Some Grüss-type inequalities using generalized Katugampola fractional integral

Tariq A. Aljaaidi; Deepak B. Pachpatte; Tariq A. Aljaaidi; Deepak B. Pachpatte

doi:10.3934/math.2020070

AIMS Mathematics

2020, Volume 5, Issue 2: 1011-1024. doi: 10.3934/math.2020070

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Research article

Some Grüss-type inequalities using generalized Katugampola fractional integral

Department of Mathematics Dr. Babasaheb Ambedkar Marathwada University Aurangabad-431004, India

Received: 14 November 2019 Accepted: 30 December 2019 Published: 09 January 2020
MSC : 26A33, 26D10

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.
- Grüss inequality,
- generalized fractional integral
Citation: Tariq A. Aljaaidi, Deepak B. Pachpatte. Some Grüss-type inequalities using generalized Katugampola fractional integral[J]. AIMS Mathematics, 2020, 5(2): 1011-1024. doi: 10.3934/math.2020070

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Abstract

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.

References

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