On embeddings of function classes defined by constructive characteristics

Boris V. Simonov, and Sergey Yu. Tikhonov. "On embeddings of function classes defined by constructive characteristics." Banach Center Publications 72.1 (2006): 285-307. <http://eudml.org/doc/282115>.

@article{BorisV2006,
abstract = {In this paper we study embedding theorems for function classes which are subclasses of $L_p$, 1 ≤ p ≤ ∞. To define these classes, we use the notion of best trigonometric approximation as well as that of a (λ,β)-derivative, which is the generalization of a fractional derivative. Estimates of best approximations of transformed Fourier series are obtained.},
author = {Boris V. Simonov, Sergey Yu. Tikhonov},
journal = {Banach Center Publications},
keywords = {embedding theorems; best approximation},
language = {eng},
number = {1},
pages = {285-307},
title = {On embeddings of function classes defined by constructive characteristics},
url = {http://eudml.org/doc/282115},
volume = {72},
year = {2006},
}

TY - JOUR
AU - Boris V. Simonov
AU - Sergey Yu. Tikhonov
TI - On embeddings of function classes defined by constructive characteristics
JO - Banach Center Publications
PY - 2006
VL - 72
IS - 1
SP - 285
EP - 307
AB - In this paper we study embedding theorems for function classes which are subclasses of $L_p$, 1 ≤ p ≤ ∞. To define these classes, we use the notion of best trigonometric approximation as well as that of a (λ,β)-derivative, which is the generalization of a fractional derivative. Estimates of best approximations of transformed Fourier series are obtained.
LA - eng
KW - embedding theorems; best approximation
UR - http://eudml.org/doc/282115
ER -