Explicit polynomial expansions of regular real functions by means of even order Bernoulli polynomials and boundary values

DOI10.1016/j.cam.2004.07.004zbMath1058.65014OpenAlexW2026010841MaRDI QIDQ1765361

R. Luceri, Francesco Aldo Costabile, Francesco Dell'Accio

Publication date: 23 February 2005

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

Full work available at URL: https://doi.org/10.1016/j.cam.2004.07.004

zbMATH Keywords

Bernoulli polynomialsBoundary valuesLidstone polynomialsExpansion

Mathematics Subject Classification ID

Numerical interpolation (65D05)

Related Items

Pointwise and uniform error estimates associated with Abel-Whittaker interpolation series and its dual ⋮ Eigenvalues of a general class of boundary value problem with derivative-dependent nonlinearity ⋮ A class of Birkhoff-Lagrange-collocation methods for high order boundary value problems ⋮ Complementary Lidstone interpolation on scattered data sets ⋮ Univariate Lidstone-type multiquadric quasi-interpolants ⋮ On the bivariate Shepard-Lidstone operators ⋮ Polynomial approximation to a non-local boundary value problem ⋮ Odd and even Lidstone-type polynomial sequences. I: Basic topics ⋮ Triple solutions of complementary Lidstone boundary value problems via fixed point theorems ⋮ Cubic Lidstone-spline for numerical solution of BVPs ⋮ New embedded boundary-type quadrature formulas for the simplex ⋮ Special even polynomials and related interpolatory problems ⋮ Polynomial approximation of \(C^M\) functions by means of boundary values and applications: A survey ⋮ A mixed Lagrange-Bernoulli tensor product expansion on the rectangle with applications ⋮ Complementary Lidstone interpolation and boundary value problems ⋮ Collocation for high-order differential equations with Lidstone boundary conditions ⋮ Piecewise complementary Lidstone interpolation and error inequalities ⋮ New bivariate polynomial expansion with boundary data on the simplex ⋮ Odd and even Lidstone-type polynomial sequences. II: Applications

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Multivariate vertex splines and finite elements
• Lidstone approximation on the triangle
• Explicit error estimates for quintic and biquintic spline interpolation
• A unique multivariate Hermite interpolant on the simplex
• Explicit error bounds for the derivatives of piecewise-Lidstone interpolation
• Zeros of Bernoulli, generalized Bernoulli and Euler polynomials
• Expansion over a rectangle of real functions in Bernoulli polynomials and applications
• Expansions over a simplex of real functions by means of Bernoulli polynomials