On semi-exponential Gauss–Weierstrass operators

dc.contributor.authorGupta, Vijay
dc.contributor.authorAral, Ali
dc.contributor.authorÖzsaraç, Firat
dc.date.accessioned2025-01-21T16:28:08Z
dc.date.available2025-01-21T16:28:08Z
dc.date.issued2022
dc.departmentKırıkkale Üniversitesi
dc.description.abstractThe 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.doi10.1007/s13324-022-00723-4
dc.identifier.issn1664-2368
dc.identifier.issue5
dc.identifier.scopus2-s2.0-85136533486
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1007/s13324-022-00723-4
dc.identifier.urihttps://hdl.handle.net/20.500.12587/23495
dc.identifier.volume12
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherBirkhauser
dc.relation.ispartofAnalysis and Mathematical Physics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241229
dc.subjectGauss–Weierstrass operators; Moment generating function; Moments; Quantitative asymptotic formula; Semi-exponential Gauss–Weierstrass operators; Weighted approximation
dc.titleOn semi-exponential Gauss–Weierstrass operators
dc.typeArticle

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