Journal of Mathematics and Applications
07/40, DOI: 10.7862/rf.2017.7
On the Derivative of a Polynomial with Prescribed Zeros
Vinay K. Jain
DOI: 10.7862/rf.2017.7
Abstract
References
- A. Aziz, Inequalities for the derivative of a polynomial, Proc. Amer. Math. Soc. 89 (1983) 259-266.
- A. Aziz, Q.M. Dawood, Inequalities for a polynomial and its derivative, J. Approx. Theory 54 (1988) 306-313.
- K.K. Dewan, J. Kaur and A. Mir, Inequalities for the derivative of a polynomial, J. Math. Anal. Appl. 269 (2002) 489-499.
- C. Frappier, Q.I. Rahman and St. Ruscheweyh, New inequalities for polynomials, Trans. Amer. Math. Soc. 288 (1985) 69-99.
- A. Giroux, Q.I. Rahman and G. Schmeisser, On Bernstein's inequality, Canad. J. Math. 31 (1979) 347-353.
- N.K. Govil, On the derivative of a polynomial, Proc. Amer. Math. Soc. 41 (1973) 543-546.
- N.K. Govil, Q.I. Rahman and G. Schmeisser, On the derivative of a polynomial, Ill. J. Math. 23 (1979) 319-329.
- N.K. Govil, Inequalities for the derivative of a polynomial, J. Approx. Theory 63 (1990) 65-71.
- N.K. Govil, Some inequalities for derivatives of polynomials, J. Approx. Theory 66 (1991) 29-35.
- M.A. Malik, On the derivative of a polynomial, J. London Math. Soc. 2 1 (1969) 57-60.
- G. Polya, G. Szegö, Problems and Theorems in Analysis, Vol. 1, Springer-Verlag, Berlin-Heidelberg, 1972.
- P. Turan, Über die Ableitung von Polynomen, Compositio Math. 7 (1940) 89-95.
About this Article
TITLE:
On the Derivative of a Polynomial with Prescribed Zeros
AUTHORS:
Vinay K. Jain
AUTHORS AFFILIATIONS:
Mathematics Department, Kharagpur, India
JOURNAL:
Journal of Mathematics and Applications
07/40
KEY WORDS AND PHRASES:
Derivative; Polynomial; Zero of order m at 0; Refinement; Generalization
FULL TEXT:
http://doi.prz.edu.pl/pl/pdf/jma/56
DOI:
10.7862/rf.2017.7
URL:
http://dx.doi.org/10.7862/rf.2017.7
RECEIVED:
2017-03-31
COPYRIGHT:
Publishing House of Rzeszow University of Technology Powstańców Warszawy 12, 35-959 Rzeszow