On semi-exponential Gauss-Weierstrass operators
| dc.authorid | Ozsarac, Firat/0000-0001-7170-9613 | |
| dc.authorid | Gupta, Vijay/0000-0002-5768-5763 | |
| dc.contributor.author | Gupta, Vijay | |
| dc.contributor.author | Aral, Ali | |
| dc.contributor.author | Ozsarac, Firat | |
| dc.date.accessioned | 2025-01-21T16:43:14Z | |
| dc.date.available | 2025-01-21T16:43:14Z | |
| dc.date.issued | 2022 | |
| dc.department | Kırıkkale Üniversitesi | |
| dc.description.abstract | The paper deals with the semi-exponential type Gauss-Weierstrass operators. The central moments of these operators are constant functions. We estimate some direct results. We also provide a modification of such operators so as the preserve two exponential functions, we estimate weighted approximation, quantitative asymptotic formula for the modified form of operators. Later, a comparison is stated, that shows that in a certain sense and for certain family of illustrative functions the modified form of the semi-exponential Gauss-Weierstrass operators approximates better than the classical ones. Finally, we give some numerical results, which help us better understand the theoretical results obtained in the previous sections. | |
| dc.identifier.doi | 10.1007/s13324-022-00723-4 | |
| dc.identifier.issn | 1664-2368 | |
| dc.identifier.issn | 1664-235X | |
| dc.identifier.issue | 5 | |
| dc.identifier.uri | https://doi.org/10.1007/s13324-022-00723-4 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12587/25205 | |
| dc.identifier.volume | 12 | |
| dc.identifier.wos | WOS:000843351600001 | |
| dc.identifier.wosquality | Q1 | |
| dc.indekslendigikaynak | Web of Science | |
| dc.language.iso | en | |
| dc.publisher | Springer Basel Ag | |
| dc.relation.ispartof | Analysis and Mathematical Physics | |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | |
| dc.rights | info:eu-repo/semantics/closedAccess | |
| dc.snmz | KA_20241229 | |
| dc.subject | Gauss-Weierstrass operators; Quantitative asymptotic formula; Moments; Moment generating function; Semi-exponential Gauss-Weierstrass operators; Weighted approximation | |
| dc.title | On semi-exponential Gauss-Weierstrass operators | |
| dc.type | Article |
