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 50 条
  • [21] Fractional integral inequalities for generalized convexity
    Kashuri, Artion
    Ali, Muhammad Aamir
    Abbas, Mujahid
    Budak, Hiiseyin
    Sarikaya, Mehmet Zeki
    TBILISI MATHEMATICAL JOURNAL, 2020, 13 (03) : 63 - 83
  • [22] Some generalized integral inequalities and their applications
    Li, Lianzhong
    Meng, Fanwei
    He, Leliang
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 372 (01) : 339 - 349
  • [23] Generalized Integral Inequalities of Chebyshev Type
    Guzman, Paulo M.
    Korus, Peter
    Napoles Valdes, Juan E.
    FRACTAL AND FRACTIONAL, 2020, 4 (02) : 1 - 7
  • [24] Certain generalized fractional integral inequalities
    Nisar, Kottakkaran Sooppy
    Rahman, Gauhar
    Khan, Aftab
    Tassaddiq, Asifa
    Abouzaid, Moheb Saad
    AIMS MATHEMATICS, 2020, 5 (02): : 1588 - 1602
  • [25] Generalized integral inequalities on time scales
    Tooba Fayyaz
    Nazia Irshad
    Asif R Khan
    Ghaus ur Rahman
    Gholam Roqia
    Journal of Inequalities and Applications, 2016
  • [26] Generalized integral inequalities for fractional calculus
    Samraiz, Muhammad
    Iqbal, Sajid
    Pecaric, Josip
    COGENT MATHEMATICS & STATISTICS, 2018, 5 (01):
  • [27] Generalized integral Niezgoda's inequalities
    Ali, M. Maqsood
    Khalif, Asif R.
    ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2022, 15 (12)
  • [28] Integral Inequalities for Generalized Preinvex Functions
    Rashid, Saima
    Noor, Muhammad Aslam
    Noor, Khalida Inayat
    Safdar, Farhat
    PUNJAB UNIVERSITY JOURNAL OF MATHEMATICS, 2019, 51 (10): : 77 - 91
  • [29] New generalized integral inequalities with applications
    Kashuri, Artion
    Liko, Rozana
    Dragomir, Silvestru Sever
    AIMS MATHEMATICS, 2019, 4 (03): : 984 - 996
  • [30] INTEGRAL-INEQUALITIES FOR GENERALIZED CONVOLUTIONS
    IMORU, CO
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1982, 85 (01) : 257 - 278
12345