A modular convergence theorem for certain nonlinear operators with homogeneus kernel
- Autores: Carlo Bardaro, Gianluca Vinti
- Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 48, Fasc. 4-6, 1997, págs. 393-408
- Idioma: inglés
- Enlaces
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Resumen
Here we give modular estimates for nonlinear integral operators of the form $(Tf)(s) = \int_GK(s, t, f(t))dt$ in Orlicz spaces. Namely we obtain an estimate for the error of approximation $T f - f$ and as a consequence we state the main result, i.e. $(T_wf - f)\stackrel{\mathcal{VW}}{\longrightarrow}0$ with $w\in\mathcal{W}$.
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