Hermite-Hadamard Type Inequalities for Interval-Valued Preinvex Functions Via Fractional Integral Operators
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Date
2022
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Springernature
Open Access Color
GOLD
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Abstract
In this article, the notion of interval-valued preinvex functions involving the Riemann-Liouville fractional integral is described. By applying this, some new refinements of the Hermite-Hadamard inequality for the fractional integral operator are presented. Some novel special cases of the presented results are discussed as well. Also, some examples are presented to validate our results. The established outcomes of our article may open another direction for different types of integral inequalities for fractional interval-valued functions, fuzzy interval-valued functions, and their associated optimization problems.
Description
Mohammed, Pshtiwan/0000-0001-6837-8075; Srivastava, Hari M./0000-0002-9277-8092
Keywords
H-H Inequalities, Preinvex Functions, Interval-Valued Functions, R-L Fractional Integral, Fractional Integral Inequalities, Interval (graph theory), Social Sciences, Convex Functions, Multi-Criteria Decision Making, Management Science and Operations Research, Operator (biology), Matrix Inequalities and Geometric Means, Mathematical analysis, Biochemistry, Gene, Decision Sciences, Fractional Integrals, Riemann integral, FOS: Mathematics, Fourier integral operator, Biology, Hadamard transform, Hermite polynomials, Ecology, Applied Mathematics, Fractional calculus, Pure mathematics, Operator theory, Iterative Algorithms for Nonlinear Operators and Optimization, Applied mathematics, Chemistry, Computational Theory and Mathematics, Inequality, Combinatorics, FOS: Biological sciences, Physical Sciences, Computer Science, Repressor, Hermite-Hadamard Inequalities, Transcription factor, Type (biology), Mathematics
Turkish CoHE Thesis Center URL
Fields of Science
02 engineering and technology, 01 natural sciences, 0202 electrical engineering, electronic engineering, information engineering, 0101 mathematics
Citation
Srivastava, Hari Mohan;...et.al. (2022). "Hermite–Hadamard Type Inequalities for Interval-Valued Preinvex Functions via Fractional Integral Operators", International Journal of Computational Intelligence Systems, Vol.15, No.1.
WoS Q
Q2
Scopus Q
Q2
OpenCitations Citation Count
36
Source
International Journal of Computational Intelligence Systems
Volume
15
Issue
1
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CrossRef : 11
Scopus : 49
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49
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47
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2
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