Approximation by means of nonlinear integral operators in the space of functions with bounded \(\varphi \)-variation.
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Publication:601625
zbMath1212.26016MaRDI QIDQ601625
Laura Angeloni, Gianluca Vinti
Publication date: 28 October 2010
Published in: Differential and Integral Equations (Search for Journal in Brave)
Integral operators (47G10) Rate of convergence, degree of approximation (41A25) Approximation by operators (in particular, by integral operators) (41A35) Functions of bounded variation, generalizations (26A45) Absolutely continuous real functions in one variable (26A46)
Related Items (9)
A review on approximation results for integral operators in the space of functions of bounded variation ⋮ Multivariate approximation in φ\varphi-variation for nonlinear integral operators via summability methods ⋮ Approximation results with respect to multidimensional \(\varphi \)-variation for nonlinear integral operators ⋮ Convergence in phi-variation and rate of approximation for nonlinear integral operators using summability process ⋮ Convergence and rate of approximation in \(BV^{\phi}(\mathbb R^N_+)\) for a class of Mellin integral operators ⋮ A characterization of absolute continuity by means of Mellin integral operators ⋮ Some convergence results for nonlinear singular integral operators ⋮ Convergence and rate of approximation for linear integral operators in \(BV^{\varphi }\)-spaces in multidimensional setting ⋮ Variation and Approximation in Multidimensional Setting for Mellin Integral Operators
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