Complete monotonicity and zeros of sums of squared Baskakov functions

DOI10.1016/j.amc.2015.01.062zbMath1338.41017arXiv1411.7945OpenAlexW1969055583MaRDI QIDQ300096

Thorsten Neuschel, Wolfgang Gawronski, Ulrich Abel

Publication date: 23 June 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.7945

zbMATH Keywords

convexitydistribution of zeroscomplete monotonicityBaskakov operatorChebyshev-Grüss-type inequalitycomplete elliptic integral of the first kind

Mathematics Subject Classification ID

Approximation by positive operators (41A36)

Related Items (8)

A Voronovskaya-type theorem in simultaneous approximation ⋮ Complete monotonicity of some entropies ⋮ An answer to an open problem on the multivariate Bernstein polynomials on a simplex ⋮ Entropies and Heun functions associated with positive linear operators ⋮ Convexity properties of some entropies ⋮ Convexity properties of some entropies. II ⋮ The Product of Two Functions Using Positive Linear Operators ⋮ Voronovskaja type theorems for positive linear operators related to squared Bernstein polynomials

Uses Software

• DLMF

Cites Work

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• Asymptotic distributions of the zeros of a family of hypergeometric polynomials
• Chebyshev-Gr\"{u}ss-type inequalities via discrete oscillations
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