Gibbs–Butzer derivatives overp-adic fields

DOI10.1080/00036810903517647zbMath1211.42038OpenAlexW1989033397WikidataQ58273128 ScholiaQ58273128MaRDI QIDQ2995528

Hua Qiu

Publication date: 21 April 2011

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810903517647

zbMATH Keywords

pseudo-differential operators\(p\)-adic analysisGibbs-Butzer derivative

Mathematics Subject Classification ID

Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Fractals (28A80) Operator theory over fields other than (mathbb{R}), (mathbb{C}) or the quaternions; non-Archimedean operator theory (47S10) Hausdorff and packing measures (28A78) Nontrigonometric harmonic analysis (42C99) Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups (43A25)

Related Items (1)

The optimal dyadic derivative

Cites Work

• Function spaces on local fields
• Distributional dimension of fractal sets in local fields
• On the connection between the order of fractional calculus and the dimensions of a fractal function
• Measures and dimensions of fractal sets in local fields
• 3-adic Cantor function on local fields and its \(p\)-adic derivative
• Weierstrass-like functions on local fields and their \(p\)-adic derivatives
• THE CONNECTION BETWEEN THE ORDERS OF p-ADIC CALCULUS AND THE DIMENSIONS OF THE WEIERSTRASS TYPE FUNCTION IN LOCAL FIELDS
• A note on differential operators on finite non-abelian groups
• On a Concept of a Derivative Among Functions Defined on the Dyadic Field
• Walsh-fourier series and the concept of a derivative^†

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