Derivatives of trigonometric polynomials and converse theorem of the constructive theory of functions in Morrey spaces

Let T denote the interval [−0, 2π] . In this work the relationship between the modulus of smoothness of derivatives of a function and the best approximation in Morrey space Lp,λ (T), 0 < λ ≤ 2, 1 < p < ∞ , have been investigated. In addition, the theorems... More

Let T denote the interval [−0, 2π] . In this work the relationship between the modulus of smoothness of derivatives of a function and the best approximation in Morrey space Lp,λ (T), 0 < λ ≤ 2, 1 < p < ∞ , have been investigated. In addition, the theorems related to the derivatives of trigonometric polynomials in Morrey space Lp,λ (T), 0 < λ ≤ 2, 1 < p < ∞, are proved. Less