{"date_updated":"2025-02-18T09:45:54Z","type":"journal_article","author":[{"first_name":"Claudia","last_name":"Cottin","id":"33935","full_name":"Cottin, Claudia"}],"extern":"1","status":"public","publication_identifier":{"issn":["0174-4747"],"eissn":["2196-6753"]},"volume":13,"publication":"Analysis","publisher":"Walter de Gruyter GmbH","page":"185-200","year":"1993","_id":"5637","title":"Directional extensions of univariate operators and Boolean sum approximation","abstract":[{"text":"Many approximation processes for multivariate real-valued functions are constructed on the basis of parametric extensions of univariate approximation operators. A parametric extension of a univariate operator with respect to the ν-th component is defined in such a way that it acts on a multivariate function as if all variables except of the ν- th one were fixed. We generalize this approach by introducing directional extensions of univariate operators, which are defined similarly as parametric extension, but with respect to some arbitrary direction in ℝ d . In particular, we investigate approximation by Boolean sums of directional extension operators.","lang":"eng"}],"language":[{"iso":"eng"}],"issue":"1-2","citation":{"short":"C. Cottin, Analysis 13 (1993) 185–200.","bibtex":"@article{Cottin_1993, title={Directional extensions of univariate operators and Boolean sum approximation}, volume={13}, DOI={<a href=\"https://doi.org/10.1524/anly.1993.13.12.185\">10.1524/anly.1993.13.12.185</a>}, number={1–2}, journal={Analysis}, publisher={Walter de Gruyter GmbH}, author={Cottin, Claudia}, year={1993}, pages={185–200} }","chicago":"Cottin, Claudia. “Directional Extensions of Univariate Operators and Boolean Sum Approximation.” <i>Analysis</i> 13, no. 1–2 (1993): 185–200. <a href=\"https://doi.org/10.1524/anly.1993.13.12.185\">https://doi.org/10.1524/anly.1993.13.12.185</a>.","apa":"Cottin, C. (1993). Directional extensions of univariate operators and Boolean sum approximation. <i>Analysis</i>, <i>13</i>(1–2), 185–200. <a href=\"https://doi.org/10.1524/anly.1993.13.12.185\">https://doi.org/10.1524/anly.1993.13.12.185</a>","alphadin":"<span style=\"font-variant:small-caps;\">Cottin, Claudia</span>: Directional extensions of univariate operators and Boolean sum approximation. In: <i>Analysis</i> Bd. 13, Walter de Gruyter GmbH (1993), Nr. 1–2, S. 185–200","ieee":"C. Cottin, “Directional extensions of univariate operators and Boolean sum approximation,” <i>Analysis</i>, vol. 13, no. 1–2, pp. 185–200, 1993.","mla":"Cottin, Claudia. “Directional Extensions of Univariate Operators and Boolean Sum Approximation.” <i>Analysis</i>, vol. 13, no. 1–2, Walter de Gruyter GmbH, 1993, pp. 185–200, doi:<a href=\"https://doi.org/10.1524/anly.1993.13.12.185\">10.1524/anly.1993.13.12.185</a>.","ama":"Cottin C. Directional extensions of univariate operators and Boolean sum approximation. <i>Analysis</i>. 1993;13(1-2):185-200. doi:<a href=\"https://doi.org/10.1524/anly.1993.13.12.185\">10.1524/anly.1993.13.12.185</a>"},"user_id":"220548","intvolume":"        13","publication_status":"published","doi":"10.1524/anly.1993.13.12.185","date_created":"2025-02-16T18:58:28Z","alternative_id":["4479"]}