Journal of Inequalities and Applications · 2020 · 10 citations · 14 references
Natural SciencesArea StudiesFunctional DeclineGeography Of InequalityProbability TheoryInequalityIntegral EquationsOperator TheoryChebyshev InequalityOperator InequalitiesOperators
Abstract The role of fractional integral operators can be found as one of the best ways to generalize classical inequalities. In this paper, we use different fractional integral operators to produce some inequalities for the weighted and the extended Chebyshev functionals. The results are more general than the available classical results in the literature.
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A new definition of fractional derivative
Roshdi Khalil, Mohammed Al Horani, A. Yousef et al. · Journal of Computational and Applied Mathematics · 2014 · 3.4K citations