JENSEN TYPE INEQUALITIES AND THEIR APPLICATIONS VIA FRACTIONAL INTEGRALS

Abbaszadeh Sadegh; Ebadian Ali; Jaddi Mohsen

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JENSEN TYPE INEQUALITIES AND THEIR APPLICATIONS VIA FRACTIONAL INTEGRALS

机译：Jensen通过分数积分键入不等式及其应用程序

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摘要

The present paper is devoted to the study of Jensen type inequalities for fractional integration on finite subintervals of the real axis. The complete form of Jensen's inequality and the generalized Jensen's inequality are investigated by using the Chebyshev inequality. As applications, some new integral inequalities, including Holder's and Minkowski's inequalities, are obtained by using Jensen's inequality via Riemann-Liouville fractional integrals.

机译：本文致力于研究了真实轴的有限子场的分数整合的Jensen型不等式。利用Chebyshev不平等，调查了Jensen的不平等和广泛的Jensen的不平等的完整形式。作为应用程序，通过使用Jensen-Liouville Fractional Integlats使用Jensen的不平等，获得了一些新的整体不平等，包括持有人和Minkowski的不等式。

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来源
《The Rocky Mountain journal of mathematics》 |2018年第8期|共30页
作者
Abbaszadeh Sadegh; Ebadian Ali; Jaddi Mohsen;
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作者单位

Paderborn Univ Dept Comp Sci Paderborn Germany;

Urmia Univ Dept Math Fac Sci Orumiyeh Iran;

Payame Noor Univ Dept Math POB 19395-4697 Tehran Iran;

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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
Riemann-Liouville fractional integrals; Jensen's inequality; Holder's inequality; Minkowski's inequality;

机译：riemann-liouville分数积分;jensen的不平等;持有人的不平等;Minkowski的不平等;

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专利

1. JENSEN TYPE INEQUALITIES AND THEIR APPLICATIONS VIA FRACTIONAL INTEGRALS [J] . Abbaszadeh Sadegh, Ebadian Ali, Jaddi Mohsen The Rocky Mountain journal of mathematics . 2018,第8期

机译：Jensen通过分数积分键入不等式及其应用程序
2. New Hermite–Jensen–Mercer-type inequalities via k -fractional integrals [J] . Butt Saad Ihsan, Umar Muhammad, Rashid Saima, Advances in Difference Equations . 2020,第a期

机译：新的Hermite-Jensen-Mercer型通过K-quactional积分型不等式
3. VARIANCE JENSEN TYPE INEQUALITIES FOR GENERAL LEBESGUE INTEGRAL WITH APPLICATIONS [J] . Silvestru S. Dragomir Real analysis exchange . 2017,第1期

机译：一般Lebesgue积分的方差Jenseen型不等式及其应用
4. Holder Type Inequality and Jensen Type Inequality for Choquet Integral [C] . Xuan Zhao, Qiang Zhang Knowledge engineering and management . 2011

机译：Choquet积分的Holder类型不等式和Jensen类型不等式
5. Identities, inequalities, Parseval type relations for integral transforms and fractional integrals [D] . Yurekli, Osman 1988

机译：积分变换和分数积分的恒等式，不等式，Parseval类型关系
6. Improvements of Jensen-Type Inequalities for Diamond-α Integrals [O] . Rabia Bibi, Josip Pečarić, Mirna Rodić Lipanović 2014

机译：Diamondα积分的Jensen型不等式的改进
7. New Hermite–Jensen–Mercer-type inequalities via k-fractional integrals [O] . Saad Ihsan Butt, Muhammad Umar, Saima Rashid, 2020

机译：新的Hermite-Jensen-Mercer型通过K-Fractional Integrats型不等式

JENSEN TYPE INEQUALITIES AND THEIR APPLICATIONS VIA FRACTIONAL INTEGRALS

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