Gibbs derivatives

DOI10.1080/01630569408816557zbMath0792.42015OpenAlexW4239024125MaRDI QIDQ4291893

Radomir S. Stanković

Publication date: 1 August 1994

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630569408816557

zbMATH Keywords

Walsh functionsVilenkin groupsGibbs derivativesButzer-Wagner dyadic derivative

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Harmonic analysis on specific compact groups (43A75)

Related Items (3)

On the two-dimensional pointwise dyadic calculus ⋮ The optimal dyadic derivative ⋮ GIBBS DERIVATIVES IN LINEAR SYSTEM THEORY

Cites Work

• The derivatives and integrals of fractional order in Walsh-Fourier analysis, with applications to approximation theory
• Generalization of some results concerning Walsh series and the dyadic derivative
• Boolean calculus of differences
• On dyadic analysis based on the pointwise dyadic derivative
• The Gibbs dyadic differentiator and its relationship to the Boolean difference
• Recent developments in the theory of Walsh series
• Five short stories about the cardinal series
• A note on differential operators on finite non-abelian groups
• A NOTE ON DIFFERENTIAL OPERATORS ON FINITE ABELIAN GROUPS
• An extension of the dyadic calculus with fractional order derivatives. Further theory and applications
• On the definition of dyadic differentiation
• On a Concept of a Derivative Among Functions Defined on the Dyadic Field
• Eine dyadische Infinitesimalrechnung für Haar-Funktionen
• Walsh-fourier series and the concept of a derivative^†
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