书籍详情
多项式和多项式不等式
作者:[加]Peter Borwein,(美)Tamas Erdelyi著
出版社:世界图书出版公司北京公司
出版时间:1997-01-01
ISBN:9787506233026
定价:¥72.00
内容简介
暂缺《多项式和多项式不等式》简介
作者简介
暂缺《多项式和多项式不等式》作者简介
目录
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
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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