Polynomial approximation on polytopes
著者
書誌事項
Polynomial approximation on polytopes
（Memoirs of the American Mathematical Society, no. 1091）
American Mathematical Society, c2014
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注記
"Volume 232, number 1091 (third of 6 numbers), November 2014"
Includes bibliographical references (p. 111-112)
内容説明・目次
内容説明
Polynomial approximation on convex polytopes in d is considered in uniform and Lp-norms. For an appropriate modulus of smoothness matching direct and converse estimates are proven. In the Lp -case so called strong direct and converse results are also verified. The equivalence of the moduli of smoothness with an appropriate K -functional follows as a consequence.
The results solve a problem that was left open since the mid 1980s when some of the present findings were established for special, so-called simple polytopes.
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