Geodesic
On the coincidence of generalized smoothness modules on some class of functions
Problemy fiziki, matematiki i tehniki, no. 2 (2020), pp. 69-70

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The coincidence of generalized modules of smoothness of order $k$, determined with the help of the generalized shift operator, with different and identical shifts is proved.
Keywords: generalized shift operator, generalized modulus of smoothness. 
@article{PFMT_2020_2_a11,
     author = {G. N. Kazimirov},
     title = {On the coincidence of generalized smoothness modules on some class of functions},
     journal = {Problemy fiziki, matematiki i tehniki},
     pages = {69--70},
     publisher = {mathdoc},
     number = {2},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PFMT_2020_2_a11/}
}
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G. N. Kazimirov. On the coincidence of generalized smoothness modules on some class of functions. Problemy fiziki, matematiki i tehniki, no. 2 (2020), pp. 69-70. http://geodesic.mathdoc.fr/item/PFMT_2020_2_a11/