Abstract
UDC 517.5
We prove some new estimates useful in applications for the approximation of certain classes of functions characterized by the generalized continuity modulus from the space
𝕃
2
(
α
,
β
)
by partial sums of the Jacobi – Dunkl series. For this purpose, we use the generalized Jacobi – Dunkl translation operator obtained by Vinogradov in the monograph [Theory of approximation of functions of real variable, Fizmatgiz, Moscow (1960) (in Russian)].
Publisher
Institute of Mathematics National Academy of Sciences of Ukraine
Subject
General Earth and Planetary Sciences,General Engineering,General Environmental Science
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