G. N. Kazimirov, “On the coincidence of generalized smoothness modules on some class of functions”, PFMT, 2020, Issue 2(43),Pages <nobr>69

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MATHEMATICS

On the coincidence of generalized smoothness modules on some class of functions

G. N. Kazimirov

F. Scorina Gomel State University

Abstract: 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.

UDC: 517.52

Received: 29.04.2020