Criteria for a function to belong to the \(p\)-variational Besov space
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Publication:2037623
DOI10.1134/S000143462101003XzbMath1467.42038OpenAlexW3179294472MaRDI QIDQ2037623
S. A. Krayukhin, Sergey S. Volosivets
Publication date: 8 July 2021
Published in: Mathematical Notes (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s000143462101003x
Function spaces arising in harmonic analysis (42B35) Trigonometric approximation (42A10) Approximation by polynomials (41A10) Summability and absolute summability of Fourier and trigonometric series (42A24)
Cites Work
- Criteria for membership of the Besov spaces \(B^ s_{pq}\)
- Refined theorems of approximation theory in the space of \(p\)-absolutely continuous functions
- On the fundamental approximation theorems of D. Jackson, S.N. Bernstein and theorems of M. Zamansky and S.B. Stechkin
- Integral smoothness properties of periodic functions of bounded p- variation
- An inequality of the Hölder type, connected with Stieltjes integration
- Generalized monotonicity of sequences and functions of bounded p-variation
- Convergence of series of Fourier coefficients of \(p\)-absolutely continuous functions
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