Fractional Integral Inequalities for Exponentially Nonconvex Functions and Their Applications
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Date
2021
Journal Title
Journal ISSN
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Publisher
Mdpi
Open Access Color
GOLD
Green Open Access
No
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No
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Top 10%
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Top 10%
Abstract
In this paper, the authors define a new generic class of functions involving a certain modified Fox-Wright function. A useful identity using fractional integrals and this modified Fox-Wright function with two parameters is also found. Applying this as an auxiliary result, we establish some Hermite-Hadamard-type integral inequalities by using the above-mentioned class of functions. Some special cases are derived with relevant details. Moreover, in order to show the efficiency of our main results, an application for error estimation is obtained as well.
Description
Srivastava, Hari M./0000-0002-9277-8092; Mohammed, Pshtiwan/0000-0001-6837-8075; Kashuri, Artion/0000-0003-0115-3079; Hamed, Y. S./0000-0002-0365-0282
Keywords
Hermite-Hadamard Inequality, Exponentially Nonconvex Function, Modified Fox-Wright Function, Fractional Integrals, Error Estimation, Artificial intelligence, Class (philosophy), Economics, fractional integrals, Evolutionary biology, Convex Functions, Matrix Inequalities and Geometric Means, Mathematical analysis, Orthogonal Polynomials, Fractional Integrals, exponentially nonconvex function, QA1-939, FOS: Mathematics, Biology, Anomalous Diffusion Modeling and Analysis, Hadamard transform, Order (exchange), QA299.6-433, Applied Mathematics, Physics, Pure mathematics, Wright, Acoustics, Applied mathematics, Computer science, Programming language, Hermite–Hadamard inequality, Fractional Derivatives, Identity (music), Function (biology), error estimation, Modeling and Simulation, Physical Sciences, Thermodynamics, Fractional Calculus, QC310.15-319, Hermite-Hadamard Inequalities, modified Fox–Wright function, Analysis, Mathematics, Monotonic function, Finance
Fields of Science
01 natural sciences, 0101 mathematics
Citation
Srivastava, Hari Mohan...et al. (2021). "Fractional integral inequalities for exponentially nonconvex functions and their applications", Fractal and Fractional, Vol. 5, No. 3.
WoS Q
Q1
Scopus Q
Q1
OpenCitations Citation Count
7
Source
Fractal and Fractional
Volume
5
Issue
3
Start Page
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Citations
CrossRef : 7
Scopus : 7
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