A Generalized q-Grüss Inequality Involving the Riemann-Liouville Fractional q-Integrals
The aim of this paper is to establish q-extension of the Grüss type integral inequality related to the integrable functions whose bounds are four integrable functions, involving Riemann-Liouville fractional q-integral operators. The results given earlier by Zhu et al. (2012) and Tariboon et al. (201...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/914320 |
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| author | Aydin Secer S. D. Purohit K. A. Selvakumaran Mustafa Bayram |
| author_facet | Aydin Secer S. D. Purohit K. A. Selvakumaran Mustafa Bayram |
| author_sort | Aydin Secer |
| collection | DOAJ |
| description | The aim of this paper is to establish q-extension of the Grüss type integral inequality related to the integrable functions whose bounds are four integrable functions, involving Riemann-Liouville fractional q-integral operators. The results given earlier by Zhu et al. (2012) and Tariboon et al. (2014) follow the special cases of our findings. |
| format | Article |
| id | doaj-art-d85b9569322245c2b015ba5ad5495f34 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-d85b9569322245c2b015ba5ad5495f342025-02-03T01:32:45ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/914320914320A Generalized q-Grüss Inequality Involving the Riemann-Liouville Fractional q-IntegralsAydin Secer0S. D. Purohit1K. A. Selvakumaran2Mustafa Bayram3Department of Mathematical Engineering, Yildiz Technical University, Davutpasa, 34210 Istanbul, TurkeyDepartment of Basic Sciences (Mathematics), College of Technology and Engineering, M.P. University of Agriculture and Technology, Udaipur 313001, IndiaDepartment of Mathematics, R.M.K. College of Engineering and Technology, Puduvoyal, Tamil Nadu 601206, IndiaDepartment of Mathematical Engineering, Yildiz Technical University, Davutpasa, 34210 Istanbul, TurkeyThe aim of this paper is to establish q-extension of the Grüss type integral inequality related to the integrable functions whose bounds are four integrable functions, involving Riemann-Liouville fractional q-integral operators. The results given earlier by Zhu et al. (2012) and Tariboon et al. (2014) follow the special cases of our findings.http://dx.doi.org/10.1155/2014/914320 |
| spellingShingle | Aydin Secer S. D. Purohit K. A. Selvakumaran Mustafa Bayram A Generalized q-Grüss Inequality Involving the Riemann-Liouville Fractional q-Integrals Journal of Applied Mathematics |
| title | A Generalized q-Grüss Inequality Involving the Riemann-Liouville Fractional q-Integrals |
| title_full | A Generalized q-Grüss Inequality Involving the Riemann-Liouville Fractional q-Integrals |
| title_fullStr | A Generalized q-Grüss Inequality Involving the Riemann-Liouville Fractional q-Integrals |
| title_full_unstemmed | A Generalized q-Grüss Inequality Involving the Riemann-Liouville Fractional q-Integrals |
| title_short | A Generalized q-Grüss Inequality Involving the Riemann-Liouville Fractional q-Integrals |
| title_sort | generalized q gruss inequality involving the riemann liouville fractional q integrals |
| url | http://dx.doi.org/10.1155/2014/914320 |
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