Power inequalities for log-convex functions with applications

被引:0
|
作者
Ighachane, Mohamed Amine [1 ]
Akkouchi, Mohamed [2 ]
Sababheh, Mohammad [3 ]
机构
[1] Chouaib Doukkali Univ, Higher Sch Educ & Training El Jadida, Sci & Technol Team ESTE, El Jadida, Morocco
[2] Univ Cadi Ayyad, Fac Sci Semlalia, Dept Math, Ave Prince My Abdellah,BP 2390,Marrakesh 40-000, Marrakech, Morocco
[3] Princess Sumaya Univ Technol, Dept Basic Sci, Amman 11941, Jordan
关键词
Log-convex functions; operator means; matrix inequalities; MATRIX INEQUALITIES; YOUNG;
D O I
10.2298/FIL2313425I
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we present new inequalities for log-convex functions, with some applications to operator means. The significance of the obtained results is two folded; the results themselves and the way they extend many known results in the literature.
引用
收藏
页码:4425 / 4441
页数:17
相关论文
共 50 条
  • [31] SOME NEW HERMITE-HADAMARD TYPE INEQUALITIES FOR n-TIMES log-CONVEX FUNCTIONS
    Meftah, B.
    Marrouche, C.
    JORDAN JOURNAL OF MATHEMATICS AND STATISTICS, 2021, 14 (04): : 651 - 669
  • [32] Some integral inequalities of the Hermite-Hadamard type for log-convex functions on co-ordinates
    Bai, Yu-Mei
    Qi, Feng
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (12): : 5900 - 5908
  • [33] The Log-Convex Density Conjecture
    Morgan, Frank
    CONCENTRATION, FUNCTIONAL INEQUALITIES AND ISOPERIMETRY, 2011, 545 : 209 - 211
  • [34] INTEGRAL MEANS OF HOLOMORPHIC FUNCTIONS AS GENERIC LOG-CONVEX WEIGHTS
    Doubtsov, Evgueni
    BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2018, 97 (01) : 88 - 93
  • [35] On upper Hermite-Hadamard inequalities for geometric-convex and log-convex functions (vol 20, pg 25, 2014)
    Sandor, Jozsef
    NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS, 2022, 28 (02) : 380 - 381
  • [36] Some properties of log-convex function and applications for the exponential function
    Zhang, Xiaoming
    Jiang, Weidong
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2012, 63 (06) : 1111 - 1116
  • [37] HERMITE-HADAMARD INTEGRAL INEQUALITIES FOR LOG-CONVEX INTERVAL-VALUED FUNCTIONS ON CO-ORDINATES
    Ali, M. A.
    Murtaza, G.
    Budak, H.
    TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, 2022, 12 (02): : 456 - 468
  • [38] INEQUALITIES FOR CONVEX AND 3-LOG-CONVEX FUNCTIONS
    Brnetic, Ilko
    RAD HRVATSKE AKADEMIJE ZNANOSTI I UMJETNOSTI-MATEMATICKE ZNANOSTI, 2013, 17 (515): : 189 - 193
  • [39] On the roots of polynomials with log-convex coefficients
    Hernandez Cifre, Maria A.
    Tarraga, Miriam
    Yepes Nicolas, Jesus
    CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 2022, : 470 - 493
  • [40] The supportable QoS region of a multiuser system with log-convex interference functions
    Boche, Holger
    Schubert, Martin
    2007 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH, AND SIGNAL PROCESSING, VOL III, PTS 1-3, PROCEEDINGS, 2007, : 677 - +