Inequalities for a Polynomial and its Derivative

被引：0
|
作者：
Pukhta, Mohammad Syed [1 ]
机构：
[1] Sher e Kashmir Univ Agr Sci & Technol Kashmir, Div Agri, Stat, Srinagar 191121, Jammu & Kashmir, India
来源：
KYUNGPOOK MATHEMATICAL JOURNAL | 2015年 / 55卷 / 03期
关键词：
Derivative; polynomial; inequality; Zeros;
D O I：
10.5666/KMJ.2015.55.3.689
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we consider the class of polynomials of the type p(z) = z(s) (a(o) + Sigma(n-8)(j=mu) a(j)z(j)), 1 <= mu <= n - s, 0 <= s <= n - 1 having some zeros at origin and ' rest of zeros on or outside the boundary of a prescribed disk, and obtain the generalization of well known results.
引用
收藏
页码：689 / 694
页数：6
相关论文
共 50 条
  • [41] Integral inequalities for polar derivative of a polynomial
    Devi, Maisnam Triveni
    Krishnadas, Kshetrimayum
    Reingachan, N.
    Chanam, Barchand
    JOURNAL OF ANALYSIS, 2022, 30 (01): : 131 - 145
  • [42] On inequalities involving polar derivative of a polynomial
    Govil, N. K.
    Kumar, P.
    ACTA MATHEMATICA HUNGARICA, 2017, 152 (01) : 130 - 139
  • [43] Some inequalities for the polar derivative of a polynomial
    Abdul Aziz
    Wali Mohammad Shah
    Proceedings of the Indian Academy of Sciences - Mathematical Sciences, 1997, 107 : 263 - 270
  • [44] SOME INEQUALITIES FOR THE POLAR DERIVATIVE OF A POLYNOMIAL
    Gulzar, M. H.
    Zargar, B. A.
    Akhter, Rubia
    KRAGUJEVAC JOURNAL OF MATHEMATICS, 2023, 47 (04): : 567 - 576
  • [45] INEQUALITIES FOR THE GENERALIZED DERIVATIVE OF A COMPLEX POLYNOMIAL
    Bhat, F. A.
    Rather, N. A.
    Gulzar, S.
    PUBLICATIONS DE L INSTITUT MATHEMATIQUE-BEOGRAD, 2023, 114 (128): : 71 - 80
  • [46] Integral inequalities for polar derivative of a polynomial
    Maisnam Triveni Devi
    Kshetrimayum Krishnadas
    N. Reingachan
    Barchand Chanam
    The Journal of Analysis, 2022, 30 : 131 - 145
  • [47] Some Inequalities Concerning the Polar Derivative of a Polynomial
    Mir, Abdullah
    Dar, Bilal
    THAI JOURNAL OF MATHEMATICS, 2015, 13 (02): : 421 - 430
  • [48] Some inequalities concerning the polar derivative of a polynomial
    Mir, Abdullah
    Wani, Ajaz
    Gulzar, M. H.
    JOURNAL OF INTERDISCIPLINARY MATHEMATICS, 2018, 21 (06) : 1387 - 1393
  • [49] Some LP inequalities for the polar derivative of a polynomial
    Govil, NK
    Nyuydinkong, G
    Tameru, B
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2001, 254 (02) : 618 - 626
  • [50] Turan Type Inequalities For The Polar Derivative Of A Polynomial
    Akhter, Tawheeda
    Zargar, Bashir Ahmad
    Gulzar, Manzoor Hussain
    APPLIED MATHEMATICS E-NOTES, 2023, 23 : 220 - 228
12345