Certain Chebyshev-Type Inequalities Involving Fractional Conformable Integral Operators

oleh: Gauhar Rahman, Zafar Ullah, Aftab Khan, Erhan Set, Kottakkaran Sooppy Nisar

Format: Article
Diterbitkan: MDPI AG 2019-04-01

Deskripsi

Since an interesting functional by P.L. Chebyshev was presented in the year 1882, many results, which are called Chebyshev-type inequalities, have been established. Some of these inequalities were obtained by using fractional integral operators. Very recently, a new variant of the fractional conformable integral operator was introduced by Jarad et al. Motivated by this operator, we aim at establishing novel inequalities for a class of differentiable functions, which are associated with Chebyshev’s functional, by employing a fractional conformable integral operator. We also aim at showing important connections of the results here with those including Riemann–Liouville fractional and classical integrals.