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Inequalities for the Hurwitz zeta function

Published online by Cambridge University Press:  11 July 2007

Horst Alzer
Horst Alzer
Affiliation:
Morsbacher Str. 10, 51545 Waldbröl, Germany
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Abstract

Let be the Hurwitz zeta function. Furthermore, let p > 1 and α ≠ 0 be real numbers and n ≥ 2 be an integer. We determine the best possible constants a(p, α, n), A(p, α, n), b(p, n) and B(p, n) such that the inequalities and hold for all positive real numbers x1,…,xn.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 130 , Issue 6 , December 2000 , pp. 1227 - 1236
Copyright
Copyright © Royal Society of Edinburgh 2000

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