Add to ORKGIn this exposition we discuss trigonometric interpolation at equally spaced points. This exposition is to a large degree self-contained. It can serve as an introduction to Fourier analysis. It is written with the idea of serving as a foundation for a course for advanced undergraduate or beginning graduate students. It requires some knowledge of linear algebra, undergraduate analysis, and familiarity with complex numbers
A short and simple proof is given that osculatory interpolation by trigonometric polynomials is alwa...
This article proposes a generalization of the Fourier interpolation formula, where a wider range of ...
A reader-friendly, systematic introduction to Fourier analysis Rich in both theory and application, ...
The concept of Fourier Series is widely used in several Engineering problems like Wave Equations, He...
AbstractWe consider the Hermite trigonometric interpolation problem of order 1 for equidistant nodes...
The Fourier transform (and all its versions, discrete/continuous/finite/infinite), covers deep and a...
After reading this chapter you know: what the three main trigonometric ratios are and how they can b...
This first volume, a three-part introduction to the subject, is intended for students with a beginni...
This thesis discusses several topics related to interpolation and how it is used in numerical analys...
The main goal of this text is to present the theoretical foundation of the field of Fourier analysis...
University of Minnesota Masters thesis. June 1920. Major: Mathematics. 1 computer file (PDF); 29 pag...
The main goal of this text is to present the theoretical foundation of the field of Fourier analysis...
The conclusions of various interpolation theorems are different in nature. Some of them only allow o...
AbstractThis work gives an account of the staging of a didactic proposal for the construction of the...
We study a subspace of bivariate trigonometric polynomials for interpolating functions on the sphere...
A short and simple proof is given that osculatory interpolation by trigonometric polynomials is alwa...
This article proposes a generalization of the Fourier interpolation formula, where a wider range of ...
A reader-friendly, systematic introduction to Fourier analysis Rich in both theory and application, ...
The concept of Fourier Series is widely used in several Engineering problems like Wave Equations, He...
AbstractWe consider the Hermite trigonometric interpolation problem of order 1 for equidistant nodes...
The Fourier transform (and all its versions, discrete/continuous/finite/infinite), covers deep and a...
After reading this chapter you know: what the three main trigonometric ratios are and how they can b...
This first volume, a three-part introduction to the subject, is intended for students with a beginni...
This thesis discusses several topics related to interpolation and how it is used in numerical analys...
The main goal of this text is to present the theoretical foundation of the field of Fourier analysis...
University of Minnesota Masters thesis. June 1920. Major: Mathematics. 1 computer file (PDF); 29 pag...
The main goal of this text is to present the theoretical foundation of the field of Fourier analysis...
The conclusions of various interpolation theorems are different in nature. Some of them only allow o...
AbstractThis work gives an account of the staging of a didactic proposal for the construction of the...
We study a subspace of bivariate trigonometric polynomials for interpolating functions on the sphere...
A short and simple proof is given that osculatory interpolation by trigonometric polynomials is alwa...
This article proposes a generalization of the Fourier interpolation formula, where a wider range of ...
A reader-friendly, systematic introduction to Fourier analysis Rich in both theory and application, ...