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In this paper, reverse convolution inequalities for Lebedev–Skalskaya transforms (LS-transforms) are obtained. Further, convolutions associated to the Fourier and LS-transforms are introduced and relations between them are obtained. Moreover, their estimates in Lebesgue spaces are obtained and then, corresponding to it, reverse convolution inequalities are also studied. Some applications are also discussed.

Reverse convolution inequalities for Lebedev–Skalskaya transforms