Article Sidebar
Date Published:
31/03/2024
Abstract Views: 74
Views PDF: 48
Views PDF: 48
Issue
Section
NATURAL SCIENCES
How to Cite
Trần, A. H., & Nguyễn, V. A. (2024). Generalized Convolution for Fourier cosine, Inverse Mellin Integral Transforms and an Application. Dong A University Journal of Science, 3(1). https://doi.org/10.59907/daujs.3.1.2024.253
Generalized Convolution for Fourier cosine, Inverse Mellin Integral Transforms and an Application
Main Article Content
Abstract
In this article, we construct and study generalized convolution with weight functions for Fourier cosine and inverse Mellin integral transforms. We use this new convolution to solve a system of integral equations.
Article Details
Keywords
integral transform, convolution, factorization equality, Fourier cosine, Mellin
References
Bateman, H., and Erdélyi, A. (1954). Tables of Integral Transforms Vol 1, MC Gray - Hill, New York - Toronto - London.
Churchill, R. V. (1941). Fourier Series and Boundary Value Problems, New York.
Kakichev, V. A., Nguyen Xuan Thao (1998). On the design method for the generalized integral convolution, Izv. Vuzov Mat. 1, 31-40 (in Russian).
Kakichev, V. A., Nguyen Xuan Thao (2000). On the generalized convolution for H - transforms, Izv.Vuzov Mat. 10, 79-84 (in Russian).
Nguyen Xuan Thao, Kakichev, V. A, and Vu Kim Tuan (1998). On the generalized convolution for Fourier cosine and sine transforms, East - West J. Mat. 1, 85-90 (in Russian).
Nguyen Xuan Thao, Nguyen Minh Khoa (2004). On the convolution with a weight function for the cosine – Fourier integral transform, Acta Math. Vietnam, 29, 149-162.
Nguyen Xuan Thao, Trinh Tuan (2003). On the generalized convolution for I - transform, Acta Math.Vietnam, 28, 159-174.
Nguyen Xuan Thao, Trinh Tuan (2005). Generalized convolutions of the integral Kontorovich- Lebedev, Fourier sine and cosine transforms, Annales Uni. Sci. Budapest., Sect. Comp 25, 37-51.
Nguyen Xuan Thao, Vu Kim Tuan and Nguyen Minh Khoa (2004). On the generalized convolution with a weight function for the Fourier cosine and sine transform, Frac. Cal. Appl. Ana. 7, 323-337.
Churchill, R. V. (1941). Fourier Series and Boundary Value Problems, New York.
Kakichev, V. A., Nguyen Xuan Thao (1998). On the design method for the generalized integral convolution, Izv. Vuzov Mat. 1, 31-40 (in Russian).
Kakichev, V. A., Nguyen Xuan Thao (2000). On the generalized convolution for H - transforms, Izv.Vuzov Mat. 10, 79-84 (in Russian).
Nguyen Xuan Thao, Kakichev, V. A, and Vu Kim Tuan (1998). On the generalized convolution for Fourier cosine and sine transforms, East - West J. Mat. 1, 85-90 (in Russian).
Nguyen Xuan Thao, Nguyen Minh Khoa (2004). On the convolution with a weight function for the cosine – Fourier integral transform, Acta Math. Vietnam, 29, 149-162.
Nguyen Xuan Thao, Trinh Tuan (2003). On the generalized convolution for I - transform, Acta Math.Vietnam, 28, 159-174.
Nguyen Xuan Thao, Trinh Tuan (2005). Generalized convolutions of the integral Kontorovich- Lebedev, Fourier sine and cosine transforms, Annales Uni. Sci. Budapest., Sect. Comp 25, 37-51.
Nguyen Xuan Thao, Vu Kim Tuan and Nguyen Minh Khoa (2004). On the generalized convolution with a weight function for the Fourier cosine and sine transform, Frac. Cal. Appl. Ana. 7, 323-337.