WEIGHTED INEQUALITIES INVOLVING CONFORMABLE INTEGRALS AND ITS APPLICATIONS FOR RANDOM VARIABLE AND NUMERICAL INTEGRATION

Samet ERDEN

Abstract


We establish new weighted inequalities for conformable integrals
and derivatives. Then, some results involving alpha-fractional moments are presented. Next, alpha-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.


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