{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,31]],"date-time":"2026-03-31T00:50:22Z","timestamp":1774918222161,"version":"3.50.1"},"reference-count":30,"publisher":"MDPI AG","issue":"6","license":[{"start":{"date-parts":[[2021,5,31]],"date-time":"2021-05-31T00:00:00Z","timestamp":1622419200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>In this paper, we introduce and investigate a new class of the parametric generalization of the Baskakov-Schurer-Sz\u00e1sz-Stancu operators, which considerably extends the well-known class of the classical Baskakov-Schurer-Sz\u00e1sz-Stancu approximation operators. For this new class of approximation operators, we present a Korovkin type theorem and a Gr\u00fcss-Voronovskaya type theorem, and also study the rate of its convergence. Moreover, we derive several results which are related to the parametric generalization of the Baskakov-Schurer-Sz\u00e1sz-Stancu operators in the weighted spaces. Finally, we prove some shape-preserving properties for the parametric generalization of the Baskakov-Schurer-Sz\u00e1sz-Stancu operators and, as a special case, we deduce the corresponding shape-preserving properties for the classical Baskakov-Schurer-Sz\u00e1sz-Stancu approximation operators.<\/jats:p>","DOI":"10.3390\/sym13060980","type":"journal-article","created":{"date-parts":[[2021,5,31]],"date-time":"2021-05-31T23:33:33Z","timestamp":1622504013000},"page":"980","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":24,"title":["A Parametric Generalization of the Baskakov-Schurer-Sz\u00e1sz-Stancu Approximation Operators"],"prefix":"10.3390","volume":"13","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-8335-1129","authenticated-orcid":false,"given":"Naim Latif","family":"Braha","sequence":"first","affiliation":[{"name":"Department of Mathematics and Computer Sciences, University of Prishtina, Avenue \u201cMother Tereza\u201d Nr. 5, 10000 Prishtin\u00eb, Kosova"}]},{"given":"Toufik","family":"Mansour","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of Haifa, Haifa 3498838, Israel"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9277-8092","authenticated-orcid":false,"given":"Hari Mohan","family":"Srivastava","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Statistics, University of Victoria, Victoria, BC V8W 3R4, Canada"},{"name":"Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan"},{"name":"Department of Mathematics and Informatics, Azerbaijan University, 71 Jeyhun Hajibeyli Street, Baku AZ1007, Azerbaijan"},{"name":"Section of Mathematics, International Telematic University Uninettuno, I-00186 Rome, Italy"}]}],"member":"1968","published-online":{"date-parts":[[2021,5,31]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"239","DOI":"10.6028\/jres.045.024","article-title":"Generalization of S. 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