Modular Convergence Theorems for Integral Operators in the Context of Filter Exhaustiveness and Applications

Author:

Boccuto Antonio,Dimitriou Xenofon

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference19 articles.

1. C. Bardaro and I. Mantellini, Linear integral operators with homogeneuos kernel: approximation properties in modular spaces. Application to Mellin-type convolution operators and to some classes of fractional operators, Applied Math. Rev., Vol. I, World Scientific Publ. (2000), 45–67.

2. Bardaro C., Mantellini I.: On approximation properties of Urysohn integral operators. Int. J. Pure Appl. Math. 3(2), 129–148 (2002)

3. Bardaro C., Mantellini I.: Uniform modular integrability and convergence properties for a class of Urysohn integral operators in function spaces. Math. Slovaca 56(4), 465–482 (2006)

4. Bardaro C., Mantellini I.: Pointwise convergence theorems for nonlinear Mellin convolution operators. Int. J. Pure Appl. Math. 27(4), 431–447 (2006)

5. Bardaro C., Mantellini I.: A note on the Voronovskaja theorem for nonlinear Mellin-F´ejer convolution operators. Appl. Math. Letters 24, 2064–2067 (2011)

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