Some Grüss-type inequalities using generalized Katugampola fractional integral

The main objective of this paper is to obtain a generalization of some Grüss-type inequalities in case of functional bounds by using a generalized Katugampola fractional integral. We obtained new Grüss type inequalitys with functional bounds via the generalized fractional integral operators having s...

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Bibliographic Details
Published inAIMS mathematics Vol. 5; no. 2; pp. 1011 - 1024
Main Authors A. Aljaaidi, Tariq, B. Pachpatte, Deepak
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2020
Subjects
generalized fractional integral
grüss inequality
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ISSN2473-6988
2473-6988
DOI10.3934/math.2020070

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Summary:The main objective of this paper is to obtain a generalization of some Grüss-type inequalities in case of functional bounds by using a generalized Katugampola fractional integral. We obtained new Grüss type inequalitys with functional bounds via the generalized fractional integral operators having same and different parameters. Results obtained are more generalized in nature.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2020070