Journal
MATHEMATICS
Volume 7, Issue 4, Pages -Publisher
MDPI
DOI: 10.3390/math7040364
Keywords
Riemann-Liouville (R-L) fractional integral; fractional conformable integral; Chebyshev's functional; differentiable functions; integral inequalities; 26A33; 26D10
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Funding
- Higher Education Commission of Pakistan
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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.
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