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Your search keyword '"Fractional integral"' showing total 2 results
Start Over Descriptor "Fractional integral" Topic beta functions Journal applied mathematics & computation Publisher elsevier b.v.
2 results on '"Fractional integral"'

1. Refinements and similar extensions of Hermite–Hadamard inequality for fractional integrals and their applications.

Author

Hwang, Shiow-Ru, Yeh, Shu-Ying, and Tseng, Kuei-Lin

Subjects
*HERMITE polynomials, *MATHEMATICAL inequalities, *HADAMARD matrices, *FRACTIONAL integrals, *BETA functions, *NUMERICAL analysis
Abstract

In this paper, we establish some new refinements and similar extensions of Hermite–Hadamard inequality for fractional integrals and present several applications in the Beta function. [ABSTRACT FROM AUTHOR]

Published
2014
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2. Some results on the extended beta and extended hypergeometric functions.

Author

Luo, Min-Jie, Milovanovic, Gradimir V., and Agarwal, Praveen

Subjects
*BETA functions, *HYPERGEOMETRIC functions, *LAGUERRE polynomials, *OPERATOR theory, *FRACTIONAL integrals
Abstract

The purpose of this paper is to present a systematic study of some extended special functions like B b ; ρ , λ α , β x , y , 2 F 1 α , β ; ρ , λ z ; b and p F q α , β ; ρ , λ z ; b . We obtain various properties of these extended functions and establish their some connections with the Laguerre polynomial and Fox’s H -function. Furthermore, we also establish the extended Riemann–Liouville type fractional integral operator and extended Kober type fractional integral operators. [ABSTRACT FROM AUTHOR]

Published
2014
Full Text
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