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Matematicheskie Zametki, 2023, Volume 113, Issue 2, Pages 251–264
DOI: https://doi.org/10.4213/mzm13662 (Mi mzm13662) 		 
On Quantities of the Type of Modulus of Continuity and Analogs of $K$-Functionals in the Spaces $S^{(p,q)}(\sigma^{m-1})$

R. A. Lasuriya

National University of Science and Technology «MISIS», Moscow
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DOI: https://doi.org/10.4213/mzm13662
Abstract: The paper continues the research of the author begun in 2003–2021. Quantities of the type of modulus of continuity of functions defined on the sphere in the space $S^{(p,q)}(\sigma^{m-1})$ are studied. These quantities are generated by a family of operators of multiplier type. Their equivalence to analogs of $K$-functionals is established.
Keywords: Fourier–Laplace series, $\psi$-derivative, best approximation, modulus of continuity, $K$-functional.
Received: 14.07.2022
English version:
Mathematical Notes, 2023, Volume 113, Issue 2, Pages 255–266
DOI: https://doi.org/10.1134/S0001434623010285
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: R. A. Lasuriya, “On Quantities of the Type of Modulus of Continuity and Analogs of $K$-Functionals in the Spaces $S^{(p,q)}(\sigma^{m-1})$”, Mat. Zametki, 113:2 (2023), 251–264; Math. Notes, 113:2 (2023), 255–266
Citation in format AMSBIB
\Bibitem{Las23}
\by R.~A.~Lasuriya
\paper On Quantities of the Type of Modulus of Continuity and Analogs of $K$-Functionals in the Spaces $S^{(p,q)}(\sigma^{m-1})$
\jour Mat. Zametki
\yr 2023
\vol 113
\issue 2
\pages 251--264
\mathnet{http://mi.mathnet.ru/mzm13662}
\crossref{https://doi.org/10.4213/mzm13662}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4563366}
\transl
\jour Math. Notes
\yr 2023
\vol 113
\issue 2
\pages 255--266
\crossref{https://doi.org/10.1134/S0001434623010285}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85149910664}
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