The Rate of Convergence of Truncated Hypersingular Integrals Generated by the Generalized Poisson Semigroup
We introduce a family of Balakrishnan-Rubin type hypersingular integrals depending on a parameter $\varepsilon $ and generated by the Generalized Poisson semigroup. Then the rate of convergence of these families of truncated hypersingular integrals, which converge to $L_{p,\nu }$--function $\varphi $ as $\varepsilon $ tends to $0$, is obtained.
2013 ◽
Vol 406
(1)
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pp. 352-359
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1999 ◽
Vol 46
(11)
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pp. 1845-1863
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