On embeddings of function classes defined by constructive characteristics
Boris V. Simonov ; Sergey Yu. Tikhonov
Banach Center Publications, Tome 72 (2006), p. 285-307 / Harvested from The Polish Digital Mathematics Library
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In this paper we study embedding theorems for function classes which are subclasses of Lp, 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.

Publié le : 2006-01-01
EUDML-ID : urn:eudml:doc:282115 
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     title = {On embeddings of function classes defined by constructive characteristics},
     journal = {Banach Center Publications},
     volume = {72},
     year = {2006},
     pages = {285-307},
     zbl = {1115.46029},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc72-0-19}
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Boris V. Simonov; Sergey Yu. Tikhonov. On embeddings of function classes defined by constructive characteristics. Banach Center Publications, Tome 72 (2006) pp. 285-307. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc72-0-19/