On Grüss inequalities within generalized K-fractional integrals

On Grüss inequalities within generalized K-fractional integrals

Abstract In this paper, we introduce the generalized K $\mathcal{K}$ -fractional integral in the frame of a new parameter K > 0 $\mathcal{K}>0$ . This paper offers some new important inequalities of Grüss type using the generalized K $\mathcal{K}$ -fractional integral and associated integral i...

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Main Authors: Saima Rashid, Fahd Jarad, Muhammad Aslam Noor, Khalida Inayat Noor, Dumitru Baleanu, Jia-Bao Liu
Format: Article
Language:English
Published: SpringerOpen 2020-05-01
Series:Advances in Difference Equations
Subjects:
Grüss inequality
Generalized K $\mathcal{K}$ -fractional integral
Integral inequality
Online Access:http://link.springer.com/article/10.1186/s13662-020-02644-7
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spelling doaj-afaac3625ea040c98ba81214ba46438c2020-11-25T03:45:59ZengSpringerOpenAdvances in Difference Equations1687-18472020-05-012020111810.1186/s13662-020-02644-7On Grüss inequalities within generalized K-fractional integralsSaima Rashid0Fahd Jarad1Muhammad Aslam Noor2Khalida Inayat Noor3Dumitru Baleanu4Jia-Bao Liu5Department of Mathematics, Government College UniversityDepartment of Mathematics, Cankaya UniversityDepartment of Mathematics, COMSATS University IslamabadDepartment of Mathematics, COMSATS University IslamabadDepartment of Mathematics, Cankaya UniversitySchool of Mathematics and Physics, Anhui Jianzhu UniversityAbstract In this paper, we introduce the generalized K $\mathcal{K}$ -fractional integral in the frame of a new parameter K > 0 $\mathcal{K}>0$ . This paper offers some new important inequalities of Grüss type using the generalized K $\mathcal{K}$ -fractional integral and associated integral inequalities. Our results with this new integral operator have the abilities to be implemented for the evaluation of many mathematical problems related to the real world applications.http://link.springer.com/article/10.1186/s13662-020-02644-7Grüss inequalityGeneralized K $\mathcal{K}$ -fractional integralIntegral inequality
collection DOAJ
language English
format Article
sources DOAJ
author Saima Rashid
Fahd Jarad
Muhammad Aslam Noor
Khalida Inayat Noor
Dumitru Baleanu
Jia-Bao Liu
spellingShingle Saima Rashid
Fahd Jarad
Muhammad Aslam Noor
Khalida Inayat Noor
Dumitru Baleanu
Jia-Bao Liu
On Grüss inequalities within generalized K-fractional integrals
Advances in Difference Equations
Grüss inequality
Generalized K $\mathcal{K}$ -fractional integral
Integral inequality
author_facet Saima Rashid
Fahd Jarad
Muhammad Aslam Noor
Khalida Inayat Noor
Dumitru Baleanu
Jia-Bao Liu
author_sort Saima Rashid
title On Grüss inequalities within generalized K-fractional integrals
title_short On Grüss inequalities within generalized K-fractional integrals
title_full On Grüss inequalities within generalized K-fractional integrals
title_fullStr On Grüss inequalities within generalized K-fractional integrals
title_full_unstemmed On Grüss inequalities within generalized K-fractional integrals
title_sort on grüss inequalities within generalized k-fractional integrals
publisher SpringerOpen
series Advances in Difference Equations
issn 1687-1847
publishDate 2020-05-01
description Abstract In this paper, we introduce the generalized K $\mathcal{K}$ -fractional integral in the frame of a new parameter K > 0 $\mathcal{K}>0$ . This paper offers some new important inequalities of Grüss type using the generalized K $\mathcal{K}$ -fractional integral and associated integral inequalities. Our results with this new integral operator have the abilities to be implemented for the evaluation of many mathematical problems related to the real world applications.
topic Grüss inequality
Generalized K $\mathcal{K}$ -fractional integral
Integral inequality
url http://link.springer.com/article/10.1186/s13662-020-02644-7
work_keys_str_mv AT saimarashid ongrussinequalitieswithingeneralizedkfractionalintegrals
AT fahdjarad ongrussinequalitieswithingeneralizedkfractionalintegrals
AT muhammadaslamnoor ongrussinequalitieswithingeneralizedkfractionalintegrals
AT khalidainayatnoor ongrussinequalitieswithingeneralizedkfractionalintegrals
AT dumitrubaleanu ongrussinequalitieswithingeneralizedkfractionalintegrals
AT jiabaoliu ongrussinequalitieswithingeneralizedkfractionalintegrals
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