Journal of Mathematics and Applications
07/42, DOI: 10.7862/rf.2019.7
On the Maximum Modulus of a Polynomial
Vinay Kumar Jain
DOI: 10.7862/rf.2019.7
Abstract
References
- N.C. Ankeny, T.J. Rivlin, On a theorem of S. Bernstein, Pac. J. Math. 5 (1955) 849–852.
- K.K. Dewan, M.S. Pukhta, On the maximum modulus of polynomials, BHKMS 2 (1999) 279–286.
- N.K. Govil, G. Labelle, On Bernstein’s inequality, J. Math. Anal. Appl. 126 (1987) 494–500.
- N.K. Govil, Q.I. Rahman, G. Schmeisser, On the derivative of a polynomial, Ill. J. Maths. 23 (1979) 319–329.
- P.D. Lax, Proof of a conjecture of P. Erdös on the derivative of a polynomial, Bull. Amer. Math. Soc. 50 (1944) 509–513.
- Z. Nehari, Conformal Mapping, 1st ed., McGraw-Hill, New York, 1952.
- G. Polya, G. Szegö, Problems and Theorems in Analysis, Vol. 1, Springer-Verlag, Berlin-Heidelberg, 1972.
- E.C. Titchmarsh, The Theory of Functions, The English Language Book Society and Oxford University Press, London, 1962.
About this Article
TITLE:
On the Maximum Modulus of a Polynomial
AUTHORS:
Vinay Kumar Jain
AUTHORS AFFILIATIONS:
Mathematics Department, I.I.T., INDIA
JOURNAL:
Journal of Mathematics and Applications
07/42
KEY WORDS AND PHRASES:
Maximum modulus; Polynomial; Refinement; Refinement of the generalization of Schwarz’s lemma; No zeros in |z| < 1.
FULL TEXT:
http://doi.prz.edu.pl/pl/pdf/jma/84
DOI:
10.7862/rf.2019.7
URL:
http://dx.doi.org/10.7862/rf.2019.7
RECEIVED:
2018-09-18
ACCEPTED:
2019-01-10
COPYRIGHT:
Oficyna Wydawnicza Politechniki Rzeszowskiej, al. Powstańców Warszawy 12, 35-959 Rzeszów