| BEST LIPSCHITZ CONSTANTS FOR THE BEZIER NETS AND BERNSTEIN POLYNOMIALS OVER A SIMPLEX |
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| 引用本文： | 陈发来. BEST LIPSCHITZ CONSTANTS FOR THE BEZIER NETS AND BERNSTEIN POLYNOMIALS OVER A SIMPLEX[J]. 数学物理学报(B辑英文版), 1998, 0(3) |
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| 作者姓名： | 陈发来 |
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| 作者单位： | Department of Mathematics，University of Science and Technology of China，Hefei 250026，China |
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| 摘 要： | 1IntroductionBernsteinpolynothealspreservethepropertiesoftheircorrespondingfunctionsandB6ziernets,forexample,convekityandmononity,tolargeextends.Thisisknownasshapepreservingproperty.ShapepreservingpropertiesofBernsteinpolynomialsmakethemplayanimportantroleinComputerAidedGeometricDesignandApproximationThe6ry.Manyscholarshavemademucheffortsinstudyillgthoseproperties.In1987,Brown,etal[1]begantostudyLipschitzcontilluitypreservingpropertyofBernsteinpolynomials.Theyprovedthatifunivariatefuncti…
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BEST LIPSCHITZ CONSTANTS FOR THE BEZIER NETS AND BERNSTEIN POLYNOMIALS OVER A SIMPLEX |
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| Chen Falai. BEST LIPSCHITZ CONSTANTS FOR THE BEZIER NETS AND BERNSTEIN POLYNOMIALS OVER A SIMPLEX[J]. Acta Mathematica Scientia, 1998, 0(3) |
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| Authors: | Chen Falai |
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| Abstract: | |
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| Keywords: | Bernstein polynomials Bezier nets shape preserving property Lipschitz continuity simplex |
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