Geodesic
$K$-Functionals and Exact Values of n-Widths of Certain Classes in the Spaces $C(2\pi )$ and $L_1(2\pi )$
Matematičeskie zametki, Tome 71 (2002) no. 4, pp. 522-531

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For classes of $2\pi$-periodic functions whose $K$-functionals are majorized by functions satisfying certain constraints, exact values of Kolmogorov, Bernstein, and trigonometric $n$-widths in the spaces $C(2\pi )$ and $L_1(2\pi )$ are obtained. Examples of majorants that satisfy the requirements stated in this paper are given. 
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     author = {S. B. Vakarchuk},
     title = {$K${-Functionals} and {Exact} {Values} of {n-Widths} of {Certain} {Classes} in the {Spaces} $C(2\pi )$ and $L_1(2\pi )$},
     journal = {Matemati\v{c}eskie zametki},
     pages = {522--531},
     publisher = {mathdoc},
     volume = {71},
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     url = {http://geodesic.mathdoc.fr/item/MZM_2002_71_4_a3/}
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S. B. Vakarchuk. $K$-Functionals and Exact Values of n-Widths of Certain Classes in the Spaces $C(2\pi )$ and $L_1(2\pi )$. Matematičeskie zametki, Tome 71 (2002) no. 4, pp. 522-531. http://geodesic.mathdoc.fr/item/MZM_2002_71_4_a3/