Approximation by algebraic polynomials in an integral metric with Jacobi weight
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (1983), pp. 43-52
The paper contains a proof of Jackson's theorem and its converse on the relationship between the generalized moduli of continuity of functions and their best approximations by algebraic polynomials.
@article{VMUMM_1983_4_a7,
author = {M. K. Potapov},
title = {Approximation by algebraic polynomials in an integral metric with {Jacobi} weight},
journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
pages = {43--52},
year = {1983},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMUMM_1983_4_a7/}
}
M. K. Potapov. Approximation by algebraic polynomials in an integral metric with Jacobi weight. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (1983), pp. 43-52. http://geodesic.mathdoc.fr/item/VMUMM_1983_4_a7/