Bernstein-Type Integral Inequalities for a Certain Class of Polynomials

被引:19
作者
Mir, Abdullah [1 ]
机构
[1] Univ Kashmir, Dept Math, Srinagar 190006, Jammu & Kashmir, India
关键词
Polar derivative; Bernstein-type inequalities; zeros;
D O I
10.1007/s00009-019-1428-5
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we establish some Bernstein-type integral inequalities for a certain class of polynomials involving the polar derivative. Our results generalize some known polynomial inequalities and include as special cases several interesting generalizations and refinements of some L gamma inequalities for polynomials as well.
引用
收藏
页数:11
相关论文
共 14 条
[1]  
[Anonymous], 2008, J INEQ PURE APPL MAT
[2]   INEQUALITIES FOR THE POLAR DERIVATIVE OF A POLYNOMIAL [J].
AZIZ, A .
JOURNAL OF APPROXIMATION THEORY, 1988, 55 (02) :183-193
[3]  
Aziz A, 1997, INDIAN J PURE AP MAT, V28, P1413
[4]   Some Zygmund type Lq inequalities for polynomials [J].
Aziz, A ;
Rather, NA .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 289 (01) :14-29
[5]  
Aziz A, 2007, ANAL THEORY APPL, V23, P101, DOI DOI 10.1007/s10496-007-0101-1
[6]   ON ERDOS-LAX THEOREM [J].
CHAN, TN ;
MALIK, MA .
PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 1983, 92 (03) :191-193
[7]   A Bernstein type Lp inequality for a certain class of polynomials [J].
Gardner, R ;
Weems, A .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1998, 219 (02) :472-478
[8]  
Gardner RB., 2004, East Journal of Approximation, V10, P301
[9]   On inequalities involving polar derivative of a polynomial [J].
Govil, N. K. ;
Kumar, P. .
ACTA MATHEMATICA HUNGARICA, 2017, 152 (01) :130-139
[10]  
Holod R., 2012, Masons at Work: Architecture and Construction in the Pre-Modern World, P1