We derive new and sharp estimates for the growth in the complex plane of polynomials known to have a curved majorant on a given ellipse. These so-called Bernstein type inequalities are closely connected with certain constrained Chebyshev approximation problems on ellipses. We also present some new results for approximation problems of this type.
|Journal||Complex Variables, Theory and Application: An International Journal|
|Number of pages||17|
|Publication status||Published - 18.05.1990|