GENERALIZATIONS OF SOME ZYGMUND-TYPE INTEGRAL INEQUALITIES FOR POLAR DERIVATIVES OF A COMPLEX POLYNOMIAL

被引：0

作者：

Mir, Abdullah ^{[1
]}

机构：

[1] Univ Kashmir, Dept Math, Srinagar, India

来源：

PUBLICATIONS DE L INSTITUT MATHEMATIQUE-BEOGRAD | 2021年 / 110卷 / 124期

关键词：

complex polynomial; polar derivative; Zygmund-inequality;

D O I：

10.2298/PIM2124057M

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove some results for algebraic polynomials in the complex plane that relate the L-gamma-norm of the polar derivative of a complex polynomial and the polynomial under some conditions. The obtained results include several interesting generalizations of some Zygmund-type integral inequalities for polynomials and derive polar derivative analogues of some classical Bernstein-type inequalities for the sup-norms on the unit disk as well.

引用

页码：57 / 69

页数：13

共 50 条

[21] 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
[22] 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
[23] Generalizations of some reverse integral inequalities
Yang, GS
Hwang, DY
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1999, 233 (01) : 193 - 204
[24] ON GENERALIZATIONS OF SOME CLASSICAL INTEGRAL INEQUALITIES
Liu, Zheng
JOURNAL OF MATHEMATICAL INEQUALITIES, 2013, 7 (02): : 255 - 269
[25] Generalizations of some integral inequalities related to Hardy type integral inequalities via (p,q)-calculus
Thongjob, Suriyakamol
Nonlaopon, Kamsing
Tariboon, Jessada
Ntouyas, Sortiris K.
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2021, 2021 (01):
[26] Some Integral Inequalities for Polynomial
Reingachan, N.
Singha, Nirmal Kumar
Chanam, Barchand
IAENG International Journal of Applied Mathematics, 2023, 53 (01)
[27] Weighted Composition, Volterra and Integral Operators on Hardy Zygmund-Type Spaces
Hassanlou, M.
Abbasi, E.
JOURNAL OF MATHEMATICAL EXTENSION, 2023, 17 (08)
[28] Some Generalizations of Hermite-Hadamard Type Integral Inequalities and their Applications
Muddassar, Muhammad
Bhatti, Muhammad I.
PUNJAB UNIVERSITY JOURNAL OF MATHEMATICS, 2014, 46 (01): : 9 - 18
[29] Further generalizations on some hardy type RL-integral inequalities
Dahmani, Zoubir
Khameli, Amina
Freha, Karima
JOURNAL OF INTERDISCIPLINARY MATHEMATICS, 2020, 23 (08) : 1487 - 1495
[30] Some Generalizations Of Feng Qi Type Integral Inequalities On Time Scales
Yin, Li
Krasniqi, Valmir
APPLIED MATHEMATICS E-NOTES, 2016, 16 : 231 - 243

← 1 2 3 4 5 →