ON ZETA AND DIRICHLET BETA FUNCTION FAMILIES AS GENERATORS OF GENERALIZED MATHIEU SERIES, PROVIDING APPROXIMATION AND BOUNDS

DOI10.22190/FUMI210519018COpenAlexW4312704532MaRDI QIDQ5868301

Pietro Cerone

Publication date: 20 September 2022

Published in: Facta Universitatis, Series: Mathematics and Informatics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.22190/fumi210519018c

zbMATH Keywords

Cebysev functionalcompanions and relationsgeneralised Mathieu series familyHardy-type upper boundsidentities and boundsZeta and Dirichlet Beta functions

Mathematics Subject Classification ID

Other functions defined by series and integrals (33E20) Inequalities for sums, series and integrals (26D15) Zeta and (L)-functions: analytic theory (11Mxx)

Cites Work

• Remark on a double-inequality for the Riemann zeta function
• The evaluation of character Euler double sums
• On Mathieu's inequality
• Alternating Mathieu Series, Hilbert–Eisenstein Series and Their Generalized Omega Functions
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