Efficient computation of Favard constants and their connection to Euler polynomials and numbers

DOI10.33048/semi.2020.17.129zbMath1494.41002OpenAlexW3114381696MaRDI QIDQ2227018

Yanyan Li

Publication date: 9 February 2021

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.33048/semi.2020.17.129

zbMATH Keywords

recurrence formulasapproximation theoryEuler numbersEuler polynomialsFavard constants

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Interpolation in approximation theory (41A05) Best constants in approximation theory (41A44)

Related Items (1)

Estimates for solutions of bi-infinite systems of linear equations

Uses Software

• DLMF
• OEIS

Cites Work

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• Determination of Riesz bounds for the spline basis with the help of trigonometric polynomials
• Construction of polynomials of a special kind and examples of their application in the theory of power series and in the wavelet theory
• Cardinal interpolation and spline functions. II: Interpolation of data of power growth
• Norms of interpolational splines of odd degree in the spaces \(W_ 2^ k\)
• Bernoulli-Euler updown numbers associated with function singularities, their combinatorics and arithmetics
• Analysis II. Convex analysis and approximation theory. Transl. from the Russian by D. Newton
• How small can one make the derivatives of an interpolating function?
• On 'best' interpolation
• Extremal problems of functional interpolation and interpolation-in-the- mean splines
• A note on the condition numbers of the B-spline bases
• The exact condition of the B-spline basis may be hard to determine
• New upper bound for the \(B\)-spline basis condition number II. A proof of de Boor's \(2^k\)-conjecture
• Approximation by spline functions and estimates of diameters
• New recursive representations for the Favard constants with application to multiple singular integrals and summation of series
• Fifty years of Schoenberg's problem on the convergence of spline interpolation
• Cardinal interpolation and spline functions
• Interpolation by functions with \(n\)th derivative of minimum norm
• Prolongement extremal de fonctions différentiables d'une variable
• On cardinal perfect splines of least sup-norm on the real axis
• Sur l'interpolation
• Enumeration of Standard Young Tableaux
• Increasing trees and alternating permutations
• On the integral of the product of the Appell polynomials
• The Rayleigh function: Theory and methods for its calculation

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