多项式和多项式不等式

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