Using linear operators to approximate signals of Lip(α, p), (p ≥ 1)-class

In this paper, we investigate trigonometric polynomials associated with ƒ ϵ Lip(α,p), (0 ≤ α ≤ 1,p ≥ 1) to approximate ƒ in Lp norm to the degree of O(n-α)(0 < α ≤ 1) for a more general class of lower triangular regular matrices with non-negative entries and row sums tn.