有理函数的Bernstein型和Markov型不等式
Bernstein- and Markov-type inequalities for rational functions
摘要：
建立了$C^2$光滑Jordan曲线和圆弧上有理函数的渐近尖锐Bernstein型和Markov型不等式.结果制定在正常的衍生物的某些格林函数的极点在极点的有理函数的问题。作为一个特殊情况（当所有的极点都在无穷远），多项式的相应结果被重新捕获。
英文摘要：
Asymptotically sharp Bernstein- and Markov-type inequalities are established for rational functions on $C^2$ smooth Jordan curves and arcs. The results are formulated in terms of the normal derivatives of certain Green's functions with poles at the poles of the rational functions in question. As a special case (when all the poles are at infinity) the corresponding results for polynomials are recaptured.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
