Lecture
Interpolation Theory: Embedding and Completeness
In course
DEMO: ipsum cupidatat cillum
Cillum excepteur reprehenderit amet nostrud. Non labore do exercitation qui laboris cillum veniam elit Lorem ea aute fugiat non deserunt. Ex commodo laboris nostrud id adipisicing qui mollit nostrud consectetur dolor amet pariatur mollit ipsum. Excepteur cillum aliqua exercitation deserunt ipsum consequat velit occaecat voluptate.
Description
This lecture covers the embedding of spaces, proving that certain functions are continuously embedded, and checking the completeness of spaces. It also explores the connection between interpolation theory and approximation theory, providing examples and corollaries.
Official source
About this result
This page is automatically generated and may contain information that is not correct, complete, up-to-date, or relevant to your search query. The same applies to every other page on this website. Please make sure to verify the information with EPFL's official sources.
Related lectures (30)
Lagrange Interpolation
Introduces Lagrange interpolation for approximating data points with polynomials, discussing challenges and techniques for accurate interpolation.
Interpolation of a Continuous FunctionMOOC: Numerical Analysis for Engineers
Explores the interpolation of a continuous function by a polynomial.
Finite Element Interpolation: Clément Operator
Explores finite element interpolation using the Clément operator for non-continuous functions and discusses error estimation.
Distribution & Interpolation Spaces
Explores distribution and interpolation spaces, showcasing their importance in mathematical analysis and the computations involved.
Derivatives and Functions
Covers the theorem of the intermediate value, corollaries, and geometric interpretation of derivatives.