Notes on interpolation. VI

Author:

Egerváry E.,Turán P.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics,General Mathematics

Reference5 articles.

1. E. Egerváry andP. Turán, Notes on interpolation. V,Acta Math. Acad. Sci. Hung.,9 (1958), pp. 259–267.

2. L. Fejér, Über Interpolation,Gött. Nachr., (1916), pp. 1–26.

3. As Mr.J. Balázs remarked, one cannot replace 0 in the definition by $$\mathop {min}\limits_v (y_v - y_v^* )e^{ - x_{vn} } $$ as the exampley v =e x vn ,y v * =0 (v=1, 2,...,n) shows at once. Analogous remark holds for Definition II.

4. From our analysis it follows that for all realy v andy v * (i.e. not requiringy v ≧y v * ) the inequality holds forx≧0.

5. Again we obtained for all realy v andy v * (i. e. not requiringy v ≧y v * ) the inequality for all real valuesx.

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1. On hermite functions. II;Acta Mathematica Hungarica;1995-03

2. Weighted (0,1,3) interpolation on the zeros of Hermite polynomials;Acta Mathematica Hungarica;1993-03

3. Lagrange and Hermite interpolation processes on the positive real line;Journal of Approximation Theory;1987-05

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