On the derivative of a polynomial

Elahe Khojastehnezhad; Mahmood Bidkham

doi:10.5269/bspm.41683

Elahe Khojastehnezhad University of Semnan
Mahmood Bidkham University of Semnan

Résumé

In this paper, we establish some inequalities for the complex polynomial. Our results constitute generalizations and refinements of some well-known polynomial inequalities.

Téléchargements

Les données sur le téléchargement ne sont pas encore disponible.

Références

Aziz, A., Ahmad, N., Inequalities for the derivative of a polynomial, Proc. Indian Acad. Sci. (Math. Sci.) 107, 189-196, (1997).

Bidkham, M., Dewan, K. K., Inequalities for a polynomial and its derivative, J. Math. Anal. Appl. 166, 319-324, (1992).

Bidkham, M., Soleiman Mezerji, H. A., Some inequalities for the polar derivative of polynomials in complex domain, Complex Anal. Oper. Theory. 7, 1257-1266, (2013).

Dewan, K. K., Bidkham, M., On the Enestrom-Kakeya theorem, J. Math. Anal. Appl. 180, 29-36, (1993).

Dewan, K. K., Hans, S., On Extremal Properties for the derivative of polynomials, J. Math. Balkanica. 23, 27-35, (2009).

Chan, T. N., Malik, M. A., On Erdos-Lax theorem, Proc. Indian. Acad. Sci. 92, 191-193, (1983).

Khojastehnezhad, E., Bidkham, M., Inequalities for the polar derivative of a polynomial with S-fold zeros at the origin, Bull. Iran. Math. Soc. 43, 2153-2167, (2017).

Lax, P. D., Proof a conjecture of P. Erdos on the derivative of a polynomial, Bull. Amer. Math Soc. 50, 509-513, (1944).

Govil, N. K., On a theorem of Bernstein, Proc. Natl. Acad. Sci. 50, 50-52, (1980).

Govil, N. K., On a theorem of Bernstein, J. Math. Phy. Sci. 14, 183-187, (1980).

Govil, N. K., Rahman, Q. I., Functions of exponential type not vanishing in a half plane and related polynomials, Trans. Amer. Math. Soc. 137, 501-517, (1969).

Malik, M. A., On the derivative of a polynomial. J . London. Math. Soc. 2, 57-60, (1969).

Rahman, Q. I., Schmeisser, G., Analytic Theory of Polynomials, Oxford University Press, New York (2002).

Zireh, A., Generalization of certain well-known inequalities for the derivative of polynomials, Anal. Math. 41, 117-132, (2015).