On embeddings of function classes defined by constructive characteristics

• Autorzy: Boris V. Simonov , Sergey Yu. Tikhonov
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 26A33: Fractional derivatives and integrals
• 46E35: Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems
• 41A50: Best approximation, Chebyshev systems

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2006
• Tom: 72
• Numer: 1
• Strony: 285-307

Daty

wydano

2006

Twórcy

autor

Boris V. Simonov

• Volgograd State Technical University, Volgograd, 400131, Russia

autor

Sergey Yu. Tikhonov

• Centre de Recerca Matematica (CRM), Bellaterra (Barcelona), E-08193, Spain

Identyfikatory

DOI

10.4064/bc72-0-19