Generalized k-Fractional Chebyshev-Type Inequalities via Mittag-Leffler Functions

Mathematical inequalities have gained importance and popularity due to the application of integral operators of different types. The present paper aims to give Chebyshev-type inequalities for generalized k-integral operators involving the Mittag-Leffler function in kernels. Several new results can be deduced for different integral operators, along with Riemann-Liouville fractional integrals by substituting convenient parameters. Moreover, the presented results generalize several already published inequalities.

Automated summary

This paper investigates Chebyshev-type inequalities for generalized k-integral operators involving the Mittag-Leffler function in kernels, and derives new results for different integral operators and Riemann-Liouville fractional integrals by substituting parameters. Moreover, the presented results generalize several already published inequalities.