scientific article; zbMATH DE number 5254848
From MaRDI portal
Publication:5451874
zbMath1156.41307MaRDI QIDQ5451874
Rudolf L. Stens, Carlo Bardaro, Gianluca Vinti, Paul L. Butzer
Publication date: 27 March 2008
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Orlicz spacesirregular samplinggeneralized sampling operatorsmodular convergenceKantorovich-type operators\(L\log L\)space
Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Linear operator approximation theory (47A58) Rate of convergence, degree of approximation (41A25) Sampling theory in information and communication theory (94A20)
Related Items
Multidimensional Kantorovich modifications of exponential sampling series ⋮ Approximation properties of periodic multivariate quasi-interpolation operators ⋮ Approximation theorems for a family of multivariate neural network operators in Orlicz-type spaces ⋮ Approximation by generalized Kantorovich sampling type series ⋮ Approximation by max-product neural network operators of Kantorovich type ⋮ A characterization of the convergence in variation for the generalized sampling series ⋮ Approximation by sampling Kantorovich series in weighted spaces of functions ⋮ A general approximation approach for the simultaneous treatment of integral and discrete operators ⋮ Max-product neural network and quasi-interpolation operators activated by sigmoidal functions ⋮ Improvement of retinal OCT angiograms by sampling Kantorovich algorithm in the assessment of retinal and choroidal perfusion ⋮ Approximation properties of the sampling Kantorovich operators: regularization, saturation, inverse results and Favard classes in \(L^p\)-spaces ⋮ Convergence of generalized sampling series in weighted spaces ⋮ Approximation by Durrmeyer Type Exponential Sampling Operators ⋮ Some applications of modular convergence in vector lattice setting ⋮ Wavelet approximation in Orlicz spaces ⋮ Asymptotic formulae for linear combinations of generalized sampling operators ⋮ Approximation by multivariate Kantorovich-Kotelnikov operators ⋮ Neural network operators: constructive interpolation of multivariate functions ⋮ Approximation of discontinuous signals by sampling Kantorovich series ⋮ On linear combinations of multivariate generalized sampling type series ⋮ Approximation by Sampling Durrmeyer Operators in Weighted Space of Functions ⋮ A characterization of the absolute continuity in terms of convergence in variation for the sampling Kantorovich operators ⋮ On pointwise approximation properties of multivariate semi-discrete sampling type operators ⋮ On the convergence properties of sampling Durrmeyer‐type operators in Orlicz spaces ⋮ Multidimensional sampling-Kantorovich operators in \textit{BV}-spaces ⋮ Approximation by generalized bivariate Kantorovich sampling type series ⋮ On approximation properties of generalized Kantorovich-type sampling operators ⋮ A characterization of the rate of the simultaneous approximation by generalized sampling operators and their Kantorovich modification ⋮ Convergence of perturbed sampling Kantorovich operators in modular spaces ⋮ Approximation by multivariate max-product Kantorovich-type operators and learning rates of least-squares regularized regression ⋮ Detection of thermal bridges from thermographic images by means of image processing approximation algorithms ⋮ Convergence of semi-discrete exponential sampling operators in Mellin-Lebesgue spaces ⋮ Quantitative estimates for sampling type operators with respect to the Jordan variation ⋮ Linear prediction and simultaneous approximation by \(m\)-th order Kantorovich type sampling series ⋮ Convergence theorems in Orlicz and Bögel continuous functions spaces by means of Kantorovich discrete type sampling operators ⋮ Alzheimer biomarkers esteem by sampling Kantorovich algorithm ⋮ Sparse grid approximation in weighted Wiener spaces ⋮ On bivariate Kantorovich exponential sampling series ⋮ A quantitative asymptotic formula for a general class of discrete operators ⋮ Approximation by truncated max-product sampling Kantorovich operators in \(L^p\) spaces ⋮ A Quantitative Estimate for the Sampling Kantorovich Series in Terms of the Modulus of Continuity in Orlicz Spaces ⋮ Approximation properties of mixed sampling-Kantorovich operators ⋮ Asymptotic formulae for multivariate Kantorovich type generalized sampling series ⋮ Variation diminishing-type properties for multivariate sampling Kantorovich operators ⋮ Rate of approximation for multivariate sampling Kantorovich operators on some functions spaces ⋮ A new kind of variant of the Kantorovich type modification operators introduced by D. D. Stancu ⋮ The Kantorovich variant of an operator defined by D. D. Stancu ⋮ Inverse results of approximation and the saturation order for the sampling Kantorovich series ⋮ On a Durrmeyer-type modification of the exponential sampling series ⋮ Vitali-type theorems for filter convergence related to vector lattice-valued modulars and applications to stochastic processes ⋮ Convergence of a family of neural network operators of the Kantorovich type ⋮ Rates of approximation for general sampling-type operators in the setting of filter convergence ⋮ Improved approximation and error estimations by King type \((p, q)\)-Szász-Mirakjan Kantorovich operators ⋮ Saturation by the Fourier transform method for the sampling Kantorovich series based on bandlimited kernels ⋮ Quantitative estimates for nonlinear sampling Kantorovich operators ⋮ Inverse approximation and GBS of bivariate Kantorovich type sampling series ⋮ A comparison between the sampling Kantorovich algorithm for digital image processing with some interpolation and quasi-interpolation methods ⋮ Convergence of sampling Kantorovich operators in modular spaces with applications ⋮ Fractional type multivariate sampling operators ⋮ An Inverse Result of Approximation by Sampling Kantorovich Series ⋮ Extension of saturation theorems for the sampling Kantorovich operators ⋮ Quantitative Voronovskaja formulae for generalized Durrmeyer sampling type series ⋮ Generalized Kantorovich sampling type series on hypergroups ⋮ Approximation of differentiable and not differentiable signals by the first derivative of sampling Kantorovich operators ⋮ Approximation by quasi-interpolation operators and Smolyak's algorithm ⋮ Direct and inverse results for Kantorovich type exponential sampling series ⋮ A retrospective on research visits of Paul Butzer's Aachen research group to North America and Western Europe ⋮ Approximation by means of nonlinear Kantorovich sampling type operators in Orlicz spaces ⋮ Boundedness properties of semi-discrete sampling operators in Mellin-Lebesgue spaces ⋮ Multivariate sampling Kantorovich operators: quantitative estimates in Orlicz spaces ⋮ A general method to study the convergence of nonlinear operators in Orlicz spaces ⋮ Approximation by max-product sampling Kantorovich operators with generalized kernels ⋮ On Approximation by Kantorovich Exponential Sampling Operators ⋮ Abstract integration with respect to measures and applications to modular convergence in vector lattice setting ⋮ Max-product type multivariate sampling operators and applications to image processing ⋮ Quantitative estimates for Durrmeyer-sampling series in Orlicz spaces ⋮ Localization results for the non-truncated max-product sampling operators based on Fejér and sinc-type kernels
This page was built for publication: