On reconstruction of multiplicative transformations of functions in anisotropic spaces

DOI10.1134/S0037446614030100zbMath1316.46037OpenAlexW1997475913MaRDI QIDQ404719

E. D. Nursultanov, Nazerke Tleukhanova

Publication date: 4 September 2014

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446614030100

zbMATH Keywords

operator of reconstruction of functionsorthodiameterspace with dominating mixed derivative

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Approximations and expansions (41A99)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Orders of the orthoprojection widths of classes of periodic functions of one and of several variables
• Interpolation formula for multiplicative transformations of functions of several variables
• Concerning the multipliers of Fourier series in the trigonometric system
• Optimal recovery of functionals based on inaccurate data
• An interpolation formula for functions of several variables.
• Approximation of multidimensional functions with a given majorant of mixed moduli of continuity
• Interpolation theorems for anisotropic function spaces and their applications
• Some new functional spaces
• Interpolation of Linear Operators
• On a generalization of the Lizorkin theorem on Fourier multipliers
• APPROXIMATE RECOVERY OF PERIODIC FUNCTIONS OF SEVERAL VARIABLES
• Applications of Number Theory to Numerical Analysis
• On the coefficients of multiple Fourier series in $ L_p$-spaces
• Quadrature formulae for classes of functions of low smoothness
• RECOVERING A FUNCTION WITH ITS DERIVATIVES FROM FUNCTION VALUES AT A GIVEN NUMBER OF POINTS