Hermite-Hadamard Type Inequalities Via Fractional Integral of a Function Concerning Another Function
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Date
2021
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Volume Title
Publisher
Amer inst Mathematical Sciences-aims
Open Access Color
GOLD
Green Open Access
No
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Abstract
In this paper, we at first develop a generalized integral identity by associating RiemannLiouville (RL) fractional integral of a function concerning another function. By using this identity estimates for various convexities are accomplish which are fractional integral inequalities. From our results, we obtained bounds of known fractional results which are discussed in detail. As applications of the derived results, we obtain the mid-point-type inequalities. These outcomes might be helpful in the investigation of the uniqueness of partial differential equations and fractional boundary value problems.
Description
Zahida, Dr Zahida Perveen/0009-0002-6040-5619; Rahman, Gauhar/0000-0002-2728-7537
Keywords
Hermite-Hadamard-Fejer Inequalities, Convex Function, Generalized Fractional Integral, Mid-Point Inequality, Riemann-Liouville, Evolutionary biology, Matrix Inequalities and Geometric Means, Mathematical analysis, riemann-liouville, Orthogonal Polynomials, Fractional Integrals, Riemann integral, QA1-939, FOS: Mathematics, Fourier integral operator, Boundary value problem, Biology, generalized fractional integral, Anomalous Diffusion Modeling and Analysis, Hadamard transform, Integral equation, convex function, Hermite polynomials, Ecology, Applied Mathematics, Physics, mid-point inequality, Fractional calculus, Pure mathematics, Acoustics, Applied mathematics, Fractional Derivatives, Identity (music), Function (biology), Modeling and Simulation, FOS: Biological sciences, hermite-hadamard-fejer inequalities, Physical Sciences, Fractional Calculus, Uniqueness, Hermite-Hadamard Inequalities, Type (biology), Mathematics, Riemann-Hilbert Approach, Convexity of real functions in one variable, generalizations, Riemann-Liouville, Fractional derivatives and integrals, Hermite-Hadamard-Fejer inequalities, Inequalities involving derivatives and differential and integral operators, Inequalities for sums, series and integrals, Inequalities involving other types of functions
Turkish CoHE Thesis Center URL
Fields of Science
01 natural sciences, 0101 mathematics
Citation
Baleanu, Dumitru...et al. (2021). "Hermite-Hadamard-Fejer type inequalities via fractional integral of a function concerning another function", AIMS Mathematics, Vol. 6, No. 5, pp. 4280-4295.
WoS Q
Q1
Scopus Q
Q1
OpenCitations Citation Count
10
Source
AIMS Mathematics
Volume
6
Issue
5
Start Page
4280
End Page
4295
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Scopus : 14
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SCOPUS™ Citations
14
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Web of Science™ Citations
13
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1
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