Applications of the Bernstein-Durrmeyer operators in estimating the norm of Mercer kernel matrices |
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| Authors: | Chunping Zhang Baohuai Sheng Zhixiang Chen |
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| Institution: | [1]Ningbo University, China [2]Shaoxing College of Arts and Sciences, China |
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| Abstract: | The paper is related to the norm estimate of Mercer kernel matrices.The lower and upper bound estimates of Rayleigh entropy numbers for some Mercer kernel matrices on0,1]×0,1]based on the Bernstein-Durrmeyer operator kernel ale obtained,with which and the approximation property of the Bernstein-Durrmeyer operator the lower and upper bounds of the Rayleigh entropy number and the l2-norm for general Mercer kernel matrices on0,1]×0,1]are provided. |
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| Keywords: | Mercer kernel matrix Rayleigh entropy number Bernstein-Durrmeyer operator |
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