Abstract

Using Linear Operators to Approximate Signals of $Lip(\alpha, p)$, $(p\geq 1)$-Class

Vishnu Narayan Mishra, Kejal Khatri, Lakshmi Narayan Mishra

In this paper, we investigate trigonometric polynomials associated with $f \in Lip(\alpha, p)$, $(0\leq\alpha\leq 1,p\geq 1)$ to approximate $f$ in $L_p$ norm to the degree of $O(n^{-\alpha})(0<\alpha\leq1)$ for a more general class of lower triangular regular matrices with non-negative entries and row sums $t_n$.