{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,18]],"date-time":"2025-12-18T20:00:30Z","timestamp":1766088030582,"version":"build-2065373602"},"reference-count":27,"publisher":"MDPI AG","issue":"3","license":[{"start":{"date-parts":[[2023,2,22]],"date-time":"2023-02-22T00:00:00Z","timestamp":1677024000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100015999","name":"Lucian Blaga University of Sibiu","doi-asserted-by":"publisher","award":["LBUS-IRG-2022-08"],"award-info":[{"award-number":["LBUS-IRG-2022-08"]}],"id":[{"id":"10.13039\/501100015999","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>In a series of papers, most of them authored or co-authored by H. Gonska, several authors investigated problems concerning the composition and decomposition of positive linear operators defined on spaces of functions. For example, given two operators with known properties, A and B, we can find the properties of the composed operator A\u2218B, such as the eigenstructure, the inverse, the Voronovskaja formula, and the second-order central moments. One motivation for studying composed operators is the possibility to obtain better rates of approximation and better Voronovskaja formulas. Our paper will address such problems involving compositions of some classical positive linear operators. We present general results as well as numerical experiments.<\/jats:p>","DOI":"10.3390\/axioms12030228","type":"journal-article","created":{"date-parts":[[2023,2,22]],"date-time":"2023-02-22T02:57:38Z","timestamp":1677034658000},"page":"228","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["Composition and Decomposition of Positive Linear Operators (VIII)"],"prefix":"10.3390","volume":"12","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-1192-2281","authenticated-orcid":false,"given":"Ana Maria","family":"Acu","sequence":"first","affiliation":[{"name":"Department of Mathematics and Informatics, Lucian Blaga University of Sibiu, Str. Dr. I. Ratiu, No. 5-7, R-550012 Sibiu, Romania"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5206-030X","authenticated-orcid":false,"given":"Ioan","family":"Ra\u015fa","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Technical University of Cluj-Napoca, Str. Memorandumului No. 28, R-400114 Cluj-Napoca, Romania"}]},{"given":"Andra","family":"Seserman","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Technical University of Cluj-Napoca, Str. Memorandumului No. 28, R-400114 Cluj-Napoca, Romania"}]}],"member":"1968","published-online":{"date-parts":[[2023,2,22]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"213","DOI":"10.2298\/AADM191103006A","article-title":"On the composition and decomposition of positive linear operators (VII)","volume":"15","author":"Acu","year":"2021","journal-title":"Appl. Anal. Discrete Math."},{"key":"ref_2","unstructured":"Gonska, H. (1999). On the composition and decomposition of positive linear operators. In Approximation Theory and Its Applications. Pr. Inst. Mat. Nats. Akad. Nauk Ukr. Mat. Zastos Kiev, 161\u2013180. (In Ukrainian)."},{"key":"ref_3","first-page":"37","article-title":"On the composition and decomposition of positive linear operators IV: Favard-Bernstein operators revisited","volume":"20","author":"Gonska","year":"2012","journal-title":"Gen. Math."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"4097","DOI":"10.3934\/cpaa.2020182","article-title":"Reprezentations for the inverses of certain operators","volume":"19","author":"Acu","year":"2020","journal-title":"Commun. Pure Appl. Anal."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"95","DOI":"10.7153\/jmi-2018-12-07","article-title":"Another look at Voronovskaja type formulas","volume":"12","author":"Nasaireh","year":"2018","journal-title":"J. Math. 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