Some Generalized Inequalities Involving Local Fractional Integrals and their Applications for Random Variables and Numerical Integration

S. Erden; M. Z. Sarikaya; N. Çelik

doi:10.1515/jamsi-2016-0008

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Some Generalized Inequalities Involving Local Fractional Integrals and their Applications for Random Variables and Numerical Integration

Journal of Applied Mathematics, Statistics and Informatics

Volume 12 (2016): Issue 2 (December 2016)

By: S. Erden, M. Z. Sarikaya and N. Çelik

Open Access

|Dec 2016

Abstract

We establish generalized pre-Grüss inequality for local fractional integrals. Then, we obtain some inequalities involving generalized expectation, p−moment, variance and cumulative distribution function of random variable whose probability density function is bounded. Finally, some applications for generalized Ostrowski-Grüss inequality in numerical integration are given.

References

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Articles in this issue

DOI: https://doi.org/10.1515/jamsi-2016-0008 | Journal eISSN: 1339-0015 | Journal ISSN: 1336-9180

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Language: English

Page range: 49 - 65

Published on: Dec 30, 2016

Published by: University of Ss. Cyril and Methodius in Trnava

In partnership with: Paradigm Publishing Services

Publication frequency: 2 issues per year

Keywords:

Grüss inequality,

Ostrovski inequality,

local fractional integrals,

random variables

Related subjects:

Computer sciences,

Information technology,

Mathematics,

Logic and set theory,

Probability and statistics,

Applied mathematics

© 2016 S. Erden, M. Z. Sarikaya, N. Çelik, published by University of Ss. Cyril and Methodius in Trnava
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Volume 12 (2016): Issue 2 (December 2016)