On semi-exponential Gauss–Weierstrass operators
dc.contributor.author | Gupta, Vijay | |
dc.contributor.author | Aral, Ali | |
dc.contributor.author | Özsaraç, Firat | |
dc.date.accessioned | 2025-01-21T16:28:08Z | |
dc.date.available | 2025-01-21T16:28:08Z | |
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. © 2022, The Author(s), under exclusive licence to Springer Nature Switzerland AG. | |
dc.identifier.doi | 10.1007/s13324-022-00723-4 | |
dc.identifier.issn | 1664-2368 | |
dc.identifier.issue | 5 | |
dc.identifier.scopus | 2-s2.0-85136533486 | |
dc.identifier.scopusquality | Q1 | |
dc.identifier.uri | https://doi.org/10.1007/s13324-022-00723-4 | |
dc.identifier.uri | https://hdl.handle.net/20.500.12587/23495 | |
dc.identifier.volume | 12 | |
dc.indekslendigikaynak | Scopus | |
dc.language.iso | en | |
dc.publisher | Birkhauser | |
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; Moment generating function; Moments; Quantitative asymptotic formula; Semi-exponential Gauss–Weierstrass operators; Weighted approximation | |
dc.title | On semi-exponential Gauss–Weierstrass operators | |
dc.type | Article |