학술논문

Error estimation of signals by Euler-Nörlund operators
Document Type
Article
Author
Source
Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 22(2), pp.293-306 Apr, 2019
Subject
수학
Language
English
ISSN
2508-7916
1598-7264
Abstract
Mainly speaking, signals are treated as functions of one variable and images are represented by functions of two variables. Positive approximation processes play an important role in Approximation Theory and appear in a very natural way dealing with approximation of continuous functions, especially one, which requires further qualitative properties such as monotonicity, convexity and shape preservation and so on. Analysis of signals or time functions is of great importance, because it conveys information or attributes of some phenomenon. The engineers and scientists use properties of Fourier approximation for designing digital lters. In this paper, a new estimate for the error in approximation of a signal (function) by Euler-Norlund operator of its Fourier series has been determined. Some corollaries have also been deduced from our main theorem and hence some results become particular cases in this direction.