Approximation properties of modified Jain-Gamma operators
In the present paper, we study some approximation properties of a modified Jain-Gamma operator. Using Korovkin type theorem, we first give approximation properties of such operator. Secondly, we compute the rate of convergence of this operator by means of the modulus of continuity and we present app...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Vasyl Stefanyk Precarpathian National University
2021-12-01
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| Series: | Karpatsʹkì Matematičnì Publìkacìï |
| Subjects: | |
| Online Access: | https://journals.pnu.edu.ua/index.php/cmp/article/view/5021 |
| _version_ | 1797205800997879808 |
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| author | S. Erdogan A. Olgun |
| author_facet | S. Erdogan A. Olgun |
| author_sort | S. Erdogan |
| collection | DOAJ |
| description | In the present paper, we study some approximation properties of a modified Jain-Gamma operator. Using Korovkin type theorem, we first give approximation properties of such operator. Secondly, we compute the rate of convergence of this operator by means of the modulus of continuity and we present approximation properties of weighted spaces. Finally, we obtain the Voronovskaya type theorem of this operator. |
| first_indexed | 2024-04-24T08:56:53Z |
| format | Article |
| id | doaj.art-a5f18f894393440aa3dfea24aaeba65d |
| institution | Directory Open Access Journal |
| issn | 2075-9827 2313-0210 |
| language | English |
| last_indexed | 2024-04-24T08:56:53Z |
| publishDate | 2021-12-01 |
| publisher | Vasyl Stefanyk Precarpathian National University |
| record_format | Article |
| series | Karpatsʹkì Matematičnì Publìkacìï |
| spelling | doaj.art-a5f18f894393440aa3dfea24aaeba65d2024-04-16T07:09:07ZengVasyl Stefanyk Precarpathian National UniversityKarpatsʹkì Matematičnì Publìkacìï2075-98272313-02102021-12-0113365166510.15330/cmp.13.3.651-6654361Approximation properties of modified Jain-Gamma operatorsS. Erdogan0A. Olgun1Kirikkale University, 71450, Yahsihan, Kirikkale, TurkeyKirikkale University, 71450, Yahsihan, Kirikkale, TurkeyIn the present paper, we study some approximation properties of a modified Jain-Gamma operator. Using Korovkin type theorem, we first give approximation properties of such operator. Secondly, we compute the rate of convergence of this operator by means of the modulus of continuity and we present approximation properties of weighted spaces. Finally, we obtain the Voronovskaya type theorem of this operator.https://journals.pnu.edu.ua/index.php/cmp/article/view/5021jain operatorgamma operatorweighted spacemodulus of continuitypeetre $k$-functionvoronovskaya theorem |
| spellingShingle | S. Erdogan A. Olgun Approximation properties of modified Jain-Gamma operators Karpatsʹkì Matematičnì Publìkacìï jain operator gamma operator weighted space modulus of continuity peetre $k$-function voronovskaya theorem |
| title | Approximation properties of modified Jain-Gamma operators |
| title_full | Approximation properties of modified Jain-Gamma operators |
| title_fullStr | Approximation properties of modified Jain-Gamma operators |
| title_full_unstemmed | Approximation properties of modified Jain-Gamma operators |
| title_short | Approximation properties of modified Jain-Gamma operators |
| title_sort | approximation properties of modified jain gamma operators |
| topic | jain operator gamma operator weighted space modulus of continuity peetre $k$-function voronovskaya theorem |
| url | https://journals.pnu.edu.ua/index.php/cmp/article/view/5021 |
| work_keys_str_mv | AT serdogan approximationpropertiesofmodifiedjaingammaoperators AT aolgun approximationpropertiesofmodifiedjaingammaoperators |