DISCRETE-TIME FOURIER GENERALIZED CONVOLUTION INEQUALITY AND TOEPLITZ PLUS HANKEL EQUATION

Nguyen Anh Dai; Nguyen Thi Huong Giang; Pham Van Tien

Nguyen Anh Dai Hung Yen University of Technology and Education
Nguyen Thi Huong Giang Hung Yen University of Technology and Education
Pham Van Tien Hung Yen University of Technology and Education

Keywords: Fourier cosine Series, Fourier sine Series, Discrete Convolution, Discrete Young’s Inequality, Discrete Toeplitz Plus Hankel Equation

Abstract

In this paper, we study the Young type inequality and the generalized convolution transform for the discrete-time Fourier sine generalized convolution. Solution in closed form for some clases of the Toeplitz plus Hankel equation related to the discrete-time Fourier sine generalized convolution are considered.

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