Approximation by Bézier variants of the BBHK operators |
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Institution: | Department of Mathematics, Xiamen University, Haibin, Building 43-202, Xiamen 361005, China |
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Abstract: | In this work a new type of approximation operator—the Bézier variant of the BBHK operator—is introduced. Its approximation properties are studied. A convergence theorem for such approximation operators for locally bounded functions is established by means of some techniques of probability theory and analysis methods. This convergence theorem subsumes the approximation of functions of bounded variation as a special case. |
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