On Approximation Properties of Α-Baskakov Operators: Graphical Investigations
| dc.authorwosid | Aslan, Reşat/Gyu-8340-2022 | |
| dc.authorwosid | Cai, Qing-Bo/Aaa-2715-2021 | |
| dc.authorwosid | Yuksel, Ismet/Ahd-2867-2022 | |
| dc.contributor.author | Quan, Jun-Jie | |
| dc.contributor.author | Aslan, Resat | |
| dc.contributor.author | Yuksel, Ismet | |
| dc.contributor.author | Odabasi, Nadire Fulda | |
| dc.contributor.author | Cai, Qing-Bo | |
| dc.date.accessioned | 2025-10-30T15:28:26Z | |
| dc.date.available | 2025-10-30T15:28:26Z | |
| dc.date.issued | 2025 | |
| dc.department | T.C. Van Yüzüncü Yıl Üniversitesi | en_US |
| dc.department-temp | [Quan, Jun-Jie] Jimei Univ, Chengyi Coll, Dept Math & Digital Sci, Xiamen 361021, Peoples R China; [Aslan, Resat] Van Yuzuncu Yil Univ, Dept Math, TR-65080 Van, Turkiye; [Yuksel, Ismet] Gazi Univ, Fac Sci, Dept Math, TR-06500 Ankara, Turkiye; [Odabasi, Nadire Fulda] Gazi Univ, Grad Sch Nat & Appl Sci, Dept Math, TR-06500 Besevler, Ankara, Turkiye; [Cai, Qing-Bo] Quanzhou Normal Univ, Sch Math & Comp Sci, Fujian Prov Key Lab Data Intens Comp, Key Lab Intelligent Comp & Informat Proc, Quanzhou 362000, Peoples R China | en_US |
| dc.description.abstract | This paper deals with some behavior of Baskakov-Schurer-Stancu type operators in approximating functions, grounded on non-negative parameter alpha. Firstly, we establish some needed moment estimations. Next, according to the famous Korovkin theorem we prove weighted approximation result of proposed operators. Also, we provide rate of convergence of these operators and as well as pointwise convergence theorems. Lastly, to demonstrate the efficiency and consistency of the operators, we provide some graphical representations. | en_US |
| dc.description.sponsorship | Van Yuzuncu Yil University Scientific Research Projects [FBA-2023-10867] | en_US |
| dc.description.sponsorship | The second author thanks to Van Yuzuncu Yil University Scientific Research Projects for FBA-2023-10867 grant. | en_US |
| dc.description.woscitationindex | Science Citation Index Expanded | |
| dc.identifier.doi | 10.1186/s13660-025-03377-5 | |
| dc.identifier.issn | 1029-242X | |
| dc.identifier.issue | 1 | en_US |
| dc.identifier.scopus | 2-s2.0-105018880331 | |
| dc.identifier.scopusquality | Q2 | |
| dc.identifier.uri | https://doi.org/10.1186/s13660-025-03377-5 | |
| dc.identifier.volume | 2025 | en_US |
| dc.identifier.wos | WOS:001594103300002 | |
| dc.identifier.wosquality | Q1 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer | en_US |
| dc.relation.ispartof | Journal of Inequalities and Applications | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Shape Parameter α | en_US |
| dc.subject | α-Baskakov Operators | en_US |
| dc.subject | Weighted Modulus of Continuity | en_US |
| dc.subject | Pointwise Approximation | en_US |
| dc.subject | Graphical Analysis | en_US |
| dc.title | On Approximation Properties of Α-Baskakov Operators: Graphical Investigations | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.coar.access | open access | |
| gdc.coar.type | text::journal::journal article |