Sharp Bounds for a Generalized Logarithmic Operator Mean and Heinz Operator Mean by Weighted Ones of Classical Operator Ones

In this paper, using a criteria for the monotonicity of the quotient of two power series, we present some sharp bounds for a generalized logarithmic operator mean and Heinz operator mean by weighted ones of classical operator ones.

التفاصيل البيبلوغرافية
المؤلف الرئيسي: Ling Zhu
التنسيق: مقال
اللغة:English
منشور في: MDPI AG 2022-05-01
سلاسل:Mathematics
الموضوعات:
الوصول للمادة أونلاين:https://www.mdpi.com/2227-7390/10/10/1617
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author Ling Zhu
author_facet Ling Zhu
author_sort Ling Zhu
collection DOAJ
description In this paper, using a criteria for the monotonicity of the quotient of two power series, we present some sharp bounds for a generalized logarithmic operator mean and Heinz operator mean by weighted ones of classical operator ones.
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spelling doaj.art-b3449d49d4cc43d48e2d901b53b1c7472023-11-23T11:59:55ZengMDPI AGMathematics2227-73902022-05-011010161710.3390/math10101617Sharp Bounds for a Generalized Logarithmic Operator Mean and Heinz Operator Mean by Weighted Ones of Classical Operator OnesLing Zhu0Department of Mathematics, Zhejiang Gongshang University, Hangzhou 310018, ChinaIn this paper, using a criteria for the monotonicity of the quotient of two power series, we present some sharp bounds for a generalized logarithmic operator mean and Heinz operator mean by weighted ones of classical operator ones.https://www.mdpi.com/2227-7390/10/10/1617boundscriteria for the monotonicity of quotient of two power seriesa generalized logarithmic operator meanHeinz operator meanHeron operator meanclassical operator means
spellingShingle Ling Zhu
Sharp Bounds for a Generalized Logarithmic Operator Mean and Heinz Operator Mean by Weighted Ones of Classical Operator Ones
Mathematics
bounds
criteria for the monotonicity of quotient of two power series
a generalized logarithmic operator mean
Heinz operator mean
Heron operator mean
classical operator means
title Sharp Bounds for a Generalized Logarithmic Operator Mean and Heinz Operator Mean by Weighted Ones of Classical Operator Ones
title_full Sharp Bounds for a Generalized Logarithmic Operator Mean and Heinz Operator Mean by Weighted Ones of Classical Operator Ones
title_fullStr Sharp Bounds for a Generalized Logarithmic Operator Mean and Heinz Operator Mean by Weighted Ones of Classical Operator Ones
title_full_unstemmed Sharp Bounds for a Generalized Logarithmic Operator Mean and Heinz Operator Mean by Weighted Ones of Classical Operator Ones
title_short Sharp Bounds for a Generalized Logarithmic Operator Mean and Heinz Operator Mean by Weighted Ones of Classical Operator Ones
title_sort sharp bounds for a generalized logarithmic operator mean and heinz operator mean by weighted ones of classical operator ones
topic bounds
criteria for the monotonicity of quotient of two power series
a generalized logarithmic operator mean
Heinz operator mean
Heron operator mean
classical operator means
url https://www.mdpi.com/2227-7390/10/10/1617
work_keys_str_mv AT lingzhu sharpboundsforageneralizedlogarithmicoperatormeanandheinzoperatormeanbyweightedonesofclassicaloperatorones