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In this paper, we estimate the error of best approximation of Lψ,p(I) –approximation 0 < p < 1,ψ(x) > 0, to the function f ∈ Lψ,p(I) ∩ Δ0 (JN) by spline 
in terms of 
usual modulus of smoothness for quasi-normed space and 
Ditzian-Totik modulus for Chebyshev knots.
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