Optimal bounds of classical and non-classical means in terms of Q means

被引：3
|
作者：
Nowicka, Monika [1 ]
Witkowski, Alfred [2 ]
机构：
[1] UTP Univ Sci & Technol, Inst Math & Phys, Al Prof Kaliskiego 7, PL-85796 Bydgoszcz, Poland
[2] AUDoMAT, Ul Mielczarskiego 4-29, PL-85796 Bydgoszcz, Poland
来源：
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2022年 / 116卷 / 01期
关键词：
Classical means; Seiffert function; Q mean; INEQUALITIES;
D O I：
10.1007/s13398-021-01145-w
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show optimal bounds of the form Q(alpha) < M < Q(beta), where Q(alpha)(x, y) = A( x, y) A(2)( x, y)/(1 - alpha)A(2)(x, y) + alpha G(2) (x, y) and M belongs to a broad class of classical homogeneous, symmetric means of two variables.
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页数：12
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