Dirichlet Beta Function via Generalized Mathieu Series Family

DOI10.1007/978-3-030-28950-8_31zbMath1447.33014OpenAlexW2991535785MaRDI QIDQ5120135

Pietro Cerone

Publication date: 9 September 2020

Published in: Frontiers in Functional Equations and Analytic Inequalities (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-28950-8_31

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Other functions defined by series and integrals (33E20) Inequalities for sums, series and integrals (26D15)

Uses Software

• DLMF

Cites Work

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• Über das Maximum des absoluten Betrages von \[ \frac 1{b-a}\int _a^bf(x)g(x)\,dx-\frac 1{(b-a)^2}\int _a^bf(x)\,dx\int _a^bg(x)\,dx. \ .]

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