1. Pseudo-fractional integral inequality of Chebyshev type.
- Author
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Agahi, Hamzeh, Babakhani, Azizollah, and Mesiar, Radko
- Subjects
- *
FRACTIONAL integrals , *INTEGRAL inequalities , *CHEBYSHEV systems , *MATHEMATICAL convolutions , *PROBLEM solving , *MATHEMATICAL series - Abstract
In this paper, we give a general version of Chebyshev type inequality for pseudo-convolution integral on a semiring ( [ a , b ] , ⊕ , ⊙ ) . Our result is flexible enough to support both pseudo-integral and convolution integral, (e.g., fractional integral), thus closing the series of papers. It includes the corresponding results of Agahi et al. [1] as a special case. Finally, some concluding remarks are drawn and some open problems for further investigations are given. [ABSTRACT FROM AUTHOR]
- Published
- 2015
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