On weighted approximation by rational operators for functions with singularities |
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Authors: | Dansheng Yu |
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Affiliation: | 1. Department of Mathematics, Hangzhou Normal University, Hangzhou Zhejiang, 310036, China
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Abstract: | We construct a new kind of rational operator which can be used to approximate functions with endpoints singularities by algebric weights in [?1,1], and establish new direct and converse results involving higher modulus of smoothness and a very general class of step functions, which cannot be obtained by weighted polynomial approximation. Our results also improve related results of Della Vecchia?[5]. |
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