Constructive Approximation

Summary

This paper works on [-1, 1 ] and obtains Markov-type estimates for the derivatives of polynomials from a rather wide family of classes of constrained polynomes and results turn out to be sharp.

Keywords

Constructive, Computer science, Mathematics, Programming language, Process (computing)

References

Interpolatory convexity-preserving subdivision schemes for curves and surfacesNira Dyn, David Levin, D. Liu — 1992
Interpolation through an iterative schemeSerge Dubuc — 1986
Analysis of uniform binary subdivision schemes for curve designNira Dyn, John Gregory, David Levin — 1991
Characterization of Local Strict Convexity Preserving Interpolation Methods by C1 FunctionsJ. M. Carnicer, Wolfgang Dahmen — 1994
A 4-point interpolatory subdivision scheme for curve designNira Dyn, David Levin, John Gregory — 1987
The design of curves and surfaces by subdivision algorithmsA. Cavaretta, C. Micchelli — 1989

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