The present paper introduces a kind of Nevai-Durrmeyer operators which can be used to approximate functions in Lω^p, spaces with the weight ω（x）=1/√（1-x^2） and the approximate rate is also estimated.
The present paper gives a Jackson type estimate for Nevai operators under weighted L^p norm, and establishes the direct and converse theorems in some proper Besov spaces
基金Supported by Scientific Research Fund of Zhejiang Provincial Education Department(No. 20030431)the Young College Teachers Program of Zhejiang Province, and the Young Doctor Foundation of City of Ningbo (No. 2004A620017, 2005A620032).
文摘The present paper introduces a kind of Nevai-Durrmeyer operators which can be used to approximate functions in Lω^p, spaces with the weight ω（x）=1/√（1-x^2） and the approximate rate is also estimated.
基金Supported in part by National and Zhejiang Provincial Natural Science Foundations of China under grant numbers 10471130 and 101009 respectively.
文摘The present paper gives a Jackson type estimate for Nevai operators under weighted L^p norm, and establishes the direct and converse theorems in some proper Besov spaces
