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A note on approximation properties of q-Durrmeyer operators |
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| Authors: | Xiao-Ming Zeng Diwang Lin Lingling Li |
| Affiliation: | Department of Mathematics, Xiamen University, Xiamen 361005, China |
| Abstract: | In this paper, the approximation properties of q-Durrmeyer operators Dn,q(f;x) for f∈C[0,1] are discussed. The exact class of continuous functions satisfying approximation process limn→∞Dn,q(f;x)=f(x) is determined. The results of the paper provide an elaboration of the previously-known ones on operators Dn,q. |
| Keywords: | q-Bernstein polynomials Positive linear operators q-Durrmeyer operators Approximation process Continuous functions |
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