Geodesic
Diameters of certain classes of analytic functions
Matematičeskie zametki, Tome 22 (1977) no. 2, pp. 285-295

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Exact values have been found, for the diameters in the sense of Kolmogorov of certain classes of functions with a Hardy metric, analytic in the unit circle, whose boundary values admit of a representation by a convolution or the averaged modulus of smoothness of their boundary values is majorized by a given function. In passing, certain extremal properties of trigonometric polynomials are established. 
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     author = {L. V. Taikov},
     title = {Diameters of certain classes of analytic functions},
     journal = {Matemati\v{c}eskie zametki},
     pages = {285--295},
     publisher = {mathdoc},
     volume = {22},
     number = {2},
     year = {1977},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1977_22_2_a12/}
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L. V. Taikov. Diameters of certain classes of analytic functions. Matematičeskie zametki, Tome 22 (1977) no. 2, pp. 285-295. http://geodesic.mathdoc.fr/item/MZM_1977_22_2_a12/