Global smoothness of approximating functions
G.A. Anastassiou, C. Cottin, H.H. Gonska, Analysis 11 (1991).
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Anastassiou, George A.;
Cottin, Claudia
;
Gonska, Heinz H.
;
Gonska, Heinz H.Abstract
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.
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Analysis
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11
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1
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Anastassiou, George A. ; Cottin, Claudia ; Gonska, Heinz H.: Global smoothness of approximating functions. In: Analysis Bd. 11, Walter de Gruyter GmbH (1991), Nr. 1
Anastassiou GA, Cottin C, Gonska HH. Global smoothness of approximating functions. Analysis. 1991;11(1). doi:10.1524/anly.1991.11.1.43
Anastassiou, G. A., Cottin, C., & Gonska, H. H. (1991). Global smoothness of approximating functions. Analysis, 11(1). https://doi.org/10.1524/anly.1991.11.1.43
@article{Anastassiou_Cottin_Gonska_1991, title={Global smoothness of approximating functions}, volume={11}, DOI={10.1524/anly.1991.11.1.43}, number={1}, journal={Analysis}, publisher={Walter de Gruyter GmbH}, author={Anastassiou, George A. and Cottin, Claudia and Gonska, Heinz H.}, year={1991} }
Anastassiou, George A., Claudia Cottin, and Heinz H. Gonska. “Global Smoothness of Approximating Functions.” Analysis 11, no. 1 (1991). https://doi.org/10.1524/anly.1991.11.1.43.
G. A. Anastassiou, C. Cottin, and H. H. Gonska, “Global smoothness of approximating functions,” Analysis, vol. 11, no. 1, 1991.
Anastassiou, George A., et al. “Global Smoothness of Approximating Functions.” Analysis, vol. 11, no. 1, Walter de Gruyter GmbH, 1991, doi:10.1524/anly.1991.11.1.43.
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