Rational approximaion theory and applications

It is possible that the parameters occur as not to be linearly as much as the problems in which parameters occur as nonlinearly. For example the parameters as in the following approximation. f (x) sin[ (log x) ] ß ? ? It is difficult to develop a theory for these problems. General theories can be given under very limited circumstances. These Theories carry out precise properties of polynomial approximations. Rational approximations can be given as an example for that. Also Pade approximations display similar developments by sharing Taylor series approximation theory. Existences, unicity, characterization and the best approximation computing methods will be the subject of this study. Firstly, examples about Pade theory and continuous fraction will be studied and applied. Existences, unicity, characterization and the best approximation computing methods will be the subject of this study. Firstly, examples about Pade theory and continuous fraction will be studied and applied.