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  • Articles  (2)
  • 65F10  (1)
  • Bernstein-Durrmeyer operator  (1)
  • Best lower estimate  (1)
  • 1995-1999  (2)
  • Mathematics  (2)
  • Geography
  • 1
    Electronic Resource
    Electronic Resource
    A quasi-wavelet algorithm for second kind boundary integral equations (1999)
    Springer
    Advances in computational mathematics 11 (1999), S. 355-375 
    Details
    ISSN: 1572-9044
    Keywords: periodic quasi-wavelet ; integral equation ; multiscale ; 45G10 ; 65F10 ; 65J15 ; 65N30
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract In solving integral equations with a logarithmic kernel, we combine the Galerkin approximation with periodic quasi-wavelet (PQW) [4]. We develop an algorithm for solving the integral equations with only O(N log N) arithmetic operations, where N is the number of knots. We also prove that the Galerkin approximation has a polynomial rate of convergence.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1018992413504
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  • 2
    Electronic Resource
    Electronic Resource
    The lower estimate for linear positive operators, I (1995)
    Springer
    Constructive approximation 11 (1995), S. 53-66 
    Details
    ISSN: 1432-0940
    Keywords: 41A36 ; 41A40 ; 41A27 ; 41A10 ; Best lower estimate ; Convolution operator ; Bernstein polynomial operator ; Bernstein-Durrmeyer operator
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract A method to prove lower estimates for linear operators is introduced. As a result the best lower estimate for certain convolution operators, for the multivariate Bernstein-Durrmeyer operators in part I and the Bernstein polynomial operators in part II (see [10]), are obtained.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01294338
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