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http://dx.doi.org/10.5666/KMJ.2018.58.1.55

Further Results on Chebyshev and Steffensen Inequalities

Dahmani, Zoubir (Laboratory LPAM, Faculty of SEI, UMAB, University of Mostaganem)
Bounoua, Mohamed Doubbi (Laboratory LPAM, Faculty of SEI, UMAB, University of Mostaganem)

Publication Information

Kyungpook Mathematical Journal / v.58, no.1, 2018 , pp. 55-66 More about this Journal

Abstract

By making use of the Riemann-Liouville fractional integrals, we establish further results on Chebyshev inequality. Other Steffensen integral results of the weighted Chebyshev functional are also proved. Some classical results of the paper:[ Steffensen's generalization of Chebyshev inequality. J. Math. Inequal., 9(1), (2015).] can be deduced as some special cases.

Keywords

Integral inequalities; Riemann-Liouville integral; Weighted Chebyshev functional; Steffensen inequality;

Citations & Related Records

Reference

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