Approximation by Rational Functions
Copyright policy )Approximation by Rational Functions
Making use of the Hardy-Littlewood maximal function, we give a new proof of the following theorem of Pekarski: If f ′ f’ is in L log L L\log L on a finite interval, then f f can be approximated in the uniform norm by rational functions of degree n n to an error O ( 1 / n ) O(1/n) on that interval.
- University of South Carolina United States
- University of South Carolina United States
- University of South Carolina System United States
330, Maximal functions, Littlewood-Paley theory, Multidimensional problems, Rate of convergence, degree of approximation, partition of unity, 004, Approximation by rational functions, uniform approximation, Rational Functions, Mathematics, maximal functions
330, Maximal functions, Littlewood-Paley theory, Multidimensional problems, Rate of convergence, degree of approximation, partition of unity, 004, Approximation by rational functions, uniform approximation, Rational Functions, Mathematics, maximal functions
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