Inequalities for Rational Function Spaces
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.
KeywordsReal Root Chebyshev Polynomial Blaschke Product Logarithmic Derivative Open Disk
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