Geodesic
Direct and inverse theorems in approximation theory for periodic functions in S.\,B.~Stechkins papers and the development of these theorems
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 16 (2010) no. 4, pp. 5-17

Voir la notice de l'article provenant de la source Math-Net.Ru

S. B. Stechkin made a considerable contribution to an important aspect of approximation theory for periodic functions concerned with direct and inverse theorems. We present the history of development of this research area and pose new problems.
Keywords: best approximation, module of continuity, Jackson–Stechkin inequality, inverse inequality. 
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V. I. Ivanov. Direct and inverse theorems in approximation theory for periodic functions in S.\,B.~Stechkins papers and the development of these theorems. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 16 (2010) no. 4, pp. 5-17. http://geodesic.mathdoc.fr/item/TIMM_2010_16_4_a0/