a method to obtain the best uniform polynomial approximation for the family of rational function

نویسندگان

m. a. fariborzi araghi

department of mathematics, islamic azad university, central tehran branch f. froozanfar

ms.student of mathematics, islamic azad university, kermanshah branch, kermanshah, iran

چکیده

in this article, by using chebyshev’s polynomials and chebyshev’s expansion, we obtain the best uniform polynomial approximation out of p2n to a class of rational functions of the form (ax2+c)-1 on any non symmetric interval [d,e]. using the obtained approximation, we provide the best uniform polynomial approximation to a class of rational functions of the form (ax2+bx+c)-1 for both cases b2-4ac l 0 and b2-4ac g 0.

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A method to obtain the best uniform polynomial approximation for the family of rational function

In this article, by using Chebyshev’s polynomials and Chebyshev’s expansion, we obtain the best uniform polynomial approximation out of P2n to a class of rational functions of the form (ax2+c)-1 on any non symmetric interval [d,e]. Using the obtained approximation, we provide the best uniform polynomial approximation to a class of rational functions of the form (ax2+bx+c)-1 for both cases b2-4a...

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عنوان ژورنال:
iranian journal of optimization

جلد ۷، شماره ۱، صفحات ۷۵۳-۷۶۶

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