A Note on Visser's Inequality

被引:0
作者
Shafi, M. [1 ]
Rather, N. A. [2 ]
Gulzar, S. [3 ]
机构
[1] Mohmmad Shafi wani Univ Kashmir, Srinagar 190006, India
[2] Nisar Ahmad Rather Univ Kashmir, Srinagar 190006, India
[3] Suhail Gulzar Govt Sri Pratap Coll, Srinagar 190001, India
关键词
polynomial; Visser's inequality; inequality in the complex domain;
D O I
10.3103/S1066369X24700889
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Certain new estimates for the coefficients of a polynomial are obtained, which among other things furnishes new but equivalent forms of some well known results of V.K. Jain [Bull. Math. Soc. Math. Roumanie Tome 49 (97), no. 2, 171-175 (2006)] and S. Gulzar [C. R. Acad. Sci. Paris, Ser. I 354, 357-363 (2016)].
引用
收藏
页码:44 / 52
页数:9
相关论文
共 12 条
  • [1] Mahler K., An application of Jensen’s formula to polynomials, Mathematika, 7, pp. 98-100, (1960)
  • [2] Visser C., A simple proof of certain inequalities concerning polynomials, Koninkl. Nederl. Akad. Wetensch. Proc, 47, pp. 276-281, (1945)
  • [3] Gulzar S., On estimates for the coefficients of a polynomial, Comptes Rendus. Mathématique, 354, pp. 357-363, (2016)
  • [4] Gulzar S., Rather N.A., L<sub>p</sub> inequalities for the Schur–Szegő composition of polynomials, Acta Math. Hung, 151, pp. 124-138, (2017)
  • [5] Gulzar S., Some Zygmund type inequalities for the sth derivative of polynomials, Anal. Math, 42, pp. 339-352, (2016)
  • [6] Gulzar S., Rather N.A., Wani M.S., On Visser’s inequality concerning an estimation of polynomial coefficients, Russ. Math, 66, pp. 9-15, (2022)
  • [7] Jain V.K., Visser’s inequality and its sharp refinement, Bull. Math. Soc. Sci. Math. Roumanie, 49, pp. 171-175, (2006)
  • [8] Rahman Q.I., Schmeisser G., L<sup>p</sup> inequalities for polynomials, J. Approximation Theory, 53, pp. 26-32, (1988)
  • [9] Arestov V.V., On integral inequalities for trigonometric polynomials and their derivatives,” Math, USSR-Izv, 18, (1982)
  • [10] Arestov V.V., Integral inequalities for algebraic polynomials on the unit circle, Math. Notes Acad. Sci. USSR, 48, pp. 977-984, (1990)