Geodesic
One-Sided Approximation of Truncated Powers by Algebraic Polynomials in the Mean
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Studies on function theory and differential equations, Tome 248 (2005), pp. 185-193

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Estimates for one-sided approximation of truncated powers by algebraic polynomials in the space $L_1$ are obtained. 
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     author = {V. P. Motornyi and O. V. Motornaya},
     title = {One-Sided {Approximation} of {Truncated} {Powers} by {Algebraic} {Polynomials} in the {Mean}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
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     year = {2005},
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V. P. Motornyi; O. V. Motornaya. One-Sided Approximation of Truncated Powers by Algebraic Polynomials in the Mean. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Studies on function theory and differential equations, Tome 248 (2005), pp. 185-193. http://geodesic.mathdoc.fr/item/TM_2005_248_a17/