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《Journal of Nanjing University(Mathematical Biquarterly)》 2018-01
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THE APPROXIMATION PROPERTIES BY BASKAKOV-TYPE OPERATORS IN H?LDER SPACE

Li Wenxia;Qi Qiulan;College of Mathematics and Information Science, Hebei Normal University;  
In the case of the H?lder(Lipschitz) norm, there are many interesting results on the convergence rate of different approximation processes. In recent years, the study of the approximation theorems of some well-known operators in the H?lder spaces has attracted people's attention. In this paper, the application of Baskakov-type operators in the H?lder space was discussed. Using the equivalent relation between the modulus of continuity and K-functional, the direct approximation of continuous functions in the H?lder norms by Baskakov-type operators was obtained.
【Fund】: 国家自然科学基金(11571089)的资助项目
【CateGory Index】: O177
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