Inequalities for Rational Function Spaces

  • Peter Borwein
  • Tamás Erdélyi
Part of the Graduate Texts in Mathematics book series (GTM, volume 161)


Precise Markov- and Bernstein-type inequalities are given for various classes of rational functions in the first section of this chapter. Extensions of the inequalities of Lax, Schur, and Russak are also presented, as are inequalities for self-reciprocal polynomials. The second section of the chapter is concerned with metric inequalities for polynomials and rational functions.


Real Root Chebyshev Polynomial Blaschke Product Logarithmic Derivative Open Disk 
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Copyright information

© Springer-Verlag New York, Inc. 1995

Authors and Affiliations

  • Peter Borwein
    • 1
  • Tamás Erdélyi
    • 2
  1. 1.Department of Mathematics and StatisticsSimon Fraser UniversityBurnabyCanada
  2. 2.Department of MathematicsTexas A&M UniversityCollege StationUSA

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