Inequalities for the Hurwitz zeta function
Published online by Cambridge University Press: 11 July 2007
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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