CAJ | 학술논문

文章从Lagrange插值多项式出发，结合Stieltjes型连分式在三角网格上构造了Lagrange-Stieltjes型有理插值函数，通过定义混合逆差商，建立递推算法，使所构造的有理插值函数满足插值条件，同时给出了这种插值算法的特征定理及其证明，并通过数值例子验证了这种插值算法的有效性。
문장종Lagrange삽치다항식출발，결합Stieltjes형련분식재삼각망격상구조료Lagrange-Stieltjes형유리삽치함수，통과정의혼합역차상，건립체추산법，사소구조적유리삽치함수만족삽치조건，동시급출료저충삽치산법적특정정리급기증명，병통과수치례자험증료저충삽치산법적유효성。
Lagrange-Stieltjes type rational interpolation over the triangular grid is constructed ,w hich is combined with the Stieltjes type continued fractions and based on the Lagrange interpolation polyno-mial .By defining the blending inverse difference ,the recursive algorithm is given ,so that the con-structed interpolating function satisfies the given interpolating conditions , and the characterization theorems are show n and proved .Finally ,a numerical example is presented to illustrate the effective-ness of the interpolating algorithm .