2014Computer Engineering and Applications JournalOpen access

Parameter method of constructing rational interpolating function

Sun Meila

Open full text 1 citations

Abstract

There are a lot of excellent conclusions for the study of rational interpolating problem with the rational fractional function decided degree type. Whether rational interpolating problem has a solution or not depends on the given function values f(xi)i = 01m + n of the being interpolated function. It is pointed out that the rational interpolating problem always has solutions when the sum of the degree of numerator polynomial and denominator Poly-nomial isN. Proceeding from the hypothetical degree type of rational interpolating function, the positive integer parameterdis introduced and a method for the determination of rational interpolating functions is presented. The method can construct rational fraction functions satisfying the interpolating conditions and it is more flexible with a small amount of calculation.

About this research paper

What this paper is about

There are a lot of excellent conclusions for the study of rational interpolating problem with the rational fractional function decided degree type. Whether rational interpolating problem has a solution or not depends on the given function values f(xi)i = 01m + n of the being interpolated function. It is pointed out that the rational interpolating problem always has solutions when the sum of the degree of numerator polynomial and denominator Poly-nomial isN. Proceeding from the hypothetical degree type of rational interpolating function, the positive integer parameterdis introduced and a method for the determination of rational interpolating functions is presented. The method can construct rational fraction functions satisfying the interpolating conditions and it is more flexible with a small amount of calculation.

Why it matters

OpenAlex reports 1 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

There are a lot of excellent conclusions for the study of rational interpolating problem with the rational fractional function decided degree type. Whether rational interpolating problem has a solution or not depends on the given function values f(xi)i = 01m + n of the being interpolated function. It is pointed out that the rational interpolating problem always has solutions when the sum of the degree of numerator polynomial and denominator Poly-nomial isN. Proceeding from the hypothetical degree type of rational interpolating function, the positive integer parameterdis introduced and a method for the determination of rational interpolating functions is presented. The method can construct rational fraction functions satisfying the interpolating conditions and it is more flexible with a small amount of calculation.

Key concepts: Rational function, Mathematics, Degree (music), Polynomial and rational function modeling, Function (biology), Integer (computer science), Polynomial, Interpolation (computer graphics)

Related papers

Back to paper searchBrowse research topicsOriginal source
Parameter method of constructing rational interpolating function — Research Paper | ScholarLens