On certain inequalities associated to curvature properties of the nonlinear PPH reconstruction operator

DOI10.1186/s13660-019-1959-0zbMath1499.41008OpenAlexW2947067287WikidataQ128568813 ScholiaQ128568813MaRDI QIDQ2067708

Yanyan Li

Publication date: 19 January 2022

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

Full work available at URL: https://doi.org/10.1186/s13660-019-1959-0

zbMATH Keywords

interpolationapproximationnonlinearitycurvaturenonuniform gridsreconstruction operator

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05) Approximation by polynomials (41A10) Computer-aided design (modeling of curves and surfaces) (65D17)

Cites Work

• Unnamed Item
• A practical guide to splines
• Convexity preserving interpolatory subdivision schemes
• Proving convexity preserving properties of interpolatory subdivision schemes through reconstruction operators
• Analysis of a new nonlinear subdivision scheme. Applications in image processing
• Smoothing by spline functions.

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