Results 71 to 80 of about 5,260,799 (222)
Advances in Difference Equations, 2021 The shifted Chebyshev polynomials of the fifth kind (SCPFK) and the collocation method are employed to achieve approximate solutions of a category of the functional equations, namely variable-order time-fractional weakly singular partial integro ...
Khadijeh Sadri +4 more
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, 2012 In this overview paper a direct approach to q-Chebyshev polynomials and their elementary properties is given. Special emphasis is placed on analogies with the classical case.
Johann Cigler +2 more
core
Kinematic model-independent reconstruction of Palatini $f(R)$ cosmology
, 2018 A kinematic treatment to trace out the form of $f(R)$ cosmology, within the Palatini formalism, is discussed by only postulating the universe homogeneity and isotropy.
Capozziello, Salvatore +2 more
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Chebyshev–Halley methods for analytic functions
Journal of Computational and Applied Mathematics, 2008 The Chebyshev-Halley iteration method \[ z^{n+1}=z^n - u_f(z^n)\left[1+\frac{L_f(z^n)}{2(1-\alpha L_f(z^n))}\right] \] is discussed for approximating zeros of an analytic function \(f(z)\). Here \(u_f(z)=\frac{f(z)}{f'(z)}\) and \(L_f(z)=\frac{f(z)f''(z)}{(f'(z))^2}\). \(\alpha\) is a real constant.
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International Journal of Mechanical System Dynamics, EarlyView.ABSTRACT Geometrically nonlinear static analysis of materially imperfect composite doubly curved shells is investigated via the generalised differential quadrature method. The effects of both shear and thickness deformation are considered through a thickness‐ and shear‐deformable third‐order theory formulated in curvilinear coordinates, while the ...
Behrouz Karami +3 more
wiley +1 more source
Bivariate Chebyshev Type Inequalities for Alpha Diamond Integrals via Time Scale Calculus
Journal of MathematicsIn this article, some generalizations of inequalities involving Chebyshev functional depending upon two parameters, for the class of twice differentiable functions on time scales, are studied.
Khaled Aldwoah +5 more
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Linear Chebyshev Approximation of Complex-Valued Functions [PDF]
Mathematics of Computation, 1978 This paper is concerned with Chebyshev approximation by linear functions to complex-valued data. The problem is nonlinear, and we present a convergent algorithm for its solution. We also pose a related linear problem which is simple to solve, and which produces approximations which are near-best in the Chebyshev sense within a factor of
Barrodale, I. +2 more
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Elastoplasticity Informed Kolmogorov–Arnold Networks Using Chebyshev Polynomials
International Journal for Numerical and Analytical Methods in Geomechanics, EarlyView.ABSTRACT Multilayer perceptron (MLP) networks are predominantly used to develop data‐driven constitutive models for granular materials. They offer a compelling alternative to traditional physics‐based constitutive models in predicting non‐linear responses of these materials, for example, elastoplasticity, under various loading conditions. To attain the
Farinaz Mostajeran, Salah A. Faroughi
wiley +1 more source
On Chebyshev Functional and Ostrowski-Grus Type Inequalities for Two Coordinates
International Journal of Analysis and Applications, 2016 In this paper, we construct Chebyshev functional and Gruss inequality on two coordinates. Also we establish Ostrowski-Gruss type inequality on two coordinates. Related mean value theorems of Lagrange and Cauchy type are also given.
Atiq Ur Rehman, Ghulam Farid
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Unsupervised Functional Link Artificial Neural Networks for Cluster Analysis
IEEE Access, 2020 In this paper, we propose a novel method of cluster analysis called unsupervised functional link artificial neural networks (UFLANNs), which inherit the best characteristics of functional link artificial neural networks and self-organizing feature maps ...
Bhabani Shankar Prasad Mishra +3 more
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