INTEGRAL REPRESENTATIONS OF GENERALIZED WHITELEY MEANS AND RELATED INEQUALITIES

被引:0
作者
Pecaric, J. [1 ]
Peric, I. [2 ]
Lipanovic, M. Rodic [1 ]
机构
[1] Univ Zagreb, Fac Text Technol, Zagreb 10000, Croatia
[2] Univ Zagreb, Dept Math, Fac Food Technol & Biotechnol, Zagreb 10000, Croatia
来源
MATHEMATICAL INEQUALITIES & APPLICATIONS | 2009年 / 12卷 / 02期
关键词
complete symmetric polynomials; complete symmetric means; generalized Whiteley means; integral representations; Schur's inequality; Schur's convexity; SCHUR;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The main purpose of this paper is to give two integral representations of generalized Whiteley means which are natural generalization of complete symmetric means. Various applications are given, mainly towards obtaining inequalities characteristic for complete symmetric means such as Schur's inequality. The Schur convexity of this means and related complete symmetric functions is also discussed.
引用
收藏
页码:295 / 309
页数:15
相关论文
共 18 条
  • [1] [Anonymous], 1958, MATHEMATIKA
  • [2] [Anonymous], CLASSICAL NEW INEQUA
  • [3] [Anonymous], 1971, Inequalities
  • [4] ON JESSEN INEQUALITY FOR CONVEX-FUNCTIONS
    BEESACK, PR
    PECARIC, JE
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1985, 110 (02) : 536 - 552
  • [5] Bullen P.S., 1988, Means and their inequalities
  • [6] Bullen P.S., 2003, Handbook of Means and Their Inequalities
  • [7] Carlson B., 1977, Special Functions of Applied Mathematics, V1st ed.
  • [8] Detemple DW, 1979, FAK SER MAT FIZ, V634, P236
  • [9] Guan K., 1998, J CHONGQING TEACHERS, V15, P40
  • [10] Schur-convexity of the complete elementary symmetric function
    Guan, Kaizhong
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2006, 2006 (1) : 1 - 9