<abstract xmlns="http://www.w3.org/1999/xhtml"><p>We establish generalized pre-Grüss inequality for local fractional integrals. Then, we obtain some inequalities involving generalized expectation, <italic>p−</italic>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.</p></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.

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

Department of Mathematics, Faculty of Science, Bartın University, Bartın-

Department of Mathematics, Faculty of Science and Arts, Düzce University, Düzce-

Department of Statistics, Faculty of Science, Bartın University, Bartın-

Journal of Applied Mathematics, Statistics and Informatics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

We establish generalized pre-Grüss inequality for local fractional integrals. Then, we obtain some inequalities involving generalized expectation, p−moment,...

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

Published Online: Dec 30, 2016

Page range: 49 - 65

DOI: https://doi.org/10.1515/jamsi-2016-0008

Keywords
Grüss inequality, Ostrovski inequality, local fractional integrals, random variables

© 2016 Faculty of Natural Sciences, University of Saint Cyril and Metodius

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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

Published Online: Dec 30, 2016

Page range: 49 - 65

DOI: https://doi.org/10.1515/jamsi-2016-0008

KeywordsGrüss inequality, Ostrovski inequality, local fractional integrals, random variables

© 2016 Faculty of Natural Sciences, University of Saint Cyril and Metodius

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
Grüss inequality, Ostrovski inequality, local fractional integrals, random variables