New Fractional Inequalities of Hermite-Hadamard Type Involving the Incomplete Gamma Functions
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Abstract
A specific type of convex functions is discussed. By examining this, we investigate new Hermite-Hadamard type integral inequalities for the Riemann-Liouville fractional operators involving the generalized incomplete gamma functions. Finally, we expose some examples of special functions to support the usefulness and effectiveness of our results.
Description
Mohammed, Pshtiwan/0000-0001-6837-8075; Abdeljawad, Thabet/0000-0002-8889-3768; Agarwal, Praveen/0000-0001-7556-8942; Hamasalh, Faraidun/0000-0001-8437-9043
Keywords
Riemann–, Liouville Fractional Integral, Hermite–, Hadamard Inequality, Incomplete Gamma Function, Bessel Function, Q-Digamma Function, Riemann– Liouville Fractional Integral, Hermite–Hadamard Inequality, Riemann–Liouville Fractional Integral, Hermite– Hadamard Inequality, Geometry, Convex Functions, Matrix Inequalities and Geometric Means, Mathematical analysis, Orthogonal Polynomials, q-digamma function, Fractional Integrals, Convex function, QA1-939, FOS: Mathematics, Bessel function, Biology, Anomalous Diffusion Modeling and Analysis, Hadamard transform, Hermite polynomials, Ecology, Applied Mathematics, Pure mathematics, Fractional calculus, Incomplete gamma function, Hermite–Hadamard inequality, Regular polygon, Gamma Function, Inequality, Modeling and Simulation, Gamma function, FOS: Biological sciences, Physical Sciences, Hermite-Hadamard Inequalities, Type (biology), Mathematics, Riemann–Liouville fractional integral, Hypergeometric Functions, \(q\)-digamma function, incomplete gamma function, Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals), Hermite-Hadamard inequality, Riemann-Liouville fractional integral, Inequalities involving other types of functions
Fields of Science
02 engineering and technology, 01 natural sciences, 0202 electrical engineering, electronic engineering, information engineering, 0101 mathematics
Citation
Mohammed, Pshtiwan Othman...et al. (2020). "New fractional inequalities of Hermite–Hadamard type involving the incomplete gamma functions", Journal of Inequalities and Applications, Vol. 2020, No. 1.
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24
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2020
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1
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