Weighted inequalities involving conformable integrals and its applications for random variable and numerical integration
Filomat, Tome 34 (2020) no. 8, p. 2785

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We establish new weighted inequalities for conformable integrals and derivatives. Then, some results involving α−fractional moments are presented. Next, α−fractional Uniform, Gamma and Weibull distribution are defined and exclusive results by using these inequalities developed are obtained. Also, some applications of obtained inequalities in numerical integration are given.
DOI : 10.2298/FIL2008785E
Classification : 26D10, 26D15, 26A33, 60E15
Keywords: Conformable calculus, Ostrowski inequality, Midpoint inequality, Convex function, Random variables
Samet Erden. Weighted inequalities involving conformable integrals and its applications for random variable and numerical integration. Filomat, Tome 34 (2020) no. 8, p. 2785 . doi: 10.2298/FIL2008785E
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     author = {Samet Erden},
     title = {Weighted inequalities involving conformable integrals and its applications for random variable and numerical integration},
     journal = {Filomat},
     pages = {2785 },
     year = {2020},
     volume = {34},
     number = {8},
     doi = {10.2298/FIL2008785E},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2008785E/}
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