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A generalization of an inequality concerning the Smirnov operator
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In this paper we establish a generalization of a result recently proved by Ganenkova and Starkov [J. Math. Anal. Appl., \textbf{476} (2019), 696-714] concerning a modified version of Smirnov operator.
Abstract
In this paper we establish a generalization of a result recently proved by Ganenkova and Starkov [J. Math. Anal. Appl., \textbf{476} (2019), 696-714] concerning a modified version of Smirnov operator.
참고문헌 (7)
- A. Aziz, "Inequalities for a polynomial and its derivative", Math. Inequl. Appl, 1(4), pp.543~550 (1998)
- S. N. Bernstein, "Sur l’ordre de la meilleure approximation des fonctions continues par des polynˆomes de degre´ donn´e", Memoires de l’Academie Royals de Belgique, 4, pp.1~103 (1912)
- S. Bernstein, "Sur la limitation des derivees des polynomes", C. R. Acad. Sci. Paris, 190, pp.338~340 (1930)
- E. G. Ganenkova, "Variations on a theme of the Marden and Smirnov operators, differential inequalities for polynomials", J. Math. Anal. Appl, 476, pp.696~714 (2019)
- M. Marden, "Geometry of polynomials", American Mathematical Soc, 3 (1949)
- Q. I. Rahman, "Analytic theory of polynomials" (2002), Oxford Clarendon Press
- V. I. Smirnov, "Constructive theory of functions of a complex variable" (1964), Nauka
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