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ANNALES Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae
Sectio Computatorica

Volumes » Volume 54 (2023)

https://doi.org/10.71352/ac.54.321

The \(h\)-Fourier cosine-Laplace generalized convolution with a weight function

Nguyen Xuan Thao and Hoang Tung

Abstract. We construct \(h\)-Fourier cosine-Laplace discrete generalized convolution with a weight function on time scale \(\mathbb{T}_h^0\) and study its properties. We obtain some inequalities for this generalized convolution such as Young's type inequalities, Saitoh's type inequalities. In the application, we apply this generalized convolution to solve some linear equations of generalized convolution type.

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