GENERALIZATION OF CERTAIN INEQUALITIES CONCERNING THE POLAR DERIVATIVE OF A POLYNOMIAL

被引：0
|
作者：
Hussain, Imtiaz [1 ]
Liman, A. [1 ]
机构：
[1] Natl Inst Technol, Dept Math, Srinagar 190006, Jammu & Kashmir, India
来源：
KRAGUJEVAC JOURNAL OF MATHEMATICS | 2023年 / 47卷 / 04期
关键词：
Polar derivative; maximum modulus; zeros; inequalities;
D O I：
10.46793/KgJMat2304.613H
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we prove some more general results concerning the maximum modulus of the polar derivative of a polynomial. A variety of interesting results follow as special cases from our results.
引用
收藏
页码：613 / 625
页数：13
相关论文
共 50 条
  • [1] Inequalities Concerning the Polar Derivative of a Polynomial
    Suhail Gulzar
    N. A. Rather
    [J]. Bulletin of the Malaysian Mathematical Sciences Society, 2017, 40 : 1691 - 1700
  • [2] Inequalities Concerning the Polar Derivative of a Polynomial
    Gulzar, Suhail
    Rather, N. A.
    [J]. BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2017, 40 (04) : 1691 - 1700
  • [3] Generalization of Certain Inequalities for a Polynomial and Its Derivative
    Mezerji, H. A. Soleiman
    Baseri, M. Ahmadi
    Bidkham, M.
    Zireh, A.
    [J]. LOBACHEVSKII JOURNAL OF MATHEMATICS, 2012, 33 (01) : 68 - 74
  • [4] Generalization of certain inequalities for a polynomial and its derivative
    H. A. Soleiman Mezerji
    M. Ahmadi Baseri
    M. Bidkham
    A. Zireh
    [J]. Lobachevskii Journal of Mathematics, 2012, 33 (1) : 68 - 74
  • [5] On some inequalities concerning the polar derivative of a polynomial
    A. Liman
    I. Q. Peer
    W. M. Shah
    [J]. The Ramanujan Journal, 2015, 38 : 349 - 360
  • [6] On some inequalities concerning the polar derivative of a polynomial
    Liman, A.
    Peer, I. Q.
    Shah, W. M.
    [J]. RAMANUJAN JOURNAL, 2015, 38 (02): : 349 - 360
  • [7] Some Inequalities Concerning the Polar Derivative of a Polynomial
    Mir, Abdullah
    Dar, Bilal
    [J]. THAI JOURNAL OF MATHEMATICS, 2015, 13 (02): : 421 - 430
  • [8] Some inequalities concerning the polar derivative of a polynomial
    Mir, Abdullah
    Wani, Ajaz
    Gulzar, M. H.
    [J]. JOURNAL OF INTERDISCIPLINARY MATHEMATICS, 2018, 21 (06) : 1387 - 1393
  • [9] REFINEMENTS OF SOME INEQUALITIES CONCERNING THE POLAR DERIVATIVE OF A POLYNOMIAL
    Rather, Nisar A.
    Gulzar, Suhail
    [J]. FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI, 2014, 51 (02) : 269 - 283
  • [10] On the Inequalities Concerning to the Polar Derivative of a Polynomial with Restricted Zeros
    Ahmad, Irshad
    Liman, Abdul
    Shah, Wali Mohammad
    [J]. THAI JOURNAL OF MATHEMATICS, 2018, 16 (01): : 267 - 274
12345