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Further Results on Chebyshev and Steffensen Inequalities

Zoubir Dahmani|Mohamed Doubbi Bounoua
경북대학교 자연과학대학 수학과|2018.03|Kyungpook Mathematical Journal|제58권 제1호|pp. 55-66|DOI https://doi.org/10.5666/KMJ.2018.58.1.55

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참고문헌

키워드

Integral inequalitiesRiemann-Liouville integralWeighted Cheby- shev functionalSte ensen inequality
주제분류수학

초록

By making use of the Riemann-Liouville fractional integrals, we establishfurther results on Chebyshev inequality. Other Ste ensen integral results of the weightedChebyshev functional are also proved. Some classical results of the paper:[ Ste ensen'sgeneralization of Chebyshev inequality. J. Math. Inequal., 9(1), (2015).] can be deducedas some special cases.

Abstract

By making use of the Riemann-Liouville fractional integrals, we establishfurther results on Chebyshev inequality. Other Ste ensen integral results of the weightedChebyshev functional are also proved. Some classical results of the paper:[ Ste ensen'sgeneralization of Chebyshev inequality. J. Math. Inequal., 9(1), (2015).] can be deducedas some special cases.

참고문헌 (18)

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