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Mathematics of Computation

Published by the American Mathematical Society, the Mathematics of Computation (MCOM) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.98.

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$L_ \infty$-boundedness of $L_ 2$-projections on splines for a multiple geometric mesh
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by Rong Qing Jia PDF
Math. Comp. 48 (1987), 675-690 Request permission

Abstract:

This paper concerns the ${L_2}$-projectors from ${L_\infty }$ to the normed linear space of polynomial splines. It is shown that for the multiple geometric meshes the ${L_\infty }$ norms of the corresponding ${L_2}$-projectors are bounded independently of the mesh ratio.
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Additional Information
  • © Copyright 1987 American Mathematical Society
  • Journal: Math. Comp. 48 (1987), 675-690
  • MSC: Primary 41A15; Secondary 15A60
  • DOI: https://doi.org/10.1090/S0025-5718-1987-0878699-7
  • MathSciNet review: 878699