Analysis and construction of a family of refinable functions based on generalized Bernstein polynomials

DOI10.1186/s13660-016-1106-0zbMath1342.42037OpenAlexW2464937629WikidataQ59467317 ScholiaQ59467317MaRDI QIDQ300550

Ting Cheng, Xiao-Yuan Yang

Publication date: 28 June 2016

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-016-1106-0

zbMATH Keywords

convergenceBernstein polynomialsapproximation orderdecay raterefinable functionscascade algorithmsRiesz wavelet basis

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Approximation by polynomials (41A10) Spline approximation (41A15)

Cites Work

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• Ten Lectures on Wavelets
• Stability and Linear Independence Associated with Wavelet Decompositions
• On the Computation of Battle-Lemarie's Wavelets
• Linear independence of pseudo-splines
• Smooth wavelet tight frames with zero moments

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