Výsledky vyhledávání - "B. V. Simonov"

Refinement of Relations between Mixed Moduli of Smoothness in the Metrics of $$L_p$$ and $$L_\infty$$

Publikováno v: Mathematical Notes. 110:347-362

Refinements of some relations between mixed moduli of smoothness of fractional orders in the metrics $$L_p$$ and $$L_\infty$$ are obtained.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::b6580d50f464edc41557256aadd19320
https://doi.org/10.1134/s0001434621090054

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Refinement of the Relations between Mixed Smoothness Moduli in $ L_{1} $ and $ L_{q} $ Metrics

Autor: B. V. Simonov, M. K. Potapov

Publikováno v: Siberian Mathematical Journal. 62:661-677

We refine some relations between the mixed smoothness moduli of fractional orders which are considered in the $ L_{1} $ and $ L_{q} $ metrics.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::f4adc2ae55b24ccda70c82f36bc699c0
https://doi.org/10.1134/s0037446621040108

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Trigonometric Series with Coefficients General Monotone with Respect to Subsequences

Autor: I. E. Simonova, B. V. Simonov

Publikováno v: Russian Mathematics. 65:8-26

In this paper, we consider the functions, which are represented as trigonometric series with Fourier coefficients general monotone with respect to subsequences. For these functions, estimates of the norms and modules of smoothness are given.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::78b44bcff6708755860bd4df56a07083
https://doi.org/10.3103/s1066369x21010023

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Properties of Sums of Double Trigonometric Series with Multiply Monotone Coefficients

Autor: B. V. Simonov, T. M. Vukolova

Publikováno v: Moscow University Mathematics Bulletin. 75:188-203

Sums of double sine and cosine series with multiply monotone coefficients are studied. Sufficient conditions for such sums to belong to Orlich’s weighted classes are obtained.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::2ae851980cfb8d6bef3bfc35ec9b1c04
https://doi.org/10.3103/s0027132220050083

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Transformation of Fourier Series by Means of General Monotone Sequences

Autor: Ainur Jumabayeva, B. V. Simonov

Publikováno v: Mathematical Notes. 107:740-758

Estimates of the norms and the best approximations of the generalized Liouville–Weyl derivative in the two-dimensional case are obtained.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::80da2a2674fbc86ac37e924786f52f73
https://doi.org/10.1134/s0001434620050041

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