On Approximation Properties of α-Baskakov Operators: Graphical Investigations

dc.authorscopusid 59917902700
dc.authorscopusid 57223898902
dc.authorscopusid 8248541800
dc.authorscopusid 60142779700
dc.authorscopusid 39760964200
dc.contributor.author Quan, J.-J.
dc.contributor.author Aslan, R.
dc.contributor.author Yuksel, İ.
dc.contributor.author Odabaşı, N.F.
dc.contributor.author Cai, Q.-B.
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] Junjie, Department of Mathematics and Digital Sciences, Jimei University, Xiamen, China; [Aslan] Reşat, Department of Mathematics, Van Yüzüncü Yıl Üniversitesi, Van, Turkey; [Yuksel] Ismet, Department of Mathematics, Gazi Üniversitesi, Ankara, Turkey; [Odabaşı] Nadire Fulda, Department of Mathematics, Gazi Üniversitesi, Ankara, Turkey; [Cai] Qingbo, Key Laboratory of Intelligent Computing and Information Processing, Quanzhou Normal University, Quanzhou, 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 α. 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. © 2025 Elsevier B.V., All rights reserved. en_US
dc.identifier.doi 10.1186/s13660-025-03377-5
dc.identifier.issn 1025-5834
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.uri https://hdl.handle.net/20.500.14720/28824
dc.identifier.volume 2025 en_US
dc.identifier.wosquality N/A
dc.language.iso en en_US
dc.publisher Springer Nature 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 Graphical Analysis en_US
dc.subject Pointwise Approximation en_US
dc.subject Shape Parameter Α en_US
dc.subject Weighted Modulus of Continuity en_US
dc.subject Α-Baskakov Operators en_US
dc.title On Approximation Properties of α-Baskakov Operators: Graphical Investigations en_US
dc.type Article en_US
dspace.entity.type Publication

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