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Öğe The (k, s, h)-Riemann-Liouville and the (k, s)-Hadamard Operators(Islamic Azad Univ, Shiraz Branch, 2022) Bezziou, Mohamed; Dahmani, Zoubir; Sarıkaya, Mehmet ZekiThis paper deals with new results on Gruss inequality by using recent fractional integral operators. In fact, based on the (k, s, h)-Riemann-Liouville and the (k, h) fractional operators, we establish several integral results. For our results, some very recent results on the paper: [A Gruss type inequality for two weighted functions. J. Math. Computer Sci., 2018.] can be deduced as some special cases.Öğe SOME ESTIMATIONS ON CONTINUOUS RANDOM VARIABLES INVOLVING FRACTIONAL CALCULUS(Etamaths Publ, 2017) Dahmani, Zoubir; Khameli, Amina; Bezziou, Mohamed; Sarıkaya, Mehmet ZekiUsing fractional calculus, new fractional bounds estimating the w-weighted expectation, the w-weighted variance and the w-weighted moment of continuous random variables are obtained. Some recent results on classical bounds estimations are generalized.