Approximation properties of the fractional q-integral of Riemann-Liouville integral type Szasz-Mirakyan-Kantorovich operators
| dc.contributor.author | Kara, Mustafa | |
| dc.contributor.department | Other | tr_TR |
| dc.contributor.faculty | Other | tr_TR |
| dc.date.accessioned | 2022-12-29T11:36:53Z | |
| dc.date.available | 2022-12-29T11:36:53Z | |
| dc.date.issued | 2022 | |
| dc.description.abstract | In the present paper, we introduce the fractional q-integral of Riemann-Liouville integral type Szász-Mirakyan-Kantorovich operators. Korovkin-type approximation theorem is given and the order of convergence of these operators are obtained by using Lipschitz-type maximal functions, second order modulus of smoothness and Peetre's K-functional. Weighted approximation properties of these operators in terms of modulus of continuity have been investigated. Then, for these operators, we give a Voronovskaya-type theorem. Moreover, bivariate fractional q- integral Riemann-Liouville fractional integral type Szász-Mirakyan-Kantorovich operators are constructed. The last section is devoted to detailed graphical representation and error estimation results for these operators. | tr_TR |
| dc.description.index | Trdizin | tr_TR |
| dc.identifier.endpage | 1168 | tr_TR |
| dc.identifier.issn/e-issn | 1303-5991 | |
| dc.identifier.issue | 4 | tr_TR |
| dc.identifier.startpage | 1136 | tr_TR |
| dc.identifier.uri | https://doi.org/10.31801/cfsuasmas.1067635 | tr_TR |
| dc.identifier.uri | http://hdl.handle.net/20.500.12575/86626 | |
| dc.identifier.volume | 71 | tr_TR |
| dc.language.iso | en | tr_TR |
| dc.publisher | Ankara Üniversitesi | tr_TR |
| dc.relation.isversionof | 10.31801/cfsuasmas.1067635 | tr_TR |
| dc.relation.journal | Communications, Series A1:Mathematics and Statistics | tr_TR |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Başka Kurum Yazarı | tr_TR |
| dc.subject | Szasz-Mirakyan-Kantorovich operators, q-integral of Riemann-Liouville, Voronovskaya-type | tr_TR |
| dc.title | Approximation properties of the fractional q-integral of Riemann-Liouville integral type Szasz-Mirakyan-Kantorovich operators | tr_TR |
| dc.type | Article | tr_TR |
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