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Volumn 97, Issue 2, 1999, Pages 311-333

Generalised sk-Spline Interpolation on Compact Abelian Groups

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EID: 0347468999     PISSN: 00219045     EISSN: None     Source Type: Journal    
DOI: 10.1006/jath.1997.3267     Document Type: Article
Times cited : (10)

References (31)
  • 2
    • 0002014881 scopus 로고
    • A general method for constructing interpolating or smoothing spline functions
    • Anselone P. M., Laurent P.-J. A general method for constructing interpolating or smoothing spline functions. Numer. Math. 12:1968;66-82.
    • (1968) Numer. Math. , vol.12 , pp. 66-82
    • Anselone, P.M.1    Laurent, P.-J.2
  • 3
    • 0010601457 scopus 로고
    • Généralisation de la définition et des propriétés des "spline functions
    • Atteia M. Généralisation de la définition et des propriétés des "spline functions. Comp. Rend. 260:1965;3550-3553.
    • (1965) Comp. Rend. , vol.260 , pp. 3550-3553
    • Atteia, M.1
  • 4
    • 0346188070 scopus 로고
    • Perfect splines of minimum norm for monotone norms and norms induced by inner products, with applications to tensor product approximation andn
    • Dyn N. Perfect splines of minimum norm for monotone norms and norms induced by inner products, with applications to tensor product approximation andn. J. Approx. Theory. 38:1983;105-138.
    • (1983) J. Approx. Theory , vol.38 , pp. 105-138
    • Dyn, N.1
  • 6
    • 0346188075 scopus 로고
    • Trigonometric series and generalised periodic functions
    • Gorbacuk V. I., Gorbacuk M. L. Trigonometric series and generalised periodic functions. Dokl. Akad. Nauk SSSR. 257:1981;799-803.
    • (1981) Dokl. Akad. Nauk SSSR , vol.257 , pp. 799-803
    • Gorbacuk, V.I.1    Gorbacuk, M.L.2
  • 7
    • 0346188074 scopus 로고    scopus 로고
    • Interpolation by positive definite functions on compact groups with applications toSO
    • Gutzmer T. Interpolation by positive definite functions on compact groups with applications toSO. Results Math. 29:1996;69-77.
    • (1996) Results Math. , vol.29 , pp. 69-77
    • Gutzmer, T.1
  • 8
    • 84968498657 scopus 로고
    • A smoothest curve approximation
    • Holladay J. C. A smoothest curve approximation. Math. Comp. 11:1957;233-243.
    • (1957) Math. Comp. , vol.11 , pp. 233-243
    • Holladay, J.C.1
  • 10
    • 0348079412 scopus 로고
    • Sharp estimates of the widths of convolution classes
    • Kushpel A. K. Sharp estimates of the widths of convolution classes. Math. USSR Izv. 33:1989;631-649.
    • (1989) Math. USSR Izv. , vol.33 , pp. 631-649
    • Kushpel, A.K.1
  • 15
    • 0002642902 scopus 로고
    • Multivariate interpolation and conditonally positive definite functions
    • Madych W. R., Nelson S. A. Multivariate interpolation and conditonally positive definite functions. Approx. Theory Appl. 4:1988;77-89.
    • (1988) Approx. Theory Appl. , vol.4 , pp. 77-89
    • Madych, W.R.1    Nelson, S.A.2
  • 16
    • 84966244353 scopus 로고
    • Multivariate interpolation and conditonally positive definite functions, II
    • Madych W. R., Nelson S. A. Multivariate interpolation and conditonally positive definite functions, II. Math. Comp. 54:1990;211-230.
    • (1990) Math. Comp. , vol.54 , pp. 211-230
    • Madych, W.R.1    Nelson, S.A.2
  • 17
    • 34250122797 scopus 로고
    • Interpolation of scattered data: Distance matrices and conditionally positive definite functions
    • Micchelli C. A. Interpolation of scattered data: Distance matrices and conditionally positive definite functions. Constr. Approx. 2:1986;11-22.
    • (1986) Constr. Approx. , vol.2 , pp. 11-22
    • Micchelli, C.A.1
  • 22
    • 0010159451 scopus 로고
    • Some problems in the approximation of functions of two variables andn
    • Micchelli C. A., Pinkus A. Some problems in the approximation of functions of two variables andn. J. Approx. Theory. 24:1978;51-77.
    • (1978) J. Approx. Theory , vol.24 , pp. 51-77
    • Micchelli, C.A.1    Pinkus, A.2
  • 23
    • 0001134183 scopus 로고
    • Generalised Hermite interpolation and positive definite kernels on a Riemannian manifold
    • Narcowich F. J. Generalised Hermite interpolation and positive definite kernels on a Riemannian manifold. J. Math. Anal. Appl. 190:1995;165-193.
    • (1995) J. Math. Anal. Appl. , vol.190 , pp. 165-193
    • Narcowich, F.J.1
  • 24
    • 0010964964 scopus 로고
    • Berlin/New York: Springer-Verlag
    • Pinkus A. n. 1985;Springer-Verlag, Berlin/New York.
    • (1985) N
    • Pinkus, A.1
  • 26
    • 0040269734 scopus 로고
    • The fundamentality of translates of a continuous function on spheres
    • Sun X. The fundamentality of translates of a continuous function on spheres. Numer. Algorithms. 8:1994;131-134.
    • (1994) Numer. Algorithms , vol.8 , pp. 131-134
    • Sun, X.1
  • 29
    • 14544290310 scopus 로고
    • Local error estimates for radial basis function interpolation of scattered data
    • Wu Z., Schaback R. Local error estimates for radial basis function interpolation of scattered data. IMA J. Numer. Anal. 13:1993;13-27.
    • (1993) IMA J. Numer. Anal. , vol.13 , pp. 13-27
    • Wu, Z.1    Schaback, R.2
  • 30
    • 84966231566 scopus 로고
    • Strictly positive definite functions on spheres
    • Xu Y., Cheney E. W. Strictly positive definite functions on spheres. Proc. Amer. Math. Soc. 4:1992;977-981.
    • (1992) Proc. Amer. Math. Soc. , vol.4 , pp. 977-981
    • Xu, Y.1    Cheney, E.W.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.