Approximation properties of Kantorovich type q-Balázs-Szabados operators
In this paper, we introduce a new kind of q-Balázs-Szabados-Kantorovich operators called q-BSK operators. We give a weighted statistical approximation theorem and the rate of convergence of the q-BSK operators. Also, we investigate the local approximation results. Further, we give some comparisons a...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2019-01-01
|
| Series: | Demonstratio Mathematica |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/dema-2019-0002 |
| _version_ | 1831549374486806528 |
|---|---|
| author | Özkan Esma Yıldız |
| author_facet | Özkan Esma Yıldız |
| author_sort | Özkan Esma Yıldız |
| collection | DOAJ |
| description | In this paper, we introduce a new kind of q-Balázs-Szabados-Kantorovich operators called q-BSK operators. We give a weighted statistical approximation theorem and the rate of convergence of the q-BSK operators. Also, we investigate the local approximation results. Further, we give some comparisons associated with the convergence of q-BSK operators. |
| first_indexed | 2024-12-17T02:35:37Z |
| format | Article |
| id | doaj.art-278adf58446b4a6d90a5842b2ce9b70a |
| institution | Directory Open Access Journal |
| issn | 2391-4661 |
| language | English |
| last_indexed | 2024-12-17T02:35:37Z |
| publishDate | 2019-01-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Demonstratio Mathematica |
| spelling | doaj.art-278adf58446b4a6d90a5842b2ce9b70a2022-12-21T22:06:51ZengDe GruyterDemonstratio Mathematica2391-46612019-01-01521101910.1515/dema-2019-0002dema-2019-0002Approximation properties of Kantorovich type q-Balázs-Szabados operatorsÖzkan Esma Yıldız0Gazi University, Faculty of Science, Department of Mathematics, 06500, Ankara, TurkeyIn this paper, we introduce a new kind of q-Balázs-Szabados-Kantorovich operators called q-BSK operators. We give a weighted statistical approximation theorem and the rate of convergence of the q-BSK operators. Also, we investigate the local approximation results. Further, we give some comparisons associated with the convergence of q-BSK operators.https://doi.org/10.1515/dema-2019-0002balázs-szabados operatorsq-calculusrate of convergencepeetre’s k-functional41a2541a3541a36 |
| spellingShingle | Özkan Esma Yıldız Approximation properties of Kantorovich type q-Balázs-Szabados operators Demonstratio Mathematica balázs-szabados operators q-calculus rate of convergence peetre’s k-functional 41a25 41a35 41a36 |
| title | Approximation properties of Kantorovich type q-Balázs-Szabados operators |
| title_full | Approximation properties of Kantorovich type q-Balázs-Szabados operators |
| title_fullStr | Approximation properties of Kantorovich type q-Balázs-Szabados operators |
| title_full_unstemmed | Approximation properties of Kantorovich type q-Balázs-Szabados operators |
| title_short | Approximation properties of Kantorovich type q-Balázs-Szabados operators |
| title_sort | approximation properties of kantorovich type q balazs szabados operators |
| topic | balázs-szabados operators q-calculus rate of convergence peetre’s k-functional 41a25 41a35 41a36 |
| url | https://doi.org/10.1515/dema-2019-0002 |
| work_keys_str_mv | AT ozkanesmayıldız approximationpropertiesofkantorovichtypeqbalazsszabadosoperators |