Montgomery Identity and Ostrowski Type Inequalities for Riemann-Liouville Fractional Integral
Author
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-09-10
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
We present Montgomery identity for Riemann-Liouville fractional integral as well as for fractional integral of a function f with respect to another function g .
We further use them to obtain Ostrowski type inequalities involving functions whose first derivatives belong to L p spaces.
These inequalities are generally sharp in case p > 1 and the best possible in case p = 1 .
Application for Hadamard fractional integrals is given.
American Psychological Association (APA)
Aglić Aljinović, Andrea. 2014. Montgomery Identity and Ostrowski Type Inequalities for Riemann-Liouville Fractional Integral. Journal of Mathematics،Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-1041079
Modern Language Association (MLA)
Aglić Aljinović, Andrea. Montgomery Identity and Ostrowski Type Inequalities for Riemann-Liouville Fractional Integral. Journal of Mathematics No. 2014 (2014), pp.1-6.
https://search.emarefa.net/detail/BIM-1041079
American Medical Association (AMA)
Aglić Aljinović, Andrea. Montgomery Identity and Ostrowski Type Inequalities for Riemann-Liouville Fractional Integral. Journal of Mathematics. 2014. Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-1041079
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1041079
