Results 71 to 80 of about 183 (122)
Multivariate Markov polynomial inequalities and Chebyshev nodes
Journal of Mathematical Analysis and Applications, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Rational interpolation with parameters based on Chebyshev nodes
FilomatA type of rational interpolation operator (RIO) with parameter ? is studied in this paper. We give the specific construction of RIO based on Chebyshev nodes of the fourth kind, and calculate the approximation order of the RIO to functions when 1 < ? < 2 and ? > 2 respectively. Furthermore, we analyze the relation between the parameter ?
Zhinan Yan, Yi Zhao
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A novel approach for solving weakly singular fractional integro-differential equations
Partial Differential Equations in Applied MathematicsIn this essay, we introduce a novel idea to tackle the challenges of fractional integro-differential equations (FIDEs) featuring weakly singular kernels (WSKs). New idea leverages B-splines for solving such equations, offering a robust numerical solution
Ali Jalal Ali +2 more
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Context-Aware Gossip-Based Protocol for Internet of Things Applications
Sensors, 2018 This paper proposes a gossip-based protocol that utilises a multi-factor weighting function (MFWF) that takes several parameters into account: residual energy, Chebyshev distances to neighbouring nodes and the sink node, node density, and message ...
Lina Altoaimy +5 more
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Chebyshev interpolation with approximate nodes of unrestricted multiplicity
Journal of Approximation Theory, 1989 Etude de l'interpolation polynomiale d'ordre superieur des fonctions regulieres sur un intervalle fini. Etablissement d'une estimation asymptotique liant les proprietes de differentiabilite de la fonction interpolee a une condition sur la distribution asymptotique des nœuds qui elimine le phenomene de ...
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Bounds for the number of nodes in Chebyshev type quadrature formulas
Journal of Approximation Theory, 1991 The authors determine an upper bound for the minimum number of nodes of Chebyshev type quadrature formulas on a finite interval needed in order to achieve a certain degree of precision, using a topological method. The corresponding problem on the \(d\)-dimensional sphere is studied also.
Rabau, Patrick, Bajnok, Bela
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A ZigBee network anonymous authentication scheme based on Chebyshev chaotic mapping and CRT
物联网学报, 2023 A ZigBee network anonymous authentication scheme based on Chebyshev chaotic mapping and Chinese remainder theorem (CRT) was proposed to solve the problems such as the incomplete reliability of ZigBee network trust center and the lack of identity ...
Wei LIAO +4 more
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AxiomsOur goal in this work is to solve the fractional Bratu equation, where the fractional derivative is of the Caputo type. As we know, the nonlinearity and derivative of the fractional type are two challenging subjects in solving various equations.
Haifa Bin Jebreen +1 more
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A note on polynomial interpolation at the Chebyshev extrema nodes
Journal of Approximation Theory, 1984 Some new properties of the Lebesgue function associated with interpolation at the Chebyshev extrema nodes are established. By estimating the degree of asymmetry of the Lebesgue function in the interval of interest, the estimate of Ehlich and Zeller for the norm of the corresponding interpolation operator is improved.
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On a Lebesgue constant of interpolation rational process at the Chebyshev – Markov nodes
Журнал Белорусского государственного университета: Математика, информатика, 2019 In the present paper estimate of a Lebesgue constant of the interpolation rational Lagrange process on the segment [−1 ,1] at the Chebyshev – Markov cosine fractions nodes is considered.
Yauheni A. Rouba +2 more
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