{"publication_identifier":{"issn":["0174-4747"],"eissn":["2196-6753"]},"intvolume":"        11","publication":"Analysis","extern":"1","date_created":"2024-04-11T10:50:11Z","date_updated":"2025-02-22T08:05:35Z","user_id":"33935","author":[{"first_name":"George A.","full_name":"Anastassiou, George A.","last_name":"Anastassiou"},{"full_name":"Cottin, Claudia","last_name":"Cottin","orcid":"0000-0001-9212-5027","id":"33935","first_name":"Claudia"},{"full_name":"Gonska, Heinz H.","last_name":"Gonska","first_name":"Heinz H."}],"publisher":"Walter de Gruyter GmbH","doi":"10.1524/anly.1991.11.1.43","issue":"1","_id":"4480","status":"public","title":"Global smoothness of approximating functions","publication_status":"published","type":"journal_article","year":"1991","citation":{"apa":"Anastassiou, G. A., Cottin, C., &#38; Gonska, H. H. (1991). Global smoothness of approximating functions. <i>Analysis</i>, <i>11</i>(1). <a href=\"https://doi.org/10.1524/anly.1991.11.1.43\">https://doi.org/10.1524/anly.1991.11.1.43</a>","ama":"Anastassiou GA, Cottin C, Gonska HH. Global smoothness of approximating functions. <i>Analysis</i>. 1991;11(1). doi:<a href=\"https://doi.org/10.1524/anly.1991.11.1.43\">10.1524/anly.1991.11.1.43</a>","ieee":"G. A. Anastassiou, C. Cottin, and H. H. Gonska, “Global smoothness of approximating functions,” <i>Analysis</i>, vol. 11, no. 1, 1991.","bibtex":"@article{Anastassiou_Cottin_Gonska_1991, title={Global smoothness of approximating functions}, volume={11}, DOI={<a href=\"https://doi.org/10.1524/anly.1991.11.1.43\">10.1524/anly.1991.11.1.43</a>}, number={1}, journal={Analysis}, publisher={Walter de Gruyter GmbH}, author={Anastassiou, George A. and Cottin, Claudia and Gonska, Heinz H.}, year={1991} }","mla":"Anastassiou, George A., et al. “Global Smoothness of Approximating Functions.” <i>Analysis</i>, vol. 11, no. 1, Walter de Gruyter GmbH, 1991, doi:<a href=\"https://doi.org/10.1524/anly.1991.11.1.43\">10.1524/anly.1991.11.1.43</a>.","short":"G.A. Anastassiou, C. Cottin, H.H. Gonska, Analysis 11 (1991).","alphadin":"<span style=\"font-variant:small-caps;\">Anastassiou, George A.</span> ; <span style=\"font-variant:small-caps;\">Cottin, Claudia</span> ; <span style=\"font-variant:small-caps;\">Gonska, Heinz H.</span>: Global smoothness of approximating functions. In: <i>Analysis</i> Bd. 11, Walter de Gruyter GmbH (1991), Nr. 1","chicago":"Anastassiou, George A., Claudia Cottin, and Heinz H. Gonska. “Global Smoothness of Approximating Functions.” <i>Analysis</i> 11, no. 1 (1991). <a href=\"https://doi.org/10.1524/anly.1991.11.1.43\">https://doi.org/10.1524/anly.1991.11.1.43</a>."},"alternative_id":["5638"],"abstract":[{"text":"We investigate the conditions under which global smoothness of a function f (as measured by its modulus of continuity) is retained by the elements of approximating sequences (L n f). As one consequence we obtain statements concerning the invariance of Lipschitz classes under operators of several types. A crucial tool in our approach is the least concave majorant of a modulus of continuity.","lang":"eng"}],"volume":11,"language":[{"iso":"eng"}]}