Simpson's Type Integral Inequalities for Κ-Fractional Integrals and Their Applications
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Date
2019
Journal Title
Journal ISSN
Volume Title
Publisher
Amer inst Mathematical Sciences-aims
Open Access Color
GOLD
Green Open Access
No
OpenAIRE Downloads
OpenAIRE Views
Publicly Funded
No
Abstract
In this paper, some new inequalities of Simpson's type are set up for the classes of functions whose derivatives of absolute are preinvex by means of kappa-fractional integrals. Additionally, by extraordinary choices of n and kappa, we give some diminished outcomes. Meanwhile, we also provide the inequalities for F-divergence measures and in probabilistic versions.
Description
Keywords
Simpson'S Type Inequality, S-Preinvex Functions, Kappa-Fractional Integrals, s-preinvex functions, <i>ĸ</i>-fractional integrals, QA1-939, Simpson's type inequality, Simpson’s type inequality, Mathematics, kappa-fractional integrals
Fields of Science
0202 electrical engineering, electronic engineering, information engineering, 02 engineering and technology, 0101 mathematics, 01 natural sciences
Citation
Rashid, Saima...et al. (2019). "Simpson's type integral inequalities for kappa-fractional integrals and their applications", Amer Inst Mathematical Sciences-AIMS, Vol. 4, No. 4, pp. 1087-1100.
WoS Q
Q1
Scopus Q
Q1

OpenCitations Citation Count
34
Source
AIMS Mathematics
Volume
4
Issue
4
Start Page
1087
End Page
1100
PlumX Metrics
Citations
Scopus : 41
Captures
Mendeley Readers : 3
Web of Science™ Citations
41
checked on Feb 24, 2026
Page Views
2
checked on Feb 24, 2026
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