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Publication:3104357
zbMath1237.26011MaRDI QIDQ3104357
Publication date: 19 December 2011
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
rate of approximation\(\varphi\)-modulus of smoothnessmultidimensional concept of \(\varphi\)-variation
Rate of convergence, degree of approximation (41A25) Approximation by operators (in particular, by integral operators) (41A35) Absolutely continuous real functions of several variables, functions of bounded variation (26B30) Banach spaces of continuous, differentiable or analytic functions (46E15)
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A review on approximation results for integral operators in the space of functions of bounded variation ⋮ A new concept of multidimensional variation in the sense of Riesz and applications to integral operators ⋮ 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 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 ⋮ A concept of absolute continuity and its characterization in terms of convergence in variation ⋮ Variation and Approximation in Multidimensional Setting for Mellin Integral Operators ⋮ QUANTITATIVE APPROXIMATION PROPERTIES FOR ITERATES OF MOMENT OPERATOR
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