Approximation by algebraic polynomials in an integral metric with Jacobi weight
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (1983), pp. 43-52
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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/}
}
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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/