REFINEMENTS OF SOME INEQUALITIES INVOLVING MEANS

被引：0

作者：

Mortici, Cristinel ^{[1
,2
,3
]}

Giugiuc, Leonard ^{[4
]}

机构：

[1] Valahia Univ Targoviste, Dept Math, Targoviste, Romania

[2] Univ Politehn Bucuresti, Bucharest, Romania

[3] Acad Romanian Scientists, Bucharest, Romania

[4] Colegiul Natl Traian, Drobeta Turnu Severin, Romania

来源：

APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS | 2024年 / 18卷 / 02期

关键词：

Keywords and Phrases. AM-GM-HM inequality; sharp constants;

D O I：

10.2298/AADM240419018M

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this work is to give some sharp refinements of some inequalities involving the arithmetic, geometric and harmonic means. We use the Equal Variable Theorem (EV Theorem). Our method can be applied to a wide class of inequalities.

引用

页码：543 / 550

页数：8

共 50 条

[1] Some inequalities involving means and their converses
Wang, WL
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1999, 238 (02) : 567 - 579
[2] Further Refinements of Some Inequalities Involving Unitarily Invariant Norm
Yang, Chaojun
Lu, Fangyan
FILOMAT, 2018, 32 (10) : 3541 - 3548
[3] New Refinements of Some Inequalities Involving Relative Operator Entropy
Soleimani, S.
Ghazanfari, A. G.
COMPLEX ANALYSIS AND OPERATOR THEORY, 2019, 13 (07) : 3337 - 3345
[4] New Refinements of Some Inequalities Involving Relative Operator Entropy
S. Soleimani
A. G. Ghazanfari
Complex Analysis and Operator Theory, 2019, 13 : 3337 - 3345
[5] 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.
ANNALES MATHEMATICAE SILESIANAE, 2023, 37 (01) : 1 - 15
[6] Some refinements of well-known inequalities involving trigonometric functions
Chouikha, Abd Raouf
Chesneau, Christophe
Bagul, Yogesh J.
JOURNAL OF THE RAMANUJAN MATHEMATICAL SOCIETY, 2021, 36 (03) : 193 - 202
[7] On some refinements for inequalities involving zero-balanced hypergeometric function
Zhao, Tie-Hong
He, Zai-Yin
Chu, Yu-Ming
AIMS MATHEMATICS, 2020, 5 (06): : 6479 - 6495
[8] NEW REFINEMENTS OF TWO INEQUALITIES FOR MEANS
Sandor, Jozsef
JOURNAL OF MATHEMATICAL INEQUALITIES, 2013, 7 (02): : 251 - 254
[9] Some inequalities involving quadratic forms of operator means
Raissouli, Mustapha
LINEAR & MULTILINEAR ALGEBRA, 2019, 67 (02): : 213 - 220
[10] Refinements of some inequalities involving Berezin norms and Berezin number and related questions
Garayev M.
Guesba M.
ANNALI DELL'UNIVERSITA' DI FERRARA, 2024, 70 (2) : 381 - 403

← 1 2 3 4 5 →