Generalization of Companion of Ostrowski's Type Inequality Via Riemann-Liouville Fractional Integral and Applications in Numerical Integration, Probability Theory and Special Means
We apply the Riemann-Liouville fractional integral to generalize a companion of Ostrowski's type integral inequality. The present article recaptures all the results of M. W. Alomari's article and also for one more article of different authors. Applications are also deduced for numerical in...
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| Format: | Article |
| Language: | English |
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University of Maragheh
2024-07-01
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| Series: | Sahand Communications in Mathematical Analysis |
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| Online Access: | https://scma.maragheh.ac.ir/article_712162_d779f0480a7a65291e0c93a517f74c7e.pdf |
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| _version_ | 1823859405891829760 |
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| author | Faraz Mehmood Akhmadjon Soleev |
| author_facet | Faraz Mehmood Akhmadjon Soleev |
| author_sort | Faraz Mehmood |
| collection | DOAJ |
| description | We apply the Riemann-Liouville fractional integral to generalize a companion of Ostrowski's type integral inequality. The present article recaptures all the results of M. W. Alomari's article and also for one more article of different authors. Applications are also deduced for numerical integration, probability theory and special means. |
| format | Article |
| id | doaj-art-80403d4ca8314a7faad83577ddc18a34 |
| institution | Kabale University |
| issn | 2322-5807 2423-3900 |
| language | English |
| publishDate | 2024-07-01 |
| publisher | University of Maragheh |
| record_format | Article |
| series | Sahand Communications in Mathematical Analysis |
| spelling | doaj-art-80403d4ca8314a7faad83577ddc18a342025-02-11T05:27:31ZengUniversity of MaraghehSahand Communications in Mathematical Analysis2322-58072423-39002024-07-0121322724810.22130/scma.2023.2003241.1343712162Generalization of Companion of Ostrowski's Type Inequality Via Riemann-Liouville Fractional Integral and Applications in Numerical Integration, Probability Theory and Special MeansFaraz Mehmood0Akhmadjon Soleev1Department of Mathematics, Samarkand State University, University boulevard 15, Samarkand 140104, Uzbekistan.Department of Mathematics, Samarkand State University, University boulevard 15, Samarkand 140104, Uzbekistan.We apply the Riemann-Liouville fractional integral to generalize a companion of Ostrowski's type integral inequality. The present article recaptures all the results of M. W. Alomari's article and also for one more article of different authors. Applications are also deduced for numerical integration, probability theory and special means.https://scma.maragheh.ac.ir/article_712162_d779f0480a7a65291e0c93a517f74c7e.pdffractional calculusriemann-liouville fractional integral operatorostrowski’s inequalitydifferentiable mappingnumerical integrationprobability density functionspecial means |
| spellingShingle | Faraz Mehmood Akhmadjon Soleev Generalization of Companion of Ostrowski's Type Inequality Via Riemann-Liouville Fractional Integral and Applications in Numerical Integration, Probability Theory and Special Means Sahand Communications in Mathematical Analysis fractional calculus riemann-liouville fractional integral operator ostrowski’s inequality differentiable mapping numerical integration probability density function special means |
| title | Generalization of Companion of Ostrowski's Type Inequality Via Riemann-Liouville Fractional Integral and Applications in Numerical Integration, Probability Theory and Special Means |
| title_full | Generalization of Companion of Ostrowski's Type Inequality Via Riemann-Liouville Fractional Integral and Applications in Numerical Integration, Probability Theory and Special Means |
| title_fullStr | Generalization of Companion of Ostrowski's Type Inequality Via Riemann-Liouville Fractional Integral and Applications in Numerical Integration, Probability Theory and Special Means |
| title_full_unstemmed | Generalization of Companion of Ostrowski's Type Inequality Via Riemann-Liouville Fractional Integral and Applications in Numerical Integration, Probability Theory and Special Means |
| title_short | Generalization of Companion of Ostrowski's Type Inequality Via Riemann-Liouville Fractional Integral and Applications in Numerical Integration, Probability Theory and Special Means |
| title_sort | generalization of companion of ostrowski s type inequality via riemann liouville fractional integral and applications in numerical integration probability theory and special means |
| topic | fractional calculus riemann-liouville fractional integral operator ostrowski’s inequality differentiable mapping numerical integration probability density function special means |
| url | https://scma.maragheh.ac.ir/article_712162_d779f0480a7a65291e0c93a517f74c7e.pdf |
| work_keys_str_mv | AT farazmehmood generalizationofcompanionofostrowskistypeinequalityviariemannliouvillefractionalintegralandapplicationsinnumericalintegrationprobabilitytheoryandspecialmeans AT akhmadjonsoleev generalizationofcompanionofostrowskistypeinequalityviariemannliouvillefractionalintegralandapplicationsinnumericalintegrationprobabilitytheoryandspecialmeans |