A Generalization of Szasz-Mirakyan Operators Based on alpha Non-Negative Parameter
dc.authorid | ansari, khursheed J./0000-0003-4564-6211 | |
dc.authorwosid | ansari, khursheed J./L-7415-2016 | |
dc.contributor.author | Ansari, Khursheed J. | |
dc.contributor.author | Usta, Fuat | |
dc.date.accessioned | 2023-07-26T11:59:11Z | |
dc.date.available | 2023-07-26T11:59:11Z | |
dc.date.issued | 2022 | |
dc.department | DÜ, Fen-Edebiyat Fakültesi, Matematik Bölümü | en_US |
dc.description.abstract | The main purpose of this paper is to define a new family of Szasz-Mirakyan operators that depends on a non-negative parameter, say alpha. This new family of Szasz-Mirakyan operators is crucial in that it includes both the existing Szasz-Mirakyan operator and allows the construction of new operators for different values of alpha. Then, the convergence properties of the new operators with the aid of the Popoviciu-Bohman-Korovkin theorem-type property are presented. The Voronovskaja-type theorem and rate of convergence are provided in a detailed proof. Furthermore, with the help of the classical modulus of continuity, we deduce an upper bound for the error of the new operator. In addition to these, in order to show that the convex or monotonic functions produced convex or monotonic operators, we obtain shape-preserving properties of the new family of Szasz-Mirakyan operators. The symmetry of the properties of the classical Szasz-Mirakyan operator and of the properties of the new sequence is investigated. Moreover, we compare this operator with its classical correspondence to show that the new one has superior properties. Finally, some numerical illustrative examples are presented to strengthen our theoretical results. | en_US |
dc.description.sponsorship | Deanship of Scientific Research at King Khalid University [R.G.P.2/210/43] | en_US |
dc.description.sponsorship | The authors extend their appreciation to the Deanship of Scientific Research at King Khalid University for funding this work through research groups program under Grant number R.G.P.2/210/43. The authors are grateful to the responsible Editor and the anonymous reviewers for their valuable comments and suggestions, which have greatly improved this paper. | en_US |
dc.identifier.doi | 10.3390/sym14081596 | |
dc.identifier.issn | 2073-8994 | |
dc.identifier.issue | 8 | en_US |
dc.identifier.scopus | 2-s2.0-85137361549 | en_US |
dc.identifier.scopusquality | Q2 | en_US |
dc.identifier.uri | https://doi.org/10.3390/sym14081596 | |
dc.identifier.uri | https://hdl.handle.net/20.500.12684/13654 | |
dc.identifier.volume | 14 | en_US |
dc.identifier.wos | WOS:000845543000001 | en_US |
dc.identifier.wosquality | Q2 | en_US |
dc.indekslendigikaynak | Web of Science | en_US |
dc.indekslendigikaynak | Scopus | en_US |
dc.institutionauthor | Usta, Fuat | |
dc.language.iso | en | en_US |
dc.publisher | Mdpi | en_US |
dc.relation.ispartof | Symmetry-Basel | en_US |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
dc.rights | info:eu-repo/semantics/openAccess | en_US |
dc.snmz | $2023V1Guncelleme$ | en_US |
dc.subject | Szasz-Mirakyan Operators; Modulus Of Continuity; Voronovskaja Theorem; Korovkin-Type Theorem; Shape-Preserving Approximation | en_US |
dc.subject | Approximation | en_US |
dc.title | A Generalization of Szasz-Mirakyan Operators Based on alpha Non-Negative Parameter | en_US |
dc.type | Article | en_US |
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