Geodesic
A family of operators with discontinuous ranges and approximation and restoration of continuous functions
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 53 (2013) no. 10, pp. 1603-1609

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A class of operators whose construction is similar to but simpler than the construction of Landau operators is the basis for the design of a modified family of operators with discontinuous ranges. This family has good approximation properties with respect to approximation and restoration problems for continuous functions. 
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     title = {A family of operators with discontinuous ranges and approximation and restoration of continuous functions},
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A. P. Khromov; G. V. Khromova. A family of operators with discontinuous ranges and approximation and restoration of continuous functions. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 53 (2013) no. 10, pp. 1603-1609. http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_10_a0/