Title : APPROXIMATION PROCESSES OF FRACTIONAL INTERPOLATION TYPE OPERATORS Authors : Nishishiraho, Toshihiko Authors alternative : 西白保, 敏彦 Issue Date : 30-Dec-2007 Abstract : We consider approximation processes of fractional interpolation type operators on spaces of functions taking values in normed linear spaces. Consequently, we obtain a far-reaching generalization of the Bernstein type rational functions on [0,$\infty$] to the multidimensional case for vector-valued functions, and approximation theorems by them with the rate of convergence in terms of the modulus of continuity of functions to be approximated. Type Local : 紀要論文 ISSN : 1344-008X Publisher : Department of Mathematical Science, Faculty of Science, University of the Ryukyus URI : http://hdl.handle.net/20.500.12000/5128 Citation : Ryukyu mathematical journal Vol.20 p.25 -42 Appears in Collections : Vol.20 (2007)