The Choquet integral of log-convex functions
(چکیده مقاله) :
Abstract :
In this paper we investigate the upper bound and the lower bound of the Choquet
integral for log-convex functions. Firstly, for a monotone log-convex function, we
state the similar Hadamard inequality of the Choquet integral in the framework of
distorted measure. Secondly, we estimate the upper bound of the Choquet integral
for a general log-convex function, respectively, in the case of distorted Lebesgue
measure and in the non-additive measure. Finally, we present Jensen’s inequality of
the Choquet integral for log-convex functions, which can be used to estimate the
lower bound of this kind when the non-additive measure is concave. We provide
some examples in the framework of the distorted Lebesgue measure to illustrate all
the results.
integral for log-convex functions. Firstly, for a monotone log-convex function, we
state the similar Hadamard inequality of the Choquet integral in the framework of
distorted measure. Secondly, we estimate the upper bound of the Choquet integral
for a general log-convex function, respectively, in the case of distorted Lebesgue
measure and in the non-additive measure. Finally, we present Jensen’s inequality of
the Choquet integral for log-convex functions, which can be used to estimate the
lower bound of this kind when the non-additive measure is concave. We provide
some examples in the framework of the distorted Lebesgue measure to illustrate all
the results.
(توضیحات تکمیلی) :
(توضیحات تکمیلی) :
Description :
مقاله ISI انگلیسی اصلی
سال انتشار:2018
فایل ISI انگلیسی اصلی ، با فرمت Pdf
تعداد صفحات فایل ISI انگلیسی اصلی: 17 صفحه
سال انتشار:2018
فایل ISI انگلیسی اصلی ، با فرمت Pdf
تعداد صفحات فایل ISI انگلیسی اصلی: 17 صفحه
Authors / Descriptions(نویسندگان/توضیحات): مقاله ISI سال انتشار2018 \ Hongxia Wang
Sent date(تاریخ ارسال) :
1397/11/30 | 2/19/2019
Number of visits(تعداد بازدید):
673
Key words (کلمات کلیدی):
Choquet integral; Log-convex function; Inequality
Number of pages(تعداد صفحات) :
17
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