{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,31]],"date-time":"2026-07-31T11:42:24Z","timestamp":1785498144309,"version":"3.56.0"},"reference-count":47,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2022,2,9]],"date-time":"2022-02-09T00:00:00Z","timestamp":1644364800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>In this paper, we define and study q-statistical limit point, q-statistical cluster point, q-statistically Cauchy, q-strongly Ces\u00e0ro and statistically C1q-summable sequences. We establish relationships of q-statistical convergence with q-statistically Cauchy, q-strongly Ces\u00e0ro and statistically C1q-summable sequences. Further, we apply q-statistical convergence to prove a Korovkin type approximation theorem.<\/jats:p>","DOI":"10.3390\/axioms11020070","type":"journal-article","created":{"date-parts":[[2022,2,9]],"date-time":"2022-02-09T21:19:06Z","timestamp":1644441546000},"page":"70","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":64,"title":["Statistical Convergence via q-Calculus and a Korovkin\u2019s Type Approximation Theorem"],"prefix":"10.3390","volume":"11","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-2566-3498","authenticated-orcid":false,"given":"Mohammad","family":"Ayman Mursaleen","sequence":"first","affiliation":[{"name":"School of Information and Physical Sciences, The University of Newcastle, Callaghan, NSW 2308, Australia"},{"name":"Department of Mathematics and Statistics, Faculty of Science, Universiti Putra Malaysia, Serdang 43400, Malaysia"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9477-109X","authenticated-orcid":false,"given":"Stefano","family":"Serra-Capizzano","sequence":"additional","affiliation":[{"name":"Department of Science and High Technology, University of Insubria, Via Valleggio 11, 22100 Como, Italy"},{"name":"Department of Information Technology, Division of Scientific Computing, Uppsala University\u2014ITC, L Gerhyddsv. 2, Hus 2, P.O. Box 337, SE-751 05 Uppsala, Sweden"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2022,2,9]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Kac, V., and Cheung, P. (2002). Quantum Calculus, Springer.","DOI":"10.1007\/978-1-4613-0071-7"},{"key":"ref_2","first-page":"7392","article-title":"Properties of some q-Hausdorff matrices","volume":"219","author":"Akgun","year":"2013","journal-title":"Appl. Math. 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