Fractional Representation Formulae Under Initial Conditions and Fractional Ostrowski Type Inequalities
Here we present very general fractional representation formulae for a function in terms of the fractional Riemann-Liouville integrals of different orders of the function and its ordinary derivatives under initial conditions. Based on these, we derive general fractional Ostrowski type inequalities wi...
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| Format: | Article |
| Language: | English |
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De Gruyter
2015-09-01
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| Series: | Demonstratio Mathematica |
| Subjects: | |
| Online Access: | http://www.degruyter.com/view/j/dema.2015.48.issue-3/dema-2015-0025/dema-2015-0025.xml?format=INT |
| _version_ | 1811274964461944832 |
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| author | Anastassiou George A. |
| author_facet | Anastassiou George A. |
| author_sort | Anastassiou George A. |
| collection | DOAJ |
| description | Here we present very general fractional representation formulae for a function in terms of the fractional Riemann-Liouville integrals of different orders of the function and its ordinary derivatives under initial conditions. Based on these, we derive general fractional Ostrowski type inequalities with respect to all basic norms. |
| first_indexed | 2024-04-12T23:28:27Z |
| format | Article |
| id | doaj.art-a99bffa2f5cd4dc9aafdfa5578e10852 |
| institution | Directory Open Access Journal |
| issn | 0420-1213 2391-4661 |
| language | English |
| last_indexed | 2024-04-12T23:28:27Z |
| publishDate | 2015-09-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Demonstratio Mathematica |
| spelling | doaj.art-a99bffa2f5cd4dc9aafdfa5578e108522022-12-22T03:12:20ZengDe GruyterDemonstratio Mathematica0420-12132391-46612015-09-0148335737810.1515/dema-2015-0025dema-2015-0025Fractional Representation Formulae Under Initial Conditions and Fractional Ostrowski Type InequalitiesAnastassiou George A.0DEPARTMENT OF MATHEMATICAL SCIENCES UNIVERSITY OF MEMPHIS MEMPHIS, TN 38152, U.S.A.Here we present very general fractional representation formulae for a function in terms of the fractional Riemann-Liouville integrals of different orders of the function and its ordinary derivatives under initial conditions. Based on these, we derive general fractional Ostrowski type inequalities with respect to all basic norms.http://www.degruyter.com/view/j/dema.2015.48.issue-3/dema-2015-0025/dema-2015-0025.xml?format=INTfractional integralrepresentation formulaeOstrowski inequality |
| spellingShingle | Anastassiou George A. Fractional Representation Formulae Under Initial Conditions and Fractional Ostrowski Type Inequalities Demonstratio Mathematica fractional integral representation formulae Ostrowski inequality |
| title | Fractional Representation Formulae Under Initial Conditions and Fractional Ostrowski Type Inequalities |
| title_full | Fractional Representation Formulae Under Initial Conditions and Fractional Ostrowski Type Inequalities |
| title_fullStr | Fractional Representation Formulae Under Initial Conditions and Fractional Ostrowski Type Inequalities |
| title_full_unstemmed | Fractional Representation Formulae Under Initial Conditions and Fractional Ostrowski Type Inequalities |
| title_short | Fractional Representation Formulae Under Initial Conditions and Fractional Ostrowski Type Inequalities |
| title_sort | fractional representation formulae under initial conditions and fractional ostrowski type inequalities |
| topic | fractional integral representation formulae Ostrowski inequality |
| url | http://www.degruyter.com/view/j/dema.2015.48.issue-3/dema-2015-0025/dema-2015-0025.xml?format=INT |
| work_keys_str_mv | AT anastassiougeorgea fractionalrepresentationformulaeunderinitialconditionsandfractionalostrowskitypeinequalities |