NUMERICAL RADIUS INEQUALITIES IN 2-INNER PRODUCT SPACES

被引:2
作者
Harikrishnan, Panackal [1 ]
Moradi, Hamid Reza [2 ]
Omidvar, Mohsen Erfanian [3 ]
机构
[1] Manipal Acad Higher Educ, Manipal Inst Technol, Dept Math, Manipal, India
[2] Islamic Azad Univ, Mashhad Branch, Young Researchers & Elite Club, Mashhad, Razavi Khorasan, Iran
[3] Islamic Azad Univ, Dept Math, Mashhad, Razavi Khorasan, Iran
来源
KRAGUJEVAC JOURNAL OF MATHEMATICS | 2020年 / 44卷 / 03期
关键词
2-inner product space; linear 2-normed space; numerical range; numerical radius;
D O I
10.46793/KgJMat2003.415H
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we have obtained the analogue results on numerical radius inequalities from the classical inner product spaces to 2-inner product spaces. We have established several related reverse inequalities and some well known results in 2-inner product spaces.
引用
收藏
页码:415 / 421
页数:7
相关论文
共 10 条
[1]  
Cho Y. J., 2001, Theory of 2-inner product spaces
[2]  
Diminnie C, 1973, DEMONSTRATIO MATH, V6, P525
[3]  
Dragomir S. S., 2005, J INEQ PURE APPL MAT, V6
[4]  
Ehret R., 1968, THESIS
[5]  
Freese RW, 2005, COMMUN KOREAN MATH S, V20, P487
[6]  
Fresse R. W., 2001, Geometry of Linear 2-normed spaces
[7]  
Gustafson KE, 1997, NUMERICAL RANGE, P1
[8]  
HARIKRISHNAN P. K., 2011, Novi Sad J. Math., V41, P57
[9]  
Lewandowska Z, 1999, Bull. Math. Soc. Sci. Math. Roum., V92, P353
[10]  
Omidvar ME, 2017, KRAGUJEV J MATH, V41, P81