Uniform Approximability of Functions by Polynomials of Special Classes on Compact Sets in $\mathbb R^2$
Matematičeskie zametki, Tome 71 (2002) no. 1, pp. 75-87

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We derive several sufficient conditions for the uniform approximability of functions by polynomial solutions of homogeneous elliptic equations of second order with constant coefficients on Carathéodory compact sets in $\mathbb R^2$.
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     author = {A. B. Zaitsev},
     title = {Uniform {Approximability} of {Functions} by {Polynomials} of {Special} {Classes} on {Compact} {Sets} in $\mathbb R^2$},
     journal = {Matemati\v{c}eskie zametki},
     pages = {75--87},
     publisher = {mathdoc},
     volume = {71},
     number = {1},
     year = {2002},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2002_71_1_a6/}
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A. B. Zaitsev. Uniform Approximability of Functions by Polynomials of Special Classes on Compact Sets in $\mathbb R^2$. Matematičeskie zametki, Tome 71 (2002) no. 1, pp. 75-87. http://geodesic.mathdoc.fr/item/MZM_2002_71_1_a6/