Results 41 to 50 of about 1,058,862 (209)
On the convergence of Kantorovich operators in Morrey spaces
Positivity (Dordrecht), 2023 In this paper, we investigate Kantorovich operators on Morrey spaces. We first recall the main tool in the proof of the uniform boundedness of Kantorovich operators in Morrey spaces, namely a pointwise estimate of Kantorovich operators by the Hardy ...
Mu’afa Purwa Arsana +3 more
semanticscholar +1 more source
Convergence of Perturbed Sampling Kantorovich Operators in Modular Spaces
Results in Mathematics, 2023 In the present paper we study the perturbed sampling Kantorovich operators in the general context of the modular spaces. After proving a convergence result for continuous functions with compact support, by using both a modular inequality and a density ...
D. Costarelli +2 more
semanticscholar +1 more source
The Schr\"odinger Equation in the Mean-Field and Semiclassical Regime
, 2016 In this paper, we establish (1) the classical limit of the Hartree equation leading to the Vlasov equation, (2) the classical limit of the $N$-body linear Schr\"{o}dinger equation uniformly in N leading to the N-body Liouville equation of classical ...
Golse, François, Paul, Thierry
core +3 more sources
Approximation results in Sobolev and fractional Sobolev spaces by sampling Kantorovich operators
Fractional Calculus and Applied Analysis, 2023 The present paper deals with the study of the approximation properties of the well-known sampling Kantorovich (SK) operators in “Sobolev-like settings”. More precisely, a convergence theorem in case of functions belonging to the usual Sobolev spaces for ...
M. Cantarini, D. Costarelli, G. Vinti
semanticscholar +1 more source
Estimations for the convex modular of the aliasing error of nonlinear sampling Kantorovich operators
Nonlinear Analysis: Modelling and ControlIn this paper, we establish quantitative estimates for the nonlinear sampling Kantorovich operators in the general setting of modular spaces Lρ. To achieve this, we consider a notion of modulus of smoothness based on the convex modular functional ρ ...
D. Costarelli +2 more
semanticscholar +1 more source
Kantorovich variant of Stancu operators
Filomat, 2022 Stancu type operators play a crucial role in convergence estimates. The present article concerns the convergence estimates for certain Stancu type Kantorovich operators. We first establish some direct formulas giving the local approximation theorem, Voronovskaja type asymptotic formula, bound for the second central moment with some ...
Vijay Gupta, A Anjali
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On Chlodowsky Variant of (p,q) Kantorovich-Stancu-Schurer Operators
International Journal of Analysis and Applications, 2016 In the present paper, we introduce the Chlodowsky variant of (p,q) Kantorovich-Stancu-Schurer operators on the unbounded domain which is a generalization of (p,q) Bernstein-Stancu-Kantorovich operators.
Vishnu Narayan Mishra, Shikha Pandey
doaj +2 more sources
A Kantorovich Type of Szasz Operators Including Brenke-Type Polynomials
Abstract and Applied Analysis, 2012 We give a Kantorovich variant of a generalization of Szasz operators defined by means of the Brenke-type polynomials and obtain convergence properties of these operators by using Korovkin's theorem.
Fatma Taşdelen +2 more
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Approximation of Discontinuous Functions by Positive Linear Operators. A Probabilistic Approach
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We obtain approximation results for general positive linear operators satisfying mild conditions, when acting on discontinuous functions and absolutely continuous functions having discontinuous derivatives. The upper bounds, given in terms of a local first modulus of continuity, are best possible, in the sense that we can construct particular ...
J.A. Adell +2 more
wiley +1 more source
Approximation properties of q-Kantorovich-Stancu operator [PDF]
Journal of Inequalities and Applications, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kang, Shin Min +3 more
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