Convexity of Certain q-Integral Operators of p-Valent Functions
By applying the concept (and theory) of fractional q-calculus, we first define and introduce two new q-integral operators for certain analytic functions defined in the unit disc 𝒰. Convexity properties of these q-integral operators on some classes of analytic functions defined by a linear multiplier...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/925902 |
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| _version_ | 1832548554867998720 |
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| author | K. A. Selvakumaran S. D. Purohit Aydin Secer Mustafa Bayram |
| author_facet | K. A. Selvakumaran S. D. Purohit Aydin Secer Mustafa Bayram |
| author_sort | K. A. Selvakumaran |
| collection | DOAJ |
| description | By applying the concept (and theory) of fractional q-calculus, we first define and introduce two new q-integral operators for certain analytic functions defined in the unit disc 𝒰. Convexity properties of these q-integral operators on some classes of analytic functions defined by a linear multiplier fractional q-differintegral operator are studied. Special cases of the main results are also mentioned. |
| format | Article |
| id | doaj-art-8729e94dd6a64d57be71ae0174967e52 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-8729e94dd6a64d57be71ae0174967e522025-02-03T06:13:43ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/925902925902Convexity of Certain q-Integral Operators of p-Valent FunctionsK. A. Selvakumaran0S. D. Purohit1Aydin Secer2Mustafa Bayram3Department of Mathematics, RMK College of Engineering and Technology, Puduvoyal, Tamil Nadu 601206, IndiaDepartment of Basic Sciences (Mathematics), College of Technology and Engineering, M. P. University of Agriculture and Technology, Udaipur, Rajasthan 313001, IndiaDepartment of Mathematical Engineering, Yildiz Technical University, Davutpasa, 34210 Istanbul, TurkeyDepartment of Mathematical Engineering, Yildiz Technical University, Davutpasa, 34210 Istanbul, TurkeyBy applying the concept (and theory) of fractional q-calculus, we first define and introduce two new q-integral operators for certain analytic functions defined in the unit disc 𝒰. Convexity properties of these q-integral operators on some classes of analytic functions defined by a linear multiplier fractional q-differintegral operator are studied. Special cases of the main results are also mentioned.http://dx.doi.org/10.1155/2014/925902 |
| spellingShingle | K. A. Selvakumaran S. D. Purohit Aydin Secer Mustafa Bayram Convexity of Certain q-Integral Operators of p-Valent Functions Abstract and Applied Analysis |
| title | Convexity of Certain q-Integral Operators of p-Valent Functions |
| title_full | Convexity of Certain q-Integral Operators of p-Valent Functions |
| title_fullStr | Convexity of Certain q-Integral Operators of p-Valent Functions |
| title_full_unstemmed | Convexity of Certain q-Integral Operators of p-Valent Functions |
| title_short | Convexity of Certain q-Integral Operators of p-Valent Functions |
| title_sort | convexity of certain q integral operators of p valent functions |
| url | http://dx.doi.org/10.1155/2014/925902 |
| work_keys_str_mv | AT kaselvakumaran convexityofcertainqintegraloperatorsofpvalentfunctions AT sdpurohit convexityofcertainqintegraloperatorsofpvalentfunctions AT aydinsecer convexityofcertainqintegraloperatorsofpvalentfunctions AT mustafabayram convexityofcertainqintegraloperatorsofpvalentfunctions |