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Best trigonometric approximation of unbounded function in Lp,Ɵ (X)

Best trigonometric approximation of unbounded function in Lp,Ɵ (X)

In this paper ,we study the equivalence relationship between the modulus of continuity and k-functional . also the direct and inverse approximation theorems of unbounded functions by trigonometric polynomials in weighted space Lp,ϑ (X) are considered.