Convex Approximation in Terms of Fractional Weighted
Moduli of Smoothness
Weighted spaces
weighted moduli of smoothness of fractional order
convex body
weighted
Lipschitz condition
the order of approximation.
This paper deals with founding an estimation of best approximation of unbounded functions which satisfied weighted Lipschitz condition with respect to the convex polynomials by means of weighted moduli of smoothness of fractional order , ( , ) p f t . In addition we prove some properties of weighted moduli of smoothness of fractional order.