Upper bounds for analytic summand functions and related inequalities

DOI10.1515/MS-2021-0041zbMath1482.30014OpenAlexW3202511898MaRDI QIDQ2054761

M. H. Hooshmand, Soodeh Mehboodi

Publication date: 3 December 2021

Published in: Mathematica Slovaca (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ms-2021-0041

zbMATH Keywords

inequalitiessummabilityBernoulli polynomials series

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Convergence and divergence of series and sequences of functions (40A30) Polynomials and rational functions of one complex variable (30C10) Inequalities in the complex plane (30A10)

Cites Work

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• Analytic summability of real and complex functions
• New sharp bounds for the Bernoulli numbers and refinement of Becker-Stark inequalities
• Log-convex solutions to the functional equation \(f(x+1)=g(x)f(x):\Gamma\)-type functions
• Sharp bounds for the Bernoulli numbers
• Fractional sums and Euler-like identities
• Some inequalities arising from analytic summability of functions

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