Pseudo-fractional integral inequality of Chebyshev type

In this paper, we give a general version of Chebyshev type inequality for pseudo-convolution integral on a semiring ([a,b],⊕,⊙)([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.