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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 장전수학회 Proceedings of the Jangjeon Mathematical Society Proceedings of the Jangjeon Mathematical Society Vol.22 No.2
- 발행연도
- 2019.1
- 수록면
- 293 - 306 (14page)
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초록· 키워드
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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.
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