On the construction and convergence of multivariate interpolation operators

Quantitative inheritance properties for simultaneous approximation by tensor product operators II: Applications

“…The tensor product of two linear operators was considered for example by Stancu [74] in 1964. For further references and results concerning the method (and other multivariate ones) see, e.g., a paper by Coatmelec [11], the dissertation of Haussmann [39], an article of Haussmann and Pottinger [40], and the ones by Mastroianni [54] and Lancaster [49]. Many other notes treated the method as well.…”

Zur Konvergenz mehrdimensionaler Interpolationsverfahren

“…Fur speziellc Funktionenraume lassen sich jedoch auch Aussagen von derselben Giite wie in einer Veriinderlichen gewinnen. Wir kommen in einer ausfuhrlicheren Darstellung hierauf zuruck [9].…”