A new series representation derived for periodic functions that can be represented by the Fourier series

被引：0
|
作者：
Kulkarni P. [1 ]
机构：
[1] Goa University Quarters, Quarter No. A17/4, Taleigao Plateau, Panaji, Goa
来源：
SeMA Journal | 2015年 / 68卷 / 1期
关键词：
Fourier series; Periodic functions; Series representations;
D O I：
10.1007/s40324-014-0028-3
中图分类号：
学科分类号：
摘要：
The Fourier series are, as we know, widely used in a number of mathematical problems arising in various topics of Communication systems, Signal Processing, Image processing and many more. The main contribution through these series is to analyze and build periodic functions in the form of infinite or finite sums of sines and cosines. In this paper, a new series representation like the Fourier series has been derived for every periodic function which can be represented by the Fourier series, thereby increasing the extent of applications of Fourier analysis in the related fields. © 2014, Sociedad Española de Matemática Aplicada.
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页码：1 / 15
页数：14
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