A Cohen-Type Inequality for Jacobi-Sobolev Expansions
Let μ be the Jacobi measure supported on the interval [-1, 1]. Let us introduce the Sobolev-type inner product 〈f,g〉=∫−11f(x)g(x)dμ(x)+Mf(1)g(1)+Nf'(1)g'(1), where M,N≥0. In this paper we prove a Cohen-type inequality for the Fourier expansion i...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2008-02-01
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| Series: | Journal of Inequalities and Applications |
| Online Access: | http://dx.doi.org/10.1155/2007/93815 |