On The Maximum Modulus of a Polynomial

Chitkara OAJ

March 30, 2015

Abstract:

Author(s):

Bilal Dar, Department of Mathematics, University of Kashmir, Hazratbal Srinagar-190006, India
Abdullah Mir, Department of Mathematics, University of Kashmir, Hazratbal Srinagar-190006, India
Q. M. Dawood, Department of Mathematics, University of Kashmir, Hazratbal Srinagar-190006, India
M.I. Shiekh, Department of Mathematics, Bhoj Mahavidyalaya, Bhopal Barkatulla Vishvavidyala, Bhopal, India
Mir Ahsan Ali, Department of Mathematics, Bhoj Mahavidyalaya, Bhopal Barkatulla Vishvavidyala, Bhopal, India

DOI:

https://doi.org/10.15415/mjis.2015.32011

Keywords:

Polynomial, Zeros, Maximum modulus, Mathematics Subject Classification (2010): 30A10, 30C10, 30D15

References:

A Ankeny, N.C. and Rivilin, T.J., On a theorem of S. Bernstein, Pacific J. Math.,5(1955), 849-852. http://dx.doi.org/10.2140/pjm.1955.5.849

A Aziz, A. and Dawood, Q.M., Inequalities for a polynomial and its derivative, J. Approx. Theory, 54 (1988), 306-313. http://dx.doi.org/10.1016/0021-9045(88)90006-8

A Aziz, A. and Mohammad, Q.G., Growth of polynomials with zeros outside a circle, Proc. Amer. Math. Soc, 81 (1981), 549-553. http://dx.doi.org/10.1090/S0002-9939-1981-0601727-7

A Aziz, A. and Zargar, B.A., Growth of maximum modulus of polynomials with prescribed zeros, Glas. Mate., 37 (2002), 73-81.

Jain, V.K., On maximum modulus of polynomials, Annales Univ. Marie Curie-SKlodowska Lublin-Polonia, LV, 7(2001), 81-84.

Milovanovic, G.V., Mitrivonic, D.S., and Rassias, Th.M. Topics in Polynomials, Extremal properties, Inequalities, Zeros, World Scientific, Publishing Co., Singapore, 1994. http://dx.doi.org/10.1142/9789814360463

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