In this paper we study a general class of Mellin-type integral operators that preserve the functions x^a and x^2a, with a>0. Weighted convergence with respect to certain weights is studied. Moreover quantitative estimate, using a suitable modulus of continuity, and an asymptotic formula are obtained. Finally the theory is applied to various specific examples.
On Mellin-type integral operators preserving x^a and x^2a, a >0
Ilaria Mantellini
2026
Abstract
In this paper we study a general class of Mellin-type integral operators that preserve the functions x^a and x^2a, with a>0. Weighted convergence with respect to certain weights is studied. Moreover quantitative estimate, using a suitable modulus of continuity, and an asymptotic formula are obtained. Finally the theory is applied to various specific examples.File in questo prodotto:
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