some problems of the convergence of Dirichlet’s generalized integrals in the space L^p

This study examines the convergence of Dirichlet’s generalized integrals, first introduced by R. Taberski [1, 2], in the space L^p (a,b), p≥1, for functions belonging to certain class E. For Dirichlet’s generalized integrals, an analogue of A. Zakharov’s [3] theorem is proved for L^p (a,b), p≥1, space.

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