On the Cardinal Spline Interpolation Corresponding to Infinite Order Differential Operators
<正> This paper discusses some problems on the cardinal spline interpolation correspond-ing to infinite order differential operators.The remainder formulas and a dual theorem are es-tablished for some convolution classes,where the kernels are PF densities.Moreover,the exacterror of appr...
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| Veröffentlicht in: | Acta mathematica Sinica. English series 1994-09, Vol.10 (3), p.315-324 |
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| container_title | Acta mathematica Sinica. English series |
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| creator | Dirong, Chen |
| description | <正> This paper discusses some problems on the cardinal spline interpolation correspond-ing to infinite order differential operators.The remainder formulas and a dual theorem are es-tablished for some convolution classes,where the kernels are PF densities.Moreover,the exacterror of approximation of a convolution class with interpolation cardinal splines is determined.The exact values of average n-Kolmogorov widths are obtained for the convolution class. |
| doi_str_mv | 10.1007/BF02560722 |
| format | Article |
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| ispartof | Acta mathematica Sinica. English series, 1994-09, Vol.10 (3), p.315-324 |
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| language | eng |
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| source | Springer Nature - Complete Springer Journals; Alma/SFX Local Collection |
| title | On the Cardinal Spline Interpolation Corresponding to Infinite Order Differential Operators |
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