Results 31 to 40 of about 34,271 (206)
Characterization of the generalized Chebyshev-type polynomials of first kind
, 2015 Orthogonal polynomials have very useful properties in the solution of mathematical problems, so recent years have seen a great deal in the field of approximation theory using orthogonal polynomials.
AlQudah, Mohammad A.
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Distribution of values of Hardy sums over Chebyshev polynomials
AIMS MathematicsThis paper mainly studied the distribution of values of Hardy sums involving Chebyshev polynomials. By using the method of analysis and the arithmetic properties of Hardy sums and Chebyshev polynomials of the first kind, we obtained a sharp asymptotic ...
Jiankang Wang, Zhefeng Xu, Minmin Jia
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Some identities involving the bi-periodic Fibonacci and Lucas polynomials
AIMS Mathematics, 2023 In this paper, by using generating functions for the Chebyshev polynomials, we have obtained the convolution formulas involving the bi-periodic Fibonacci and Lucas polynomials.
Tingting Du, Zhengang Wu
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On Polynomial Multiplication in Chebyshev Basis
, 2012 In a recent paper Lima, Panario and Wang have provided a new method to multiply polynomials in Chebyshev basis which aims at reducing the total number of multiplication when polynomials have small degree.
Giorgi, Pascal
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An approximate solution of the Blasius problem using spectral method
Partial Differential Equations in Applied MathematicsThis paper aims at finding the numerical approximation of a classical Blasius flat plate problem using spectral collocation method. This technique is based on Chebyshev pseudospectral approach that involves the solution is approximated using Chebyshev ...
Zunera Shoukat +6 more
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Some results on complex $(p,q)- $extnsion Chebyshev wavelets [PDF]
Journal of Mahani Mathematical ResearchIn this paper, we propose a generalized formula for well-known functions such as $(p,q)$-Chebyshev polynomials. Our consideration is focused on determining properties of generalized Chebyshev polynomials of the first and second kind, sparking interest ...
H. Mazaheri, A.W. Safi, S.M. Jesmani
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Properties of the second-kind Chebyshev polynomials of complex variable
Researches in Mathematics, 2020 We construct a system of functions biorthogonal with Chebyshev polynomials of the second kind on closed contours in the complex plane. Properties of these functions and sufficient conditions of expansion of analytic functions into series in Chebyshev ...
O.V. Veselovska +2 more
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Strong Proton‐Phonon Coupling Drives Fast Ion Transport in Perovskites
Advanced Science, EarlyView.Experimental and computational phonon analysis of ABO3‐type proton conductor BaSnO3 shows that substitution on the B‐site with yttrium forms an imaginary phonon mode which is instrumental for the function as proton conductor. This overcompensates the adverse proton trapping effect of the yttrium.
Alexey Rulev +8 more
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Optimization via Chebyshev Polynomials
, 2017 This paper presents for the first time a robust exact line-search method based on a full pseudospectral (PS) numerical scheme employing orthogonal polynomials.
Elgindy, Kareem T.
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Advanced Energy Materials, EarlyView.The densification process of Li6PS5Cl powders with varying particles size distributions reveals differences in smaller and larger distributions. Higher strain is revealed for the smaller particle size distribution from X‐ray diffraction. Discrete element method simulations uncover that the reason for the higher strain is not the particle size itself ...
Vasiliki Faka +14 more
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