Results 1 to 10 of about 314,072 (276)

Random Measurable Sets and Covariogram Realisability Problems [PDF]

, 2015
We provide a characterization of the realisable set covariograms, bringing a rigorous yet abstract solution to the $S\_2$ problem in materials science.
Galerne, Bruno, Lachieze-Rey, Raphael
core   +2 more sources

Multivariate and abstract approximation theory for Banach space valued functions

Demonstratio Mathematica, 2017
Here we study quantitatively the high degree of approximation of sequences of linear operators acting on Banach space valued Fréchet differentiable functions to the unit operator, as well as other basic approximations including those under convexity ...
Anastassiou George A.
doaj   +1 more source

(p,q)-Generalization of Szasz-Mirakyan Operators

, 2015
In this paper, we introduce new modifications of Szasz-Mirakyan operators based on (p,q)-integers. We first give a recurrence relation for the moments of new operators and present explicit formula for the moments and central moments up to order 4.
Acar, Tuncer
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Durrmeyer-Stancu type operators

Journal of Numerical Analysis and Approximation Theory, 2010
Considering two given real parameters \(\alpha, \beta\) satisfying the conditions \(0\leq\alpha\leq\beta\), D. D. Stancu [7] constructed and studied the linear positive operators \(P^{(\alpha,\beta)}_m:C([0,1])\to C([0,1])\), defined for any \(f\in C([0 ...
Ovidiu T. Pop, Dan Bărbosu
doaj   +2 more sources

Projective tensor products of approximation spaces associated with positive operators

Researches in Mathematics
In this paper the projective tensor products of approximation spaces associated with positive operators in Banach spaces are characterized. We show that the tensor products of approximation spaces can be considered as the interpolation spaces generated ...
M.I. Dmytryshyn, L.I. Dmytryshyn
doaj   +1 more source

Analysis of Approximation by Linear Operators on Variable Lρp(·) Spaces and Applications in Learning Theory

Abstract and Applied Analysis, 2014
This paper is concerned with approximation on variable Lρp(·) spaces associated with a general exponent function p and a general bounded Borel measure ρ on an open subset Ω of Rd. We mainly consider approximation by Bernstein type linear operators. Under
Bing-Zheng Li, Ding-Xuan Zhou
doaj   +1 more source

Advanced ordinary and fractional approximation by positive sublinear operators

Filomat, 2021
Here we consider the ordinary and fractional approximation of functions by sublinear positive operators with applications to generalized convolution type operators expressed by sublinear integrals such as of Choquet and Shilkret ones. The fractional approximation is under fractional differentiability of Caputo, Canavati and Iterated-Caputo ...
openaire   +2 more sources

The Kantorovich form of some extensions for the Szász-Mirakjan operators

Journal of Numerical Analysis and Approximation Theory, 2010
Recently, C. Mortici defined a class of linear and positive operators depending on a certain function \(\varphi\). These operators generalize the well known Szász-Mirakjan operators.
Dan Bărbosu, Ovidiu T. Pop, Dan Miclăuş   +2 more
doaj   +2 more sources

Korovkin-type convergence results for multivariate Shepard formulae

Journal of Numerical Analysis and Approximation Theory, 2009
We present a new convergence proof for classic multivariate Shepard formulae within the context of Korovkin-type convergence results for positive operators on spaces of continuous real valued functions.
Oliver Nowak
doaj   +2 more sources

The Newman--Shapiro problem

, 2018
We give a negative answer to the Newman--Shapiro problem on weighted approximation for entire functions formulated in 1966 and motivated by the theory of operators on the Fock space.
Belov, Yurii, Borichev, Alexander
core   +1 more source