BERNSTEIN TYPE INEQUALITIES FOR SCHUR-SZEGO<spacing diaeresis> COMPOSITION OF POLYNOMIALS

被引：0

作者：

Manzoor, Zahid ^{[1
]}

Shah, W. M. ^{[1
]}

机构：

[1] Cent Univ Kashmir, Dept Math, Ganderbal 191201, Jammu & Kashmir, India

来源：

JOURNAL OF MATHEMATICAL INEQUALITIES | 2024年 / 18卷 / 04期

关键词：

and phrases; Polynomial; composition; Hadmard's product; convolution; inequalities; Bern-; stein; Schur-Szego<spacing diaeresis>;

D O I：

10.7153/jmi-2024-18-76

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we prove some inequalities for Schur-Szego<spacing diaeresis> composition of polynomials, which inter-alia include classical Bernstein type inequalities for polynomials with restricted zeros.

引用

页码：1313 / 1326

页数：14

共 8 条

[1]

Ankeny N. C., 1955, PAC J MATH, V5, P849, DOI [10.2140/pjm.1955.5.849, DOI 10.2140/PJM.1955.5.849]

[2] INEQUALITIES FOR A POLYNOMIAL AND ITS DERIVATIVE [J].

AZIZ, A ;

DAWOOD, QM .

JOURNAL OF APPROXIMATION THEORY, 1988, 54 (03) :306-313

[3]

Bernstein S, 1930, CR HEBD ACAD SCI, V190, P338

[4] On a Composition Preserving Inequalities between Polynomials [J].

Gulzar, S. ;

Rather, N. A. .

JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES, 2018, 53 (01) :21-26

[5]

LAX P. D., 1944, Bull. Amer. Math. Soc., V50, P509, DOI DOI 10.1090/S0002-9904-1944-08177-9

[6]

Marden M., 1949, GEOMETRY POLYNOMIALS

[7]

Rahman Q. I., 2002, Analytic Theory of Polynomials, V26, DOI [DOI 10.1093/OSO/9780198534938.001.0001, 10.1093/oso/9780198534938.001.0001]

[8]

Visser C.:., 1945, Nederl. Akad. Wetensch. Proc, V47, P276

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