  In this paper a class of asymmetrical operators of generalised translation is
introduced, for each of them generalised moduli of smoothness are introduced,
and Jackson's and its converse theorems are proved for those moduli.
  -----
  V eto\v{i} rabote rassmatrivaetsya klass sesimmetrichnykh operatorov
obobshchenogo sdviga, dlya kazhdogo iz nikh vvoditsya obobshchennye moduli
gladkosti i dlya nikh dokazybaetsya teorma Dzheksona i teorema, obratnaya
e\v{i}.
