Geodesic
Best approximation of functions specified with an error at a finite number of points
Matematičeskie zametki, Tome 17 (1975) no. 3, pp. 359-368 Cet article a éte moissonné depuis la source Math-Net.Ru

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It is proved that for convex and centrally symmetric classes of functions a linear method is included among the best (in a definite sense) methods of approximation from values specified with an error at a finite number of points. For some of the simplest classes linear best methods are constructed and their error is estimated. 
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     author = {A. G. Marchuk and K. Yu. Osipenko},
     title = {Best approximation of functions specified with an~error at a~finite number of points},
     journal = {Matemati\v{c}eskie zametki},
     pages = {359--368},
     year = {1975},
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A. G. Marchuk; K. Yu. Osipenko. Best approximation of functions specified with an error at a finite number of points. Matematičeskie zametki, Tome 17 (1975) no. 3, pp. 359-368. http://geodesic.mathdoc.fr/item/MZM_1975_17_3_a1/