Geodesic
Approximation of infinitely differentiable functions in unbounded convex domains by polynomials in weighted spaces
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Differential equations. Mathematical analysis, Tome 143 (2017), pp. 40-47 Cet article a éte moissonné depuis la source Math-Net.Ru

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We examine the problem of polynomial approximation in the space of infinitely differentiable functions in an unbounded convex domain in ${\mathbb R}^n$ that have a prescribed growth rate near the boundary of the domain and at infinity.
Keywords: approximation by polynomials, infinitely differentiable function. 
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     author = {I. Kh. Musin},
     title = {Approximation of infinitely differentiable functions in unbounded convex domains by polynomials in weighted spaces},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {40--47},
     year = {2017},
     volume = {143},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2017_143_a2/}
}
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I. Kh. Musin. Approximation of infinitely differentiable functions in unbounded convex domains by polynomials in weighted spaces. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Differential equations. Mathematical analysis, Tome 143 (2017), pp. 40-47. http://geodesic.mathdoc.fr/item/INTO_2017_143_a2/