Some inequalities of algebraic polynomials having all zeros inside

Author:
A. K. Varma

Journal:
Proc. Amer. Math. Soc. **88** (1983), 227-233

MSC:
Primary 41A17; Secondary 26C05

DOI:
https://doi.org/10.1090/S0002-9939-1983-0695248-5

MathSciNet review:
695248

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Abstract: Let be the set of all algebraic polynomials whose degree is and whose zero are all real and lie inside . Then for even we have

**[1]**J. Eröd,*Bizonyos polinomok maximumar ial*, Mat. Fiz. Lapok**46**(1939), 58.**[2]**J. Szabadös and A. K. Varma,*Approximation theory*. III (E. W. Cheney, ed.), Academic Press, New York, 1980, pp. 881-888.**[3]**P. Turán,*Über die Ableitund von Polynomen*, Compositio Math.**7**(1939), 89-95. MR**0000228 (1:37b)****[4]**A. K. Varma,*An analogue of some inequalities of P. Turán concerning algebraic polynomials having all zeros inside*, Proc. Amer. Math. Soc.**69**(1978), 25-33. MR**0473124 (57:12802)**

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DOI:
https://doi.org/10.1090/S0002-9939-1983-0695248-5

Article copyright:
© Copyright 1983
American Mathematical Society