Moser's inequality on the ball Bn for functions with mean value zero

On the Bernstein Inequality for Rational

On the Bernstein Inequality for Rational Functions with a Prescribed Zero

✍ Roy Jones; Xin Li; R.N. Mohapatra; R.S. Rodriguez 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 390 KB

We extend some results of Giroux and Rahman (Trans. Amer. Math. Soc. 193 (1974), 67 98) for Bernstein-type inequalities on the unit circle for polynomials with a prescribed zero at z=1 to those for rational functions. These results improve the Bernstein-type inequalities for rational functions. The