Further Results on Continuous Random Variables via Fractional Integrals

Ibrahim Slimane (), Zoubir Damani (), Shilpi Jain () and Praveen Agarwal ()
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Ibrahim Slimane: UMAB Abdelhamid Ibn Badis University of Mostaganem, Faculty of Exact Sciences and Informatics
Zoubir Damani: UMAB Abdelhamid Ibn Badis University of Mostaganem, Faculty of Exact Sciences and Informatics
Shilpi Jain: Poornima College of Engineering, Department of Mathematics
Praveen Agarwal: Anand International College of Engineering, Department of Mathematics

A chapter in Approximation Theory and Analytic Inequalities, 2021, pp 201-209 from Springer

Abstract: Abstract In this paper, some new fractional weighted inequalities related to Čebyšev, Ostrowski, and Lupaş inequalities are established, and some of their applications for continuous random variables having the probability density function (p.d.f.) defined on a finite interval are derived. Furthermore, some upper bounds for fractional expectation and fractional variance are given.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-60622-0_11

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DOI: 10.1007/978-3-030-60622-0_11

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