An extension of the dyadic calculus with fractional order derivatives. Further theory and applications

DOI10.1016/0898-1221(86)90028-3zbMath0661.42018OpenAlexW2078147189MaRDI QIDQ3810316

Wolfgang Engels, U. Wipperfürth, Paul L. Butzer

Publication date: 1986

Published in: Computers & Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(86)90028-3

zbMATH Keywords

Walsh functionsdyadic derivativesdyadic wave equationED-derivative

Mathematics Subject Classification ID

Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Cesàro, Euler, Nörlund and Hausdorff methods (40G05) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Antidifferentiation (26A36)

Related Items (2)

Gibbs derivatives ⋮ The optimal dyadic derivative

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Sampling principle for duration-limited signals and dyadic Walsh analysis
• On the characterization of the dyadic derivative
• Best approximation by Walsh polynomials
• On dyadic analysis based on the pointwise dyadic derivative
• Functions represented by Rademacher series
• Optimisation of a tubular linear machine with permanent magnets for wave energy extraction
• On Walsh-Fourier Series
• Dyadic calculus and sampling theorems for functions with multidimensional domain I. General theory
• On the Rate of Growth of the Walsh Antidifferentiation Operator
• Functions represented by integrated Radmacher series
• On the Walsh Functions

This page was built for publication: An extension of the dyadic calculus with fractional order derivatives. Further theory and applications