Approximation and Complexity II: Iterated Integration | Zendy

Dima Grigoriev | Zendy

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Approximation and Complexity II: Iterated Integration

Author(s) -

Dima Grigoriev

Publication year - 2002

Publication title -

foundations of computational mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.451

H-Index - 65

eISSN - 1615-3383

pISSN - 1615-3375

DOI - 10.1007/s102080010023

Subject(s) - subring , mathematics , pfaffian , multiplication (music) , iterated function , rational function , discrete mathematics , rational number , polynomial , ring (chemistry) , algebra over a field , pure mathematics , combinatorics , mathematical analysis , chemistry , organic chemistry

We introduce two classes of real analytic functions W U on aninterval. Starting with rational functions, for constructing functionsfrom W we allow applying two types of operations: integrating andmultiplying by a polynomial with rational coecients. In a similarway, for constructing functions from U we allow integrating and additionsand multiplications of already constructed functions from U andmultiplications by rational numbers. Thus, U is a subring of the ringof Pfaan...

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