# Wydawnictwa / Banach Center Publications / Wszystkie tomy

## On embeddings of function classes defined by constructive characteristics

### Tom 72 / 2006

Banach Center Publications 72 (2006), 285-307 MSC: Primary 46E35; Secondary 41A50, 26A33. DOI: 10.4064/bc72-0-19

#### Streszczenie

In this paper we study embedding theorems for function classes which are subclasses of $L_p$, $1\le p\le \infty$. To define these classes, we use the notion of best trigonometric approximation as well as that of a $(\lambda,\beta)$-derivative, which is the generalization of a fractional derivative. Estimates of best approximations of transformed Fourier series are obtained.

#### Autorzy

• Boris V. SimonovVolgograd State Technical University