On Certain Analogues of Noor Integral Operators Associated with Fractional Integrals
In this paper, we employ a q-Noor integral operator to perform a q-analogue of certain fractional integral operator defined on an open unit disc. Then, we make use of the Hadamard convolution product to discuss several related results. Also, we derive a class of convex functions by utilizing the q-f...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2024-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2024/4565581 |
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| author | Mojtaba Fardi Ebrahim Amini Shrideh Al-Omari |
| author_facet | Mojtaba Fardi Ebrahim Amini Shrideh Al-Omari |
| author_sort | Mojtaba Fardi |
| collection | DOAJ |
| description | In this paper, we employ a q-Noor integral operator to perform a q-analogue of certain fractional integral operator defined on an open unit disc. Then, we make use of the Hadamard convolution product to discuss several related results. Also, we derive a class of convex functions by utilizing the q-fractional integral operator and apply the inspired presented theory of the differential subordination, to geometrically explore the most popular differential subordination properties of the aforementioned operator. In addition, we discuss an exciting inclusion for the given convex class of functions. Over and above, we investigate the q-fractional integral operator and obtain some applications for the differential subordination. |
| format | Article |
| id | doaj-art-7b51f07376b24fb5ada5c04d85f82483 |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-7b51f07376b24fb5ada5c04d85f824832025-02-03T06:14:52ZengWileyJournal of Function Spaces2314-88882024-01-01202410.1155/2024/4565581On Certain Analogues of Noor Integral Operators Associated with Fractional IntegralsMojtaba Fardi0Ebrahim Amini1Shrideh Al-Omari2Department of MathematicsDepartment of MathematicsDepartment of MathematicsIn this paper, we employ a q-Noor integral operator to perform a q-analogue of certain fractional integral operator defined on an open unit disc. Then, we make use of the Hadamard convolution product to discuss several related results. Also, we derive a class of convex functions by utilizing the q-fractional integral operator and apply the inspired presented theory of the differential subordination, to geometrically explore the most popular differential subordination properties of the aforementioned operator. In addition, we discuss an exciting inclusion for the given convex class of functions. Over and above, we investigate the q-fractional integral operator and obtain some applications for the differential subordination.http://dx.doi.org/10.1155/2024/4565581 |
| spellingShingle | Mojtaba Fardi Ebrahim Amini Shrideh Al-Omari On Certain Analogues of Noor Integral Operators Associated with Fractional Integrals Journal of Function Spaces |
| title | On Certain Analogues of Noor Integral Operators Associated with Fractional Integrals |
| title_full | On Certain Analogues of Noor Integral Operators Associated with Fractional Integrals |
| title_fullStr | On Certain Analogues of Noor Integral Operators Associated with Fractional Integrals |
| title_full_unstemmed | On Certain Analogues of Noor Integral Operators Associated with Fractional Integrals |
| title_short | On Certain Analogues of Noor Integral Operators Associated with Fractional Integrals |
| title_sort | on certain analogues of noor integral operators associated with fractional integrals |
| url | http://dx.doi.org/10.1155/2024/4565581 |
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