A discrete convolution involving Fourier sine and cosine series and its applications. Issue 3 (3rd March 2020)

• Record Type: Journal Article
• Authors: Thao, Nguyen Xuan; Tuan, Vu Kim; Dai, Nguyen Anh
• Is Part Of: Integral transforms and special functions. Volume 31:Issue 3(2020)
• Page Start: 243
• Page End: 252
• Publication Date: 2020-03-03
• Subjects: Fourier sine series -- discrete convolution -- discrete Young's inequality -- discrete Watson's theorem -- discrete Toeplitz plus Hankel equation; 44A35 -- 45E10 -- 42A38; Integral transforms -- Periodicals; Transcendental functions -- Periodicals; Transformations (Mathematics) -- Periodicals; Calculus, Integral -- Periodicals; 515
• DOI: 10.1080/10652469.2019.1687467
• Languages: English
• ISSNs: 1065-2469

Abstract

ABSTRACT: In this paper, we introduce a discrete convolution involving both the Fourier sine and cosine series. We study Young's type inequality and a discrete transform related to this convolution and solve in closed form a class of discrete Toeplitz plus Hankel equations.