Geodesic
Equivalent structural characteristic of a function from a Lebesgue space
Problemy fiziki, matematiki i tehniki, no. 1 (2025), pp. 67-69.

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The equivalence of the iterated modulus of smoothness and the Petre $K$-functional is proved.
Keywords: iterated modulus of smoothness, $K$-functional. 
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     title = {Equivalent structural characteristic of a function from a {Lebesgue} space},
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G. N. Kazimirov; V. V. Burakovskiy. Equivalent structural characteristic of a function from a Lebesgue space. Problemy fiziki, matematiki i tehniki, no. 1 (2025), pp. 67-69. http://geodesic.mathdoc.fr/item/PFMT_2025_1_a10/