A review on approximation results for integral operators in the space of functions of bounded variation
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Publication:324645
DOI10.1155/2016/3843921zbMath1373.41011OpenAlexW2526994000WikidataQ59126980 ScholiaQ59126980MaRDI QIDQ324645
Laura Angeloni, Gianluca Vinti
Publication date: 17 October 2016
Published in: Journal of Function Spaces (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2016/3843921
Approximation by operators (in particular, by integral operators) (41A35) Approximation by other special function classes (41A30)
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Cites Work
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- 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
- Approximation by means of nonlinear integral operators in the space of functions with bounded \(\varphi \)-variation.
- Errata corrige to: ``Approximation by means of nonlinear integral operators in the space of functions with bounded \(\varphi \)-variation.
- A Fubini theorem in Riesz spaces for the Kurzweil-Henstock integral
- Orlicz spaces and modular spaces
- Distributionen, Funktionen beschränkter Variation und Lebesguescher Inhalt nichtparametrischer Flächen
- Convergence in variation and rate of approximation for nonlinear integral operators of convolution type
- Convergence and rate of approximation for linear integral operators in \(BV^{\varphi }\)-spaces in multidimensional setting
- Erratum to: Convergence in variation and rate of approximation for nonlinear integral operators of convolution type
- Rate of pointwise convergence of a new kind of gamma operators for functions of bounded variation
- Rate of convergence of new gamma type operators for functions with derivatives of bounded variation
- On the differentiability of functions of several variables
- Modular estimates of integral operators with homogeneous kernels in Orlicz type classes
- On approximation of functions in terms of \(\Phi\)-variation
- Bernstein-type operators diminish the \(\varphi\)-variation
- A direct approach to the Mellin transform
- On convergence of singular integrals in the generalized variation metric
- Approximation results with respect to multidimensional \(\varphi \)-variation for nonlinear integral operators
- Mappings of bounded \(\Phi\)-variation with arbitrary function \(\Phi\)
- Vitali-type theorems for filter convergence related to vector lattice-valued modulars and applications to stochastic processes
- Approximation in variation by homothetic operators in multidimensional setting.
- An inequality of the Hölder type, connected with Stieltjes integration
- Su una teoria generale della misura \((r-1)\)-dimensionale in uno spazio ad \(r\) dimensioni
- The Mellin–Parseval formula and its interconnections with the exponential sampling theorem of optical physics
- A concept of absolute continuity and its characterization in terms of convergence in variation
- Approximation Results for a General Class of Kantorovich Type Operators
- Nonlinear integral operators with homogeneous kernels: pointwise approximation theorems
- On generalized variations (I)
- Convergence in variation and a characterization of the absolute continuity
- On pointwise convergence of linear integral operators with homogeneous kernels
- Approximation with Respect to Goffman–Serrin Variation by Means of Non-Convolution Type Integral Operators
- Convergence in Variation and Rates of Approximation for Bernstein-Type Polynomials and Singular Convolution Integrals
- SEQUENCES OF BOUNDED Φ-VARIATION AND WEIGHTED UNCONDITIONAL CONVERGENCE OF SERIES
- Modular estimates for nonlinear integral operators and applications in fractional calculus
- Variation and Approximation in Multidimensional Setting for Mellin Integral Operators
- Bounded Variation and Around
- Convergence Estimates in Approximation Theory
- Exponential-sampling method for Laplace and other dilationally invariant transforms: II. Examples in photon correlation spectroscopy and Fraunhofer diffraction
