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多項式和多項式不等式

多項式和多項式不等式

定 價:¥72.00

作 者: [加]Peter Borwein,(美)Tamas Erdelyi著
出版社: 世界圖書出版公司北京公司
叢編項: Graduate Texts in Mathematics
標(biāo) 簽: 暫缺

ISBN: 9787506233026 出版時間: 1997-01-01 包裝: 平裝
開本: 20cm 頁數(shù): 480頁 字?jǐn)?shù):  

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暫缺《多項式和多項式不等式》簡介

作者簡介

暫缺《多項式和多項式不等式》作者簡介

圖書目錄

PREFACE
CHAPTER1IntroductionandBasicProperties
1.1PolynomialsandRationalFunctions
1.2TheFundamentalTheoremofAlgebra
1.3ZerosoftheDerivative
CHAPTER2SomeSpecialPolynomials
2.1ChebyshevPolynomials
2.2OrthogonalFunctions
2.3OrthogonalPolynomials
2.4PolynomialswithNonnegativeCoefficients
CHAPTER3ChebyshevandDescartesSystems
3.1ChabyshevSystems
3.2DescartesSystems
3.3ChebyshevPolynomialsinChebyshevSpaces
3.4Muntz-LegendrePolynomials
3.5ChebyshevPolynomialsinRationalSpaces
CHAPTER4DensenessQuestions
4.1VariationsontheWeierstrassTheorem
4.2Muntz'sTheorem
4.3UnboundedBernsteinInequalities
4.4MuntzRationals
CHAPTER5BasicInequalities
5.1ClassicalPolynomialInequalities
5.2Markov'sInequalityforHigherDerivatives
5.3InequalitiesforNormsofFactors
CHAPTER6InequalitiesinMuntzSpaces
6.1InequalitiesinMuntzSpaces
6.2NondenseMuntzSpaces
CHAPTER7InequalitiesforRationalFunctionSpaces
7.1InequalitiesforRationalFunctionSpaces
7.2InequalitiesforLogarithmicDerivatives
APPENDIXA1AlgorithmsandComputationalConcerns
APPENDIXA2OrthogonalityandIrrationality
APPENDIXA3AnInterpolationTheorem
APPENDIXA4InequalitiesforGeneralizedPolynomialsinLp
APPENDIXA5InequalitiesforPolynomialswithConstraints
BIBLIOGRAPHY
NOTATION
INDEX

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