities for series and sums; Holder's inequality 
Alzer, Horst. Two inequalities for series and sums. Mathematica Bohemica, Tome 120 (1995) no. 2, pp. 197-201. doi: 10.21136/MB.1995.126219
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[1] K. Astala, F. W. Gehring: Quasiconformal analogues of theorems of Koebe and Hardy-Littlewood. Michigan Math. J. 32 (1985), 99-107. | DOI | MR | Zbl

[2] G. Bennett: Some elementary inequalities, II. Quart. J. Math. Oxford 39 (1988), no. 2, 385-400. | DOI | MR | Zbl

[3] D. E. Daykin, C. J. Eliezer: Generalization of Holder's and Minkowski's inequalities. Proc. Camb. Phil. Soc. 64 (1968), 1023-1027. | DOI | MR

[4] W. K. Hayman: A lemma in the theory of series due to Astala and Gehring. Analysis 6 (1986), 111-114. | MR | Zbl

[5] D. S. Mitrinović: Analytic Inequalities. Springer, New York, 1970. | MR

[6] D. S. Mitrinović J. E. Pečarić, A. M. Fink: Classical and New Inequalities in Analysis. Kluwer, Dordrecht, 1993. | MR

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