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- Author or Editor: B. V. Simonov x
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The paper provides a detailed study of inequalities of complete moduli of smoothness of functions with transformed Fourier series by moduli of smoothness of initial functions. Upper and lower estimates of the norms and best approximations of the functions with transformed Fourier series by the best approximations of initial functions are also obtained.
В стАтьЕ АВтОРы РАссМ АтРИВАУт клАссы ФУНк цИИ, кОтОРыЕ ьВльУтсь ОБОБЩЕНИьМ И хОРОшО ИжВЕстНых клА ссОВ БЕсОВА, ВЕИль, НИк ОльскОгО. ДОкАжАНы тЕОРЕМы ВлОжЕНИь Дль ЁтИх клА ссОВ.