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Refinements of Ostrowski Type Integral Inequalities Involving Atangana–Baleanu Fractional Integral Operator
- Source :
- Symmetry, Volume 13, Issue 11, Symmetry, Vol 13, Iss 2059, p 2059 (2021)
- Publication Year :
- 2021
- Publisher :
- Multidisciplinary Digital Publishing Institute, 2021.
-
Abstract
- In this article, first, we deduce an equality involving the Atangana–Baleanu (AB)-fractional integral operator. Next, employing this equality, we present some novel generalization of Ostrowski type inequality using the Hölder inequality, the power-mean inequality, Young’s inequality, and the Jensen integral inequality for the convexity of |Υ|. We also deduced some new special cases from the main results. There exists a solid connection between fractional operators and convexity because of their fascinating properties in the mathematical sciences. Scientific inequalities of this nature and, particularly, the methods included have applications in different fields in which symmetry plays a notable role. It is assumed that the results presented in this article will show new directions in the field of fractional calculus.
- Subjects :
- Hölder's inequality
convex function
Young's inequality
Pure mathematics
Physics and Astronomy (miscellaneous)
Young’s inequality
Generalization
General Mathematics
Hölder inequality
MathematicsofComputing_GENERAL
Atangana–Baleanu fractional integral operator
Field (mathematics)
Computer Science::Digital Libraries
Convexity
Fractional calculus
Operator (computer programming)
Chemistry (miscellaneous)
QA1-939
Computer Science (miscellaneous)
Computer Science::Programming Languages
Ostrowski inequality
Convex function
power mean inequality
Mathematics
Subjects
Details
- Language :
- English
- ISSN :
- 20738994
- Database :
- OpenAIRE
- Journal :
- Symmetry
- Accession number :
- edsair.doi.dedup.....576ebd4edeba96cc061c57b0c3ed1264
- Full Text :
- https://doi.org/10.3390/sym13112059