Weighted inequalities involving conformable integrals and its applications for random variable and numerical integration | Zendy

Samet Erden | Zendy

Open Access

Weighted inequalities involving conformable integrals and its applications for random variable and numerical integration

Author(s) -

Samet Erden

Publication year - 2020

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil2008785e

Subject(s) - conformable matrix , mathematics , weibull distribution , inequality , variable (mathematics) , random variable , numerical integration , calculus (dental) , mathematical analysis , statistics , medicine , physics , quantum mechanics , dentistry

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.

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