메뉴 건너뛰기




Volumn 77, Issue 1, 1997, Pages 105-122

Integral error formulæ for the scale of mean value interpolations which includes Kergin and Hakopian interpolation

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0031504518     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002110050280     Document Type: Article
Times cited : (5)

References (28)
  • 1
    • 0040214260 scopus 로고
    • On bounding spline interpolation
    • de Boor, C. (1975): On bounding spline interpolation. J. Approx. Theory 14, 191-203
    • (1975) J. Approx. Theory , vol.14 , pp. 191-203
    • De Boor, C.1
  • 4
    • 0041112029 scopus 로고
    • On Kergin interpolation in the disk
    • Bos, L. (1983): On Kergin interpolation in the disk. J. Approx. Theory 37, 251-261
    • (1983) J. Approx. Theory , vol.37 , pp. 251-261
    • Bos, L.1
  • 5
    • 0005389755 scopus 로고
    • Multivariate interpolation and the Radon transform
    • Cavaretta, A. S., Micchelli, C. A., Sharma, A. (1980): Multivariate interpolation and the Radon transform. Math. Z. 174, 263-279
    • (1980) Math. Z. , vol.174 , pp. 263-279
    • Cavaretta, A.S.1    Micchelli, C.A.2    Sharma, A.3
  • 6
    • 0039030242 scopus 로고
    • Multivariate interpolation and the Radon transform, part II: Some further examples
    • DeVore, R., Scherer, K. (eds.) Akademic Press, New York
    • Cavaretta, A. S., Micchelli, C. A., Sharma, A. (1980): Multivariate interpolation and the Radon transform, part II: Some further examples. In: DeVore, R., Scherer, K. (eds.) Quantitative Approximation, 49-61. Akademic Press, New York
    • (1980) Quantitative Approximation , pp. 49-61
    • Cavaretta, A.S.1    Micchelli, C.A.2    Sharma, A.3
  • 7
    • 0010814932 scopus 로고
    • Multivariate interpolation and the Radon transform, part III: Lagrange representation
    • Cavaretta, A. S., Micchelli, C. A., Sharma, A. (1983): Multivariate interpolation and the Radon transform, part III: Lagrange representation. Can. Math. Soc. Conf. Proc. 3, 37-50
    • (1983) Can. Math. Soc. Conf. Proc. , vol.3 , pp. 37-50
    • Cavaretta, A.S.1    Micchelli, C.A.2    Sharma, A.3
  • 8
    • 84966210731 scopus 로고
    • On the linear independence of multivariate B-splines II: Complete configurations
    • Dahmen, W. A., Micchelli, C. A. (1983): On the linear independence of multivariate B-splines II: complete configurations. Math. Comp. 41(163), 143-163
    • (1983) Math. Comp. , vol.41 , Issue.163 , pp. 143-163
    • Dahmen, W.A.1    Micchelli, C.A.2
  • 10
    • 0038285691 scopus 로고
    • A divided difference formula for the error in Hermite interpolation
    • Dokken, T., Lyche, T. (1979): A divided difference formula for the error in Hermite interpolation. BIT 19, 540-542
    • (1979) BIT , vol.19 , pp. 540-542
    • Dokken, T.1    Lyche, T.2
  • 12
    • 0039546935 scopus 로고
    • Multivariate quasi-Newton interpolation
    • Gao, J. B. (1988): Multivariate quasi-Newton interpolation. J. Math. Res. Exposition (in Chinese) 8(3), 447-453
    • (1988) J. Math. Res. Exposition (in Chinese) , vol.8 , Issue.3 , pp. 447-453
    • Gao, J.B.1
  • 13
    • 0005390730 scopus 로고
    • Interpolation in minimum semi-norm, and multivariate B-splines
    • Goodman, T. N. T. (1983): Interpolation in minimum semi-norm, and multivariate B-splines. J. Approx. Theory 37, 212-223
    • (1983) J. Approx. Theory , vol.37 , pp. 212-223
    • Goodman, T.N.T.1
  • 14
    • 0005425445 scopus 로고
    • Les differences divisées de plusieurs variables et les interpolations multidimensionnelles de types Lagrangien et Hermitien
    • Hakopian, H. (1981): Les differences divisées de plusieurs variables et les interpolations multidimensionnelles de types Lagrangien et Hermitien. C. R. Acad. Sci. Paris Ser. 1 292, 453-456
    • (1981) C. R. Acad. Sci. Paris Ser. 1 , vol.292 , pp. 453-456
    • Hakopian, H.1
  • 15
    • 0001131285 scopus 로고
    • Multivariate divided differences and multivariate interpolation of Lagrange and Hermite type
    • Hakopian, H. (1982): Multivariate divided differences and multivariate interpolation of Lagrange and Hermite type. J. Approx. Theory 34, 286-305
    • (1982) J. Approx. Theory , vol.34 , pp. 286-305
    • Hakopian, H.1
  • 16
    • 0039546936 scopus 로고
    • Multivariate splines
    • de Boor, C. (ed.) Amer. Math. Soc., Providence
    • Höllig, K. (1986): Multivariate splines. In: de Boor, C. (ed.) Approximation Theory, Proc. Symp. Appl. Math. 36, 103-127. Amer. Math. Soc., Providence
    • (1986) Approximation Theory, Proc. Symp. Appl. Math. , vol.36 , pp. 103-127
    • Höllig, K.1
  • 17
    • 4243284589 scopus 로고
    • Divided differences, hyperbolic equations, and lifting distributions
    • Höllig, K., Micchelli, C. A. (1987): Divided differences, hyperbolic equations, and lifting distributions. Constr. Approx. 3, 143-156
    • (1987) Constr. Approx. , vol.3 , pp. 143-156
    • Höllig, K.1    Micchelli, C.A.2
  • 19
    • 0010886345 scopus 로고
    • A note to the remainder of a multivariate interpolation polynomial
    • Lai, Mingjun, Wang, Xinghua (1984): A note to the remainder of a multivariate interpolation polynomial. Approx. Theory Appl. 1(1), 57-63
    • (1984) Approx. Theory Appl. , vol.1 , Issue.1 , pp. 57-63
    • Lai, M.1    Wang, X.2
  • 20
    • 0040138380 scopus 로고
    • On multivariate Newtonian interpolation
    • Lai, Mingjun, Wang, Xinghua (1986): On multivariate Newtonian interpolation. Sci. Sinica Ser. A 29(1), 23-32
    • (1986) Sci. Sinica Ser. A , vol.29 , Issue.1 , pp. 23-32
    • Lai, M.1    Wang, X.2
  • 23
    • 0038597970 scopus 로고
    • On a numerically efficient method for computing multivariate B-splines
    • Schempp, W., Zeller, K. (eds.) Birkhäuser, Basel
    • Micchelli, C. A. (1979): On a numerically efficient method for computing multivariate B-splines. In. Schempp, W., Zeller, K. (eds.) Multivariate Approximation Theory, 211-248. Birkhäuser, Basel
    • (1979) Multivariate Approximation Theory , pp. 211-248
    • Micchelli, C.A.1
  • 24
    • 0001541250 scopus 로고
    • k: Multivariate B-splines and Lagrange interpolation
    • k: multivariate B-splines and Lagrange interpolation. Rocky Mountain J. Math. 10, 485-497
    • (1980) Rocky Mountain J. Math. , vol.10 , pp. 485-497
    • Micchelli, C.A.1
  • 25
    • 0031539774 scopus 로고    scopus 로고
    • p-error bounds for multivariate Lagrange interpolation schemes
    • p-error bounds for multivariate Lagrange interpolation schemes. SIAM J. Math. Anal. 28(1), 233-258
    • (1997) SIAM J. Math. Anal. , vol.28 , Issue.1 , pp. 233-258
    • Waldron, S.1
  • 26
    • 2942672910 scopus 로고
    • The remainder of numerical differentiation formulæ
    • Wang, Xinghua (1978): The remainder of numerical differentiation formulæ. Hang Zhou Da Xue Xue Bao (in Chinese) 4(1) 1-10
    • (1978) Hang Zhou Da Xue Xue Bao (in Chinese) , vol.4 , Issue.1 , pp. 1-10
    • Wang, X.1
  • 27
    • 0038285692 scopus 로고
    • On remainders of numerical differentiation formulas
    • Wang, Xinghua (1979): On remainders of numerical differentiation formulas. Ke Xue Tong Bao (in Chinese) 24(19) 869-872
    • (1979) Ke Xue Tong Bao (in Chinese) , vol.24 , Issue.19 , pp. 869-872
    • Wang, X.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.