Maximal generalization of Lanczos' derivative using one-dimensional integrals

zbMath1490.65033arXiv1906.04921MaRDI QIDQ5079313

Andrej Liptaj

Publication date: 25 May 2022

Full work available at URL: https://arxiv.org/abs/1906.04921

zbMATH Keywords

numerical differentiationhigher-order derivativesLanczos' derivative

Mathematics Subject Classification ID

Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Numerical differentiation (65D25)

Uses Software

• Mathematica

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Differentiation by integration using orthogonal polynomials, a survey
• Differentiation by integration with Jacobi polynomials
• Numerical differentiation for high orders by an integration method
• Lanczos' generalized derivative: Insights and applications
• On the Generalized "Lanczos' Generalized Derivative"
• Numerical differentiation by integration
• The Least-Squares Property of the Lanczos Derivative
• Lanczo's Generalized Derivative
• A probabilistic example of a nowhere analytic C ?-function

This page was built for publication: Maximal generalization of Lanczos' derivative using one-dimensional integrals