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Some generalized fractional integral Simpson’s type inequalities with applications
- Source :
- AIMS Mathematics, Vol 5, Iss 6, Pp 5859-5883 (2020)
- Publication Year :
- 2020
- Publisher :
- AIMS Press, 2020.
-
Abstract
- In the article, we establish a Simpson-type generalized identity containing multi-parameters and derive some new estimates for the generalized Simpson's quadrature rule via the Raina fractional integrals. As applications, we provide several inequalities for the f -divergence measures and probability density functions.
- Subjects :
- Pure mathematics
fractional integral
Inequality
General Mathematics
media_common.quotation_subject
Cumulative distribution function
lcsh:Mathematics
Probability density function
lcsh:QA1-939
Identity (mathematics)
symbols.namesake
simpson’s inequality
symbols
f -divergence measure
Gaussian quadrature
cumulative distribution function
Divergence (statistics)
Mathematics
media_common
Subjects
Details
- Language :
- English
- ISSN :
- 24736988
- Volume :
- 5
- Issue :
- 6
- Database :
- OpenAIRE
- Journal :
- AIMS Mathematics
- Accession number :
- edsair.doi.dedup.....e1bc006e855c8f31ab2198d476a197c7