Young inequalities for a Fourier cosine and sine polyconvolution and a generalized convolution. (English) Zbl 1529.44004
Summary: In this paper, we obtain some Young type inequalities for a polyconvolution and a generalized convolution involving the Fourier-cosine and Fourier-sine integral transforms.
MSC:
| 44A35 | Convolution as an integral transform |
| 42A38 | Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type |
| 26D10 | Inequalities involving derivatives and differential and integral operators |
Keywords:
Fourier transforms; polyconvolution; generalized convolution; Young’s inequality; \(L_p\) inequalitiesReferences:
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