SOME REFINEMENTS OF CLASSICAL INEQUALITIES

被引：10
|
作者：
Furuichi, Shigeru [1 ]
Moradi, Hamid Reza [2 ]
机构：
[1] Nihon Univ, Dept Informat Sci, Coll Humanities & Sci, Setagaya Ku, 3-25-40 Sakurajyousui, Tokyo 1568550, Japan
[2] PNU, Dept Math, POB 19395-4697, Tehran, Iran
来源：
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2018年 / 48卷 / 07期
关键词：
Operator inequality; Hermite-Hadamard inequality; Young inequality; Heron mean; REVERSE YOUNG;
D O I：
10.1216/RMJ-2018-48-7-2289
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give some new refinements and reverses of Young inequalities in both additive and multiplicative-type for two positive numbers/operators. We show our advantages by comparing with known results. A few applications are also given. Some results relevant to the Heron mean are also considered.
引用
收藏
页码：2289 / 2309
页数：21
相关论文
共 50 条
  • [1] NEW REFINEMENTS OF SOME CLASSICAL INEQUALITIES
    Marghidanu, D.
    Diaz-Barrero, J. L.
    Radulescu, S.
    [J]. MATHEMATICAL INEQUALITIES & APPLICATIONS, 2009, 12 (03): : 513 - 518
  • [2] Refinements of some classical inequalities via superquadraticity
    Nikolova, Ludmila
    Persson, Lars-Erik
    Varosanec, Sanja
    Yimer, Markos Fisseha
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2022, 2022 (01)
  • [3] REFINEMENTS OF SOME CLASSICAL INEQUALITIES ON TIME SCALES
    Bibi, Rabia
    [J]. MATHEMATICAL INEQUALITIES & APPLICATIONS, 2022, 25 (01): : 251 - 260
  • [4] Superquadratic functions and refinements of some classical inequalities
    Banic, Senka
    Pecaric, Josip
    Varosanec, Sanja
    [J]. JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2008, 45 (02) : 513 - 525
  • [5] Refinements of some classical inequalities via superquadraticity
    Ludmila Nikolova
    Lars-Erik Persson
    Sanja Varošanec
    Markos Fisseha Yimer
    [J]. Journal of Inequalities and Applications, 2022
  • [6] Refinements of Some Classical Inequalities Involving Sinc and Hyperbolic Sinc Functions
    Bagul, Yogesh J. J.
    Thool, Sumedh B. B.
    Chesneau, Christophe
    Dhaigude, Ramkrishna M. M.
    [J]. ANNALES MATHEMATICAE SILESIANAE, 2023, 37 (01) : 1 - 15
  • [7] New refinements of some classical inequalities via Young's inequality
    Ighachane, Mohamed Amine
    Kittaneh, Fuad
    Taki, Zakaria
    [J]. ADVANCES IN OPERATOR THEORY, 2024, 9 (03)
  • [8] Some refinements of inequalities for polynomials
    Kumar, Prasanna
    Dhankhar, Ritu
    [J]. BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE, 2020, 63 (04): : 359 - 367
  • [9] SOME REFINEMENTS OF THE HEINZ INEQUALITIES
    Xue, Jianming
    [J]. ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2015, (34): : 291 - 298
  • [10] ON REFINEMENTS OF SOME INTEGRAL INEQUALITIES
    Bekar, Kerim
    [J]. TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, 2021, 11 (01): : 184 - 193
12345