Abstract

In this paper algebraic polynomials approximation in the space 𝐿𝑝,𝛼(𝑋) considered and it is concerned mainly with algebraic polynomial approximation of unbounded function in weighted space in terms convolution 𝑓 ∗ 𝑔, With 𝑓 and 𝑔 belongs in weighted space . In addition, We obtain estimate for fractional derivatives order of functions in 𝐿𝑝,𝛼(𝑋).

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