@article{Diaconu_2006, title={Remarks on interpolation in certain linear spaces (III)}, volume={35}, url={https://ictp.acad.ro/jnaat/journal/article/view/2006-vol35-no1-art6}, DOI={10.33993/jnaat351-1009}, abstractNote={<pre>In this paper we study a way of extending the model of interpolating</pre><pre> the real functions, with simple nodes, to the case of the functions</pre><pre> defined between linear spaces, especially between linear normed</pre><pre> spaces.</pre><pre> </pre><pre>In order to keep as many characteristics as possible from the case</pre><pre> of the interpolation of real functions, in this paper we present a </pre><pre>model of construction of the abstract interpolation polynomials, </pre><pre>based on the properties of multilinear mappings. In this case we </pre><pre>will define the divided differences and establish interpolation </pre><pre>formulas with the rest expressed as a divided difference. We give </pre><pre>the example of the type of interpolation polynomial built for </pre><pre>non-linear mappings between spaces of functions defined on a certain interval.</pre>}, number={1}, journal={Rev. Anal. Numér. Théor. Approx.}, author={Diaconu, Adrian}, year={2006}, month={Feb.}, pages={41–51} }