Results 51 to 60 of about 63,646 (142)
Preserving properties of some Szasz-Mirakyan type operators
Journal of Numerical Analysis and Approximation TheoryFor a family of Szasz-Mirakyan type operators we prove that they preserve convex-type functions and that a monotonicity property verified by Cheney and Sharma in the case Szasz-Mirakyan operators holds for the variation study here.
Jorge Bustamante
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IMPLEMENTATION OF 3D VOF TRACKING ALGORITHM BASED ON BINARY SPACE-PARTITIONING
Acta Polytechnica, 2017 The paper focuses on modelling free surface flow. The interface is modelled using the Volume-Of-Fluid method, where the advection of volume fractions is treated by a purely geometrical method.
Filip Kolařík, Bořek Patzák
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On Szász-Mirakyan type operators preserving polynomials
Journal of Numerical Analysis and Approximation Theory, 2017 In this paper, a modification of Szász-Mirakyan operators is studied [1] which generalizes the Szász-Mirakyan operators with the property that the linear combination \(e_2 + \alpha e_1\) of the Korovkin's test functions \(e_1\) and \(e_2\) are ...
Ovgu Gurel Yilmaz +2 more
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A novel parameterized multiquadric quasi-interpolation operator with its optimal parameters
Results in Applied MathematicsThe shape parameter c plays a crucial role in determining the accuracy and effectiveness of multiquadric quasi-interpolation algorithm. However, a few works discuss the shape parameter c in multiquadric quasi-interpolation operator.
Hualin Xiao, Dan Qu
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Shape preserving properties of the Bernstein polynomials with integer coefficients
Annual of Sofia University St. Kliment Ohridski. Faculty of Mathematics and Informatics, 2019 The Bernstein polynomials with integer coefficients do not generally preserve monotonicity and convexity. We establish sufficient conditions under which they do. We also observe that they are asymptotically shape preserving.
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Approximation and Shape Preserving Properties of Neural Network Operators
Results in MathematicsAbstract In this paper, approximation and shape preserving properties for the so-called neural network (NN) operators have been faced. First, the case of the general NN operators based on sigmoidal function has been considered; moreover, theorems relating to uniform convergence, Korovkin-type results, and endpoint behavior have been ...
Ana-Maria Acu +3 more
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Proper hereditary shape equivalences preserve property C
Topology and its Applications, 1985 A space X has property C provided each sequence \(\{\) \({\mathcal U}_ n: n\in N\}\) of open covers of X admits an open cover \({\mathcal V}=\cup \{{\mathcal V}_ n: n\in N\}\) of X such that for each n, \({\mathcal V}_ n\) refines \({\mathcal U}_ n\) and is a collection of pairwise disjoint sets.
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Shape-Preserving and Convergence Properties for the q-Szász-Mirakjan Operators for Fixed q∈(0,1)
Abstract and Applied Analysis, 2014 We introduce a q-generalization of Szász-Mirakjan operators Sn,q and discuss their properties for fixed q∈(0,1). We show that the q-Szász-Mirakjan operators Sn,q have good shape-preserving properties.
Heping Wang, Fagui Pu, Kai Wang
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Abstract and Applied Analysis, 2014 Summary: We introduce a \(q\)-generalization of Szász-Mirakjan operators \(S_{n, q}\) and discuss their properties for fixed \(q \in(0,1)\). We show that the \(q\)-Szász-Mirakjan operators \(S_{n, q}\) have good shape-preserving properties. For example, \(S_{n, q}\) are variation-diminishing, and preserve monotonicity, convexity, and concave modulus of
Wang, Heping, Pu, Fagui, Wang, Kai
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On Soardi's Bernstein operators of second kind
Journal of Numerical Analysis and Approximation Theory, 2000 We solve a problem, raised by Paolo Soardi, concerning the shape preserving properties of the Bernstein operators of second kind. We establish also a Voronovskaja-type formula for these operators.
Ioan Raşa
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