A NEW CHAIN OF INEQUALITIES INVOLVING THE TOADER-QI, LOGARITHMIC AND EXPONENTIAL MEANS

被引：1
|
作者：
Yang, Zhen-Hang [1 ,2 ]
Tian, Jing-Feng [3 ]
机构：
[1] North China Elect Power Univ, Engn Res Ctr Intelligent Comp Complex Energy Syst, Minist Educ, Baoding 071003, Hebei, Peoples R China
[2] Zhejiang Elect Power Co Res Inst, Dept Sci & Technol Informat, Hangzhou 310014, Zhejiang, Peoples R China
[3] North China Elect Power Univ, Dept Math & Phys, Baoding 071003, Hebei, Peoples R China
来源：
APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS | 2021年 / 15卷 / 02期
关键词：
Toader-Qi Mean; Modified Bessel Function; Exponential Mean; Logarithmic Mean; Hyperbolic Function; SHARP INEQUALITIES; TERMS; MONOTONICITY; BOUNDS;
D O I：
10.2298/AADM201227028Y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we establish an interesting chain of sharp inequalities involving Toader-Qi mean, exponential mean, logarithmic mean, arithmetic mean and geometric mean. This greatly improves some existing results.
引用
收藏
页码：467 / 485
页数：19
相关论文
共 21 条
  • [1] SHARP BOUNDS FOR TOADER-QI MEAN IN TERMS OF LOGARITHMIC AND IDENTRIC MEANS
    Yang, Zhen-Hang
    Chu, Yu-Ming
    Song, Ying-Qing
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2016, 19 (02): : 721 - 730
  • [2] SHARP BOUNDS FOR THE TOADER-QI MEAN IN TERMS OF HARMONIC AND GEOMETRIC MEANS
    Qian, Wei-Mao
    Zhang, Xiao-Hui
    Chu, Yu-Ming
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2017, 11 (01): : 121 - 127
  • [3] New Bounds for the Modified Bessel Function of the First Kind and Toader-Qi Mean
    Zhu, Ling
    MATHEMATICS, 2021, 9 (22)
  • [4] New Sharp Bounds for the Modified Bessel Function of the First Kind and Toader-Qi Mean
    Yang, Zhen-Hang
    Tian, Jing-Feng
    Zhu, Ya-Ru
    MATHEMATICS, 2020, 8 (06)
  • [5] On Inequalities for the Exponential and Logarithmic Functions and Means
    Guo, Bai-Ni
    Qi, Feng
    MALAYSIAN JOURNAL OF MATHEMATICAL SCIENCES, 2016, 10 (01): : 23 - 34
  • [6] ON NEW SHARP BOUNDS FOR THE TOADER-QI MEAN INVOLVED IN THE MODIFIED BESSEL FUNCTIONS OF THE FIRST KIND
    Li, Cen
    Liu, Zhi-Ming
    Zheng, Shen-Zhou
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2022, 16 (02): : 609 - 628
  • [7] SHARP INEQUALITIES INVOLVING NEUMAN-SANDOR AND LOGARITHMIC MEANS
    Neuman, Edward
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2013, 7 (03): : 413 - 419
  • [8] Inequalities involving Mellin transform, integral mean, exponential and logarithmic mean
    Aljinovic, A. Aglic
    ANNALS OF THE UNIVERSITY OF CRAIOVA-MATHEMATICS AND COMPUTER SCIENCE SERIES, 2012, 39 (02): : 277 - 287
  • [9] A CHAIN OF EIGHT INEQUALITIES INVOLVING MEANS OF TWO ARGUMENTS
    Mestrovic, Romeo
    TEACHING OF MATHEMATICS, 2024, 27 (01): : 27 - 32
  • [10] SOME NEW INEQUALITIES INVOLVING HEINZ OPERATOR MEANS
    Ghazanfari, A. G.
    Malekinejad, S.
    Talebi, S.
    JOURNAL OF MATHEMATICAL ANALYSIS, 2016, 7 (05): : 147 - 155
123