Error Bounds of Conjugate of a Periodic Signal by Almost Generalized N\"orlund Means

TL;DR

This paper establishes error bounds for conjugate signals processed through almost generalized Nörlund means, extending existing results on linear operators for signals in Lip class.

Contribution

It introduces new error bounds for conjugate signals using almost generalized Nörlund means with bounded variation sequences, expanding prior linear operator results.

Findings

Derived explicit error bounds for conjugate signals

Extended known results to broader classes of signals and operators

Demonstrated improved bounds for Lip class signals

Abstract

In this paper, we determine the error bounds of conjugate signals between input periodic signals and processed output signals, whenever signals belong to $Lip\, (\alpha ,\, r)$ -class and as a processor we have taken almost generalized N\"orlund means using head bounded variation sequences and rest bounded variation sequences. The results obtained in this paper further extend several known results on linear operators.