An extremal problem for polynomials with a prescribed zero. II

Authors:
Q. I. Rahman and G. Schmeisser

Journal:
Proc. Amer. Math. Soc. **73** (1979), 375-378

MSC:
Primary 30A10; Secondary 26D05

DOI:
https://doi.org/10.1090/S0002-9939-1979-0518524-4

MathSciNet review:
518524

Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: Improving upon an earlier estimate it is shown that if is a polynomial of degree at most *n* such that and , then .

**[1]**F. P. Callahan, Jr.,*An extremal problem for polynomials*, Proc. Amer. Math. Soc.**10**(1959), 754-755. MR**0114902 (22:5720)****[2]**A. Giroux and Q. I. Rahman,*Inequalities for polynomials with a prescribed zero*, Trans. Amer. Math. Soc.**193**(1974), 67-98. MR**0352427 (50:4914)****[3]**Ch. Pommerenke,*Problems in complex function theory*, Bull. London Math. Soc.**4**(1972), 354-366. MR**0480954 (58:1101)****[4]**Q. I. Rahman and G. Schmeisser,*Some inequalities for polynomials with a prescribed zero*, Trans. Amer. Math. Soc.**216**(1976), 91-103. MR**0399427 (53:3271)****[5]**Q. I. Rahman and F. Stenger,*An extremal problem for polynomials with a prescribed zero*, Proc. Amer. Math. Soc.**43**(1974), 84-90. MR**0333123 (48:11448)**

Retrieve articles in *Proceedings of the American Mathematical Society*
with MSC:
30A10,
26D05

Retrieve articles in all journals with MSC: 30A10, 26D05

Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1979-0518524-4

Keywords:
Extremal problem,
polynomials with a prescribed zero

Article copyright:
© Copyright 1979
American Mathematical Society