Approximation of functions of several variables by linear methods in the space \(S^p\). (English) Zbl 1340.42018
On the classes generated by the so-called \(psi\)-derivative, the authors justifiably study approximation properties of functions only for two natural cases of \(psi\). The functions are approximated by linear methods of triangular nature of their Fourier series. The rate of approximation is estimated by means of moduli of continuity type majorants.
Reviewer: Elijah Liflyand (Ramat-Gan)
MSC:
42B05 | Fourier series and coefficients in several variables |
26B30 | Absolutely continuous real functions of several variables, functions of bounded variation |
26B35 | Special properties of functions of several variables, Hölder conditions, etc. |
41A63 | Multidimensional problems |