Embedding Theorems of Function Classes, I

نویسندگان

B. SIMONOV

S. TIKHONOV

چکیده

In this paper we study embedding theorems of 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.

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