A~method for estimating interpolating polynomials
Matematičeskie zametki, Tome 17 (1975) no. 4, pp. 555-561.

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The question of obtaining a lower bound for some interpolating polynomials is considered. Under specific conditions it is proved that these bounds are sharp. As a corollary of the general theorem, under specific restrictions on the points of interpolation, lower bounds for Goncharov interpolation polynomials are obtained which coincide with known upper bounds.
@article{MZM_1975_17_4_a6,
     author = {V. A. Oskolkov},
     title = {A~method for estimating interpolating polynomials},
     journal = {Matemati\v{c}eskie zametki},
     pages = {555--561},
     publisher = {mathdoc},
     volume = {17},
     number = {4},
     year = {1975},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1975_17_4_a6/}
}
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V. A. Oskolkov. A~method for estimating interpolating polynomials. Matematičeskie zametki, Tome 17 (1975) no. 4, pp. 555-561. http://geodesic.mathdoc.fr/item/MZM_1975_17_4_a6/