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JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 2013 Volume 93, Issue 3, Pages 401–406 (Mi mzm8905)

This article is cited in 25 papers

A Refinement of the Becker–Stark Inequalities

Ling Zhu

Zhejiang Gongshang University

Abstract: In this paper, a refinement of the Becker–Stark inequalities is established and a simple proof of this new inequality is given.

Keywords: Bernoulli numbers, Riemann's zeta function, power series expansion, upper and lower bounds, Becker–Stark inequalities.

UDC: 517

Received: 20.05.2009
Revised: 03.05.2011

DOI: 10.4213/mzm8905


 English version:
Mathematical Notes, 2013, 93:3, 421–425

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