Jensen-type inequalities for Sugeno integral

设为首页

收藏本站

网站地图 | English | 公务邮箱

About the library

Background
History
Leadership
Organization

Readers' Guide

Opening Hours
Collections
Help Via Email

Publications

Electronic Information Resources

Jensen-type inequalities for Sugeno integral

详细信息查看全文

作者：Sadegh Abbaszadeh^a ; ^{abbaszadeh@semnan.ac.ir" class="auth_mail" title="E-mail the corresponding author} ; Madjid Eshaghi Gordji^a ; ^{meshaghi@semnan.ac.ir" class="auth_mail" title="E-mail the corresponding author} ; Endre Pap ; ^b ; ^c ; ^{pape@eunet.rs" class="auth_mail" title="E-mail the corresponding author} ; ^{epap@singidunum.ac.rs" class="auth_mail" title="E-mail the corresponding author} ; Anik&oacute ; Szak&aacute ; l^c ; ^{szakal@bmf.hu" class="auth_mail" title="E-mail the corresponding author}
关键词：Sugeno integral ; The Jensen inequality ; Concave function ; Supergradient ; Superdifferential
刊名：Information Sciences
出版年：2017
出版时间：10 January 2017
年：2017
卷：376
期：Complete
页码：148-157
全文大小：387 K

文摘

In this paper, the classical Jensen inequalities for concave function φ, i.e.,

class="formula" id="ueq0001">

class="mathml">class="mathmlsrc">class="mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0020025516311537&_mathId=si1.gif&_user=111111111&_pii=S0020025516311537&_rdoc=1&_issn=00200255&md5=a4367ff3a6486d25a4c96a42c7650173">class="imgLazyJSB inlineImage" height="56" width="527" alt="View the MathML source" title="View the MathML source" src="/sd/grey_pxl.gif" data-inlimgeid="1-s2.0-S0020025516311537-si1.gif">

class="mathContainer hidden">class="mathCode">

\begin{matrix} φ (\int f (x) ace width="0.16em"> ace> d μ) ⩾ \int φ (f) ace width="0.16em"> ace> d μ ace width="14.22636pt"> ace> and ace width="14.22636pt"> ace> φ (\sum_{i = 1}^{n} λ_{i} x_{i}) ⩾ \sum_{i = 1}^{n} λ_{i} φ (x_{i}), \end{matrix}

class="temp" src="/sd/blank.gif">

are adapted for the Sugeno integral using the notion of the supergradient. Moreover, we give some modifications of previous results of Román-Flores et al. concerning Jensen-type inequalities for Sugeno integral. Some examples in the framework of the Lebesgue measure and counting measure to illustrate the results are presented.