(p,q)-Generalization of Szasz-Mirakyan operators
| dc.contributor.author | Acar, Tuncer | |
| dc.date.accessioned | 2020-06-25T18:16:27Z | |
| dc.date.available | 2020-06-25T18:16:27Z | |
| dc.date.issued | 2016 | |
| dc.department | Kırıkkale Üniversitesi | |
| dc.description | Acar, Tuncer/0000-0003-0982-9459 | |
| dc.description.abstract | In this paper, we introduce new modifications of Szasz-Mirakyan operators based on (p,q)-integers. We first give a recurrence relation for the moments of new operators and present explicit formula for the moments and central moments up to order 4. Some approximation properties of new operators are explored: the uniform convergence over bounded and unbounded intervals is established, direct approximation properties of the operators in terms of the moduli of smoothness is obtained and Voronovskaya theorem is presented. For the particular case p = 1, the previous results for q-Sz asz-Mirakyan operators are captured. Copyright (c) 2015 John Wiley & Sons, Ltd. | en_US |
| dc.identifier.citation | closedAccess | en_US |
| dc.identifier.doi | 10.1002/mma.3721 | |
| dc.identifier.endpage | 2695 | en_US |
| dc.identifier.issn | 0170-4214 | |
| dc.identifier.issn | 1099-1476 | |
| dc.identifier.issue | 10 | en_US |
| dc.identifier.scopus | 2-s2.0-84947743856 | |
| dc.identifier.scopusquality | Q1 | |
| dc.identifier.startpage | 2685 | en_US |
| dc.identifier.uri | https://doi.org/10.1002/mma.3721 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12587/6534 | |
| dc.identifier.volume | 39 | en_US |
| dc.identifier.wos | WOS:000378726800018 | |
| dc.identifier.wosquality | Q2 | |
| dc.indekslendigikaynak | Web of Science | |
| dc.indekslendigikaynak | Scopus | |
| dc.language.iso | en | |
| dc.publisher | Wiley-Blackwell | en_US |
| dc.relation.ispartof | Mathematical Methods In The Applied Sciences | |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | (p,q)-integers | en_US |
| dc.subject | (p,q)-Szasz-Mirakyan operators | en_US |
| dc.subject | weighted approximation | en_US |
| dc.title | (p,q)-Generalization of Szasz-Mirakyan operators | en_US |
| dc.type | Article |
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