Results 21 to 30 of about 13,679 (194)
Journal of Mathematics, 2022 In the paper, we study the upper bound estimation of the Lebesgue constant of the bivariate Lagrange interpolation polynomial based on the common zeros of product Chebyshev polynomials of the second kind on the square −1,12. And, we prove that the growth
Juan Liu, Laiyi Zhu
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To Solution of Contact Problem for Rectangular Plate on Elastic Half-Space
Наука и техника, 2020 Until the present time there is no exact solution to the contact problem for a rectangular plate on an elastic base with distribution properties. Practical analogues of this design are slab foundations widely used in construction.
S. V. Bosakov
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Half-bounded numerical solution of singular integral equations with Cauchy kernel. [PDF]
, 2011 In this study, a numerical solution for singular integral equations of the first kind with Cauchy kernel over the finite segment [-1,1] is presented. The numerical solution is bounded at x =1 and unbounded at x = -1.
Eshkuratov, Zainidin K. +2 more
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An Identity Involving the Integral of the First-Kind Chebyshev Polynomials
Mathematical Problems in Engineering, 2018 We used the algebraic manipulations and the properties of Chebyshev polynomials to obtain an interesting identity involving the power sums of the integral of the first-kind Chebyshev polynomials and solved an open problem proposed by Wenpeng Zhang and Tingting Wang.
Xiao Wang, Jiayuan Hu
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One dimensional metrical geometry [PDF]
, 2007 One dimensional metrical geometry may be developed in either an affine or projective setting over a general field using only algebraic ideas and quadratic forms.
Wildberger, N J
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Complex Factorizations of the Lucas Sequences via Matrix Methods
Journal of Applied Mathematics, 2014 Firstly, we show a connection between the first Lucas sequence and the determinants of some tridiagonal matrices. Secondly, we derive the complex factorizations of the first Lucas sequence by computing those determinants with the help of Chebyshev ...
Honglin Wu
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Solving Non-Linear Fractional Variational Problems Using Jacobi Polynomials
Mathematics, 2019 The aim of this paper is to solve a class of non-linear fractional variational problems (NLFVPs) using the Ritz method and to perform a comparative study on the choice of different polynomials in the method.
Harendra Singh +2 more
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An Efficient Collocation Method for the Numerical Solutions of the Pantograph-Type Volterra Hammerstein Integral Equations and its Convergence Analysis [PDF]
Computational Algorithms and Numerical Dimensions, 2022 In this work, we consider a collocation method for solving the pantograph-type Volterra Hammerstein integral equations based on the first kind Chebyshev polynomials. We use the Lagrange interpolating polynomial to approximate the solution.
Hashem Saberi Najafi +2 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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On an hypercomplex generalization of Gould-Hopper and related Chebyshev polynomials [PDF]
, 2011 An operational approach introduced by Gould and Hopper to the construction of generalized Hermite polynomials is followed in the hypercomplex context to build multidimensional generalized Hermite polynomials by the consideration of an appropriate basic ...
F. Brackx +12 more
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