참고문헌
- A. Aziz, Inequalities for polar derivative of a polynomial, J. Approx. Theory 55 (1988), 183-193. https://doi.org/10.1016/0021-9045(88)90085-8
- A. Aziz and Q. M. Dawood,Inequalities for a polynomial and its derivatives, J. Approx. Theory 54 (1998), 306-311. https://doi.org/10.1016/0021-9045(88)90006-8
- A. Aziz and W. M. Shah, Inequalities for the polar derivative of a polynomial, Indian J. Pure Appl. Math., 29 (1998), 163-173.
- S. N. Bernstein, Sur Lordre de la meilleur approximation des fonctions continues par des poly- nomes de degre donne, Memoire de lAcademie Royal de Belgique (2) 4 (1912), 1-103.
- S. Bernstein, Sur la limitation des derivees des polnomes, C. R. Acad. Sci. Paris 190 (1930), 338-341.
- M. Bidkham and H. S. Mezerji, An operator preserving inequalities between polar derivatives of a polynomial, J. Interdiscip. Math. 14 (2011), 591-601. https://doi.org/10.1080/09720502.2011.10700776
- K. K. Dewan and S. Hans, Generalization of certain well-known polynomial inequalities, J. Math. Anal. Appl. 363 (2010), 38-41. https://doi.org/10.1016/j.jmaa.2009.07.049
- M. H. Gulzar, B. A. Zargar and Rubia Akhter, Inequalities for the polar derivative of a polynomial, J. Anal. 28 (2020), 923-929. https://doi.org/10.1007/s41478-020-00222-4
- M. H. Gulzar, B. A. Zargar and Rubia Akhter, Some inequalities for the polar derivative of a polynomial, Kragujevac J. Math 47 (2023), 567-576.
- E. Laguerre, Oeuvres, Vol. I. Gauthier-Villars, Paris (1898)
- P. D. Lax, Proof of a Conjecture of P. Erd¨os on the derivative of a polynomial, American Mathematical Society, 50 (8) (1994), 509-513.
- A. Liman, R. N. Mohapatra and W. M. Shah, Inequalities for the polar derivative of a polynomial, Complex Anal. Oper. Theory 6 (2012), 1199-1209. https://doi.org/10.1007/s11785-010-0120-3
- M. A. Malik, M. C. Vong, Inequalities concerning the derivative of polynomials, Rend. Circ. Math. Palermo 34 (2) (1985), 422-426. https://doi.org/10.1007/BF02844535
- M. Marden, Geometry of polynomials, Math.Surveys No.3, Amer.Math.Soc., Providence, Rhode Island, 1966.
- Q. I. Rahman, Functions of exponential type, Trans. Amer. Math. Soc. 135 (1969), 295-309. https://doi.org/10.2307/1995018
- Q. I. Rahman and G. Schmeisser, Analytic Theory of Polynomials, Oxford University Press, New York, 2002.
- W. M. Shah, A generalization of a theorem of P. Turan, J. Ramanujan Math. Soc. 1 (1996), 29-35.
- W. M. Shah and A. Liman, An operator preserving inequalities between polynomials, J. Inequalities Pure Applied Math. 9 (2008), 1-12.
- Xin Li, A comparison inequality for rational functions, Proc. Am. Math. Soc. 139 (2011), 1659-1665. https://doi.org/10.1090/S0002-9939-2010-10624-X