### Estimates of the best approximations of functions with a spectrum with a given majorant

#### Abstract

approximation of a function, approximation of inequalities of Bernstein and Nikolskiy, and of approximation theory [1-8].

#### Keywords

#### Full Text:

PDF (Russian)#### References

Temlyakov V. N. Approximation of functions with bounded mixed derivative // Trudy. Vol.178. M: Science, 1986. 112 p (in Russian)

Pustovoitov N.N. Approximation of multidimensional functions with a given majorant of mixed moduluos of continuity. // Matem.zametki. 1999. Vol.65, No 1. P. 107-117 (in Russian)

Sikhov M.B. Some problems in the theory of multi-dimensional approximations of different metrics // Kazakh National Al-Farabi Almaty: Kazakh University, 2010 (in Russian)

Sikhov M.B. On direct and inverse theorems of approximation theory with a given majorant // Analysis Mathematica. Vol. 30, No 2. 2004. - P. 137-146 (in Russian)

Sikhov M.B. Inequalities of Bernstein and Jackson Nikolskii and evaluation norms of derivatives of the Dirichlet // Math. Vol.80. 2006. P. 95-104 (in Russian)

Pustovoitov N.N. The ortho-diameters of multivariate periodic functions, majorant of mixed moduluos of continuity which contains as power and logarithmic factors // Anal.Math. 2008. Vol. 34. P.187-224 (in Russian)

Pustovoitov N.N. On the approximation of periodic functions by linear methods of the classes // Matem.sbornik. 2012. Vol. 203, No 1. P. 91-113 (in Russian)

Sikhov M.B. Approximation of functions of several variables with a given majorant space Besov // Mathematical journal. 2002. Vol.2, No 2. P. 95-100 (in Russian)