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  • 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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