Further Results on Continuous Random Variables via Fractional Integrals

Ibrahim Slimane; Zoubir Damani; Shilpi Jain; Praveen Agarwal

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

Further Results on Continuous Random Variables via Fractional Integrals

Ibrahim Slimane
, Zoubir Damani
, Shilpi Jain
, Praveen Agarwal

University of Mostaganem
Poornima College of Engineering
International College of Engineering

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

3 Scopus citations

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.

Original language	English
Title of host publication	Approximation Theory and Analytic Inequalities
Publisher	Springer International Publishing
Pages	201-209
Number of pages	9
ISBN (Electronic)	9783030606220
ISBN (Print)	9783030606213
DOIs	https://doi.org/10.1007/978-3-030-60622-0_11
State	Published - 1 Jan 2021
Externally published	Yes

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

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abstract = "In this paper, some new fractional weighted inequalities related to {\v C}eby{\v s}ev, Ostrowski, and Lupa{\c s} 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.",

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N2 - 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.

AB - 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.

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Further Results on Continuous Random Variables via Fractional Integrals

Abstract

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