We adopt the following symbols and notations. Let C;be the class of all real continuous functions in [0,1] which have N continuousderivatives, L;0,1];be the space of real pth power integrable functions on [0,1], and ...We adopt the following symbols and notations. Let C;be the class of all real continuous functions in [0,1] which have N continuousderivatives, L;0,1];be the space of real pth power integrable functions on [0,1], and Δ;, asusual, be the class of kth monotone functions.展开更多
Using the method of construction, with the help of inequalities, we research the Muntz rational approximation of two kinds of special function classes, and give the corresponding estimates of approximation rates of th...Using the method of construction, with the help of inequalities, we research the Muntz rational approximation of two kinds of special function classes, and give the corresponding estimates of approximation rates of these classes under widely con- ditions. Because of the Orlicz Spaces is bigger than continuous function space and the Lp space, so the results of this paper has a certain expansion significance.展开更多
In this paper, we research the Miintz rational approximation of two kinds of spe- cial function classes, and give the corresponding estimates of approximation rates of these classes.
基金Supported in part by Zhejiang Provincial Natural Science Foundation of Chinaa Special Research Fund ot" State Council of Education of China
文摘We adopt the following symbols and notations. Let C;be the class of all real continuous functions in [0,1] which have N continuousderivatives, L;0,1];be the space of real pth power integrable functions on [0,1], and Δ;, asusual, be the class of kth monotone functions.
基金supported by the National Science Foundation of China(No.11161033)Inner Mongolia Normal University Talent Project Foundation(No.RCPY-2-2012-K-036)
文摘Using the method of construction, with the help of inequalities, we research the Muntz rational approximation of two kinds of special function classes, and give the corresponding estimates of approximation rates of these classes under widely con- ditions. Because of the Orlicz Spaces is bigger than continuous function space and the Lp space, so the results of this paper has a certain expansion significance.
基金Supported by the National Natural Science Foundation of China(11161033)Inner Mongolia Natural Science Foundation (2009MS0105)
文摘In this paper, we research the Miintz rational approximation of two kinds of spe- cial function classes, and give the corresponding estimates of approximation rates of these classes.
