This article is cited in 1 paper

MATHEMATICS

Equivalent structural characteristic of a function from a Lebesgue space

G. N. Kazimirov, V. V. Burakovskiy

Francisk Skorina Gomel State University

Abstract: The equivalence of the iterated modulus of smoothness and the Petre $K$-functional is proved.

Keywords: iterated modulus of smoothness, $K$-functional.

UDC: 517.5

Received: 28.12.2024

DOI: 10.54341/20778708_2025_1_62_67