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THE GLOBAL APPROXIMATION BY LEFT-BERNSTEIN-DURRMEYER QUASI-INTERPOLANTS IN Lp[0,1] |
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| Authors: | Duan Liqin Li Cuixiang |
| Abstract: | In this paper, we will use the 2r-th Ditzian-Totik modulus of smoothness ω2r(f,t)p to discuss the direct and inverse theorem of approximation by Left-Bernstein-Durrmeyer quasi-interpolants Mn2r-1] f for functions of the space Lp0, 1] (1 ≤ p ≤ ∞). |
| Keywords: | direct and inverse theorem left-Bernstein-Durrmeyer quasi-interpolants modulus of smoothness APPROXIMATION functions space direct and inverse theorem approximation modulus of smoothness paper |
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