3 papers
math.FA2026
Approximation of partial differential operators on Nikolskii-Besov functions classes of mixed smoothness in domains of a certain kind
S. N. Kudryavtsev
The article examines Nikolskii and Besov spaces with norms defined using "-averaged" mixed moduli of continuity for functions of appropriate orders, instead of mixed moduli of…
math.CA2025
Bernstein widths of nonisotropic Nikolskii-Besov classes
S. N. Kudryavtsev
The article examines nonisotropic Nikolskii and Besov spaces with norms defined using -averaged moduli of continuity of functions of appropriate orders along the coordinate di…
math.CA2018
Extending functions from isotropic Nikolskii-Besov spaces and their approximating with derivatives
S. N. Kudryavtsev
The article examines isotropic Nikolskii and Besov spaces with norms defined using -averaged modulus of continuity of functions of appropriate order, instead of modulus of con…