Polynomial Approximation on Polytopes (eBook)

Vilmos Totik (Autor)

eBook Download: PDF

112 Seiten
American Mathematical Society (Verlag)
978-1-4704-1894-6 (ISBN)

Infos

Polynomial approximation on convex polytopes in $/mathbf{R}^d$ is considered in uniform and $L^p$-norms. For an appropriate modulus of smoothness matching direct and converse estimates are proven. In the $L^p$-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.

Produkt-Details

• Themenwelt: Mathematik / Informatik ► Mathematik ► Analysis
• Themenwelt: Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
• Themenwelt: Mathematik / Informatik ► Mathematik ► Graphentheorie
• ISBN-10: 1-4704-1894-0 / 1470418940
• ISBN-13: 978-1-4704-1894-6 / 9781470418946