Certain Chebyshev-type inequalities involving fractional conformable integral operators

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Abstract

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.

Original languageEnglish
Article number364
JournalMathematics
Volume7
Issue number4
DOIs
StatePublished - 1 Apr 2019

Keywords

  • Chebyshev's functional
  • differentiable functions
  • fractional conformable integral
  • integral inequalities
  • Riemann-Liouville (R-L) fractional integral

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