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

MathSciNet review:
518524

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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]**Francis P. Callahan Jr.,*An extremal problem for polynomials*, Proc. Amer. Math. Soc.**10**(1959), 754–755. MR**0114902**, 10.1090/S0002-9939-1959-0114902-3**[2]**A. Giroux and Q. I. Rahman,*Inequalities for polynomials with a prescribed zero*, Trans. Amer. Math. Soc.**193**(1974), 67–98. MR**0352427**, 10.1090/S0002-9947-1974-0352427-3**[3]***Problems in complex function theory*, Bull. London Math. Soc.**4**(1972), 354–366. MR**0480954****[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**, 10.1090/S0002-9947-1976-0399427-7**[5]**Q. I. Rahman and Frank Stenger,*An extremal problem for polynomials with a prescribed zero*, Proc. Amer. Math. Soc.**43**(1974), 84–90. MR**0333123**, 10.1090/S0002-9939-1974-0333123-0

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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