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OPERATOR NORM AND ERROR BOUNDS FOR INTERPOLATING QUADRATIC SPLINES ON A NON-UNIFORM TYPE-2 TRIANGULATION OF A RECTANGULAR DOMAIN

OPERATOR NORM AND ERROR BOUNDS FOR INTERPOLATING QUADRATIC SPLINES ON A NON-UNIFORM TYPE-2 TRIANGULATION OF A RECTANGULAR DOMAIN
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摘要 The aim of this paper is to give upper bounds of the norm of the operator and associated error for a Lagrange interpolation problem by C^1 quadratic splines. The domain is rectangular and the type-2 triangulation is non--uniform. Moreover the location of data points allows a very simple compation of the interpolant. The aim of this paper is to give upper bounds of the norm of the operator and associated error for a Lagrange interpolation problem by C^1 quadratic splines. The domain is rectangular and the type-2 triangulation is non--uniform. Moreover the location of data points allows a very simple compation of the interpolant.
出处 《Analysis in Theory and Applications》 1994年第2期1-16,共16页 分析理论与应用(英文刊)
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