Best Approximation by Linear Superpositions approximate Nomography is popular PDF and ePub book, written by S. I͡A. Khavinson in 1997-01-01, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Best Approximation by Linear Superpositions approximate Nomography can be Read Online from any device for your convenience.
Best Approximation by Linear Superpositions approximate Nomography Book PDF Summary
This book deals with problems of approximation of continuous or bounded functions of several variables by linear superposition of functions that are from the same class and have fewer variables. The main topic is the space of linear superpositions $D$ considered as a subspace of the space of continuous functions $C(X)$ on a compact space $X$. Such properties as density of $D$ in $C(X)$, its closedness, proximality, etc. are studied in great detail. The approach to these and other problems based on duality and the Hahn-Banach theorem is emphasized. Also, considerable attention is given to the discussion of the Diliberto-Straus algorithm for finding the best approximation of a given function by linear superpositions.
Detail Book of Best Approximation by Linear Superpositions approximate Nomography PDF
- Author : S. I͡A. Khavinson
- Release : 01 January 1997
- Publisher : American Mathematical Soc.
- ISBN : 0821804227
- Genre : Mathematics
- Total Page : 175 pages
- Language : English
- PDF File Size : 19,5 Mb
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