Geodesic
Approximations by V.\,A.~Steklov functions in Hausdorff metric
Matematičeskie zametki, Tome 5 (1969) no. 1, pp. 21-30.

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The paper studies approximations of functions defined on the entire number axis and bounded on any finite segment, the approximations being by V. A. Steklov functions in Hausdorff metric. We obtain the value of the exact upper bound of the approximation on classes of functions of given majorant of their moduli of nonmonotonicity. 
@article{MZM_1969_5_1_a2,
     author = {V. T. Martynyuk},
     title = {Approximations by {V.\,A.~Steklov} functions in {Hausdorff} metric},
     journal = {Matemati\v{c}eskie zametki},
     pages = {21--30},
     publisher = {mathdoc},
     volume = {5},
     number = {1},
     year = {1969},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1969_5_1_a2/}
}
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V. T. Martynyuk. Approximations by V.\,A.~Steklov functions in Hausdorff metric. Matematičeskie zametki, Tome 5 (1969) no. 1, pp. 21-30. http://geodesic.mathdoc.fr/item/MZM_1969_5_1_a2/