Results 21 to 30 of about 1,239,411 (205)
Journal of Mathematical Analysis and Applications, 1990 The abscissa of the point of intersection of the tangents of the graph of a convex function at two points is a mean-value of the abscissae of those two points. As generalizations, the author defines mean-values as abscissae of the point of intersection of Taylor or Hermite polynomials of odd degree n to \(C^{n+1}\) functions, convex of order n, at two ...
A. Horwitz
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Applications of q-Borel distribution series involving q-Gegenbauer polynomials to subclasses of bi-univalent functions [PDF]
HeliyonThis study introduces a new class of bi-univalent functions in the open disk using q-Borel distribution series and q-Gegenbauer polynomials. It provides estimates for the Taylor coefficients |μ2| and |μ3| for this family of functions, as well as ...
T. Al-Hawary +5 more
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Means and Averages of Taylor Polynomials
Journal of Mathematical Analysis and Applications, 1993 Let \(f\) have a continuous \((r+ 1)\)st derivative, nowhere 0 on \([a,b]\) and \(P_ c\) its Taylor polynomial at \(c\). Noting that \(P_ a(M)= P_ b(M)\), if \(r\) is odd, and \(2f(M)= P_ a(M)+ P_ b(M)\), if \(r\) is even, have unique solutions, the author denotes these by \(M^ r_ p\) if \(f(x)= x^ p\) (creating some confusion with his previous ...
A. Horwitz
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Multifidelity Orbit Uncertainty Propagation using Taylor Polynomials [PDF]
AIAA SCITECH 2022 Forum, 2022 A new multifidelity method is developed for nonlinear orbit uncertainty propagation. This approach guarantees improved computational efficiency and limited accuracy losses compared to fully high-fidelity counterparts.
Alberto Fossà +4 more
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Solutions of Fredholm integro-differential equations by using a hybrid of block-pulse functions and Taylor polynomials [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2021 In this paper, we present numerical method for solving integro-differential equations of fractional order based on a hybrid of block-pulse functions and Taylor polynomials. Fractional derivative is described in the Caputo sense. Some numerical examples
Nattinee Khongnual, Weerachai Thadee
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Turkish Journal of Mathematics, 2021 In this paper, a novel approach is proposed to solve fractional differential equations (FDEs) based on hybrid functions. The hybrid functions consist of block-pulse functions and Taylor polynomials.
Yao Lu, Yinggan Tang
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Efficient Evaluation of Matrix Polynomials beyond the Paterson–Stockmeyer Method
Mathematics, 2021 Recently, two general methods for evaluating matrix polynomials requiring one matrix product less than the Paterson–Stockmeyer method were proposed, where the cost of evaluating a matrix polynomial is given asymptotically by the total number of matrix ...
Jorge Sastre, Javier Ibáñez
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Nonlinear Engineering, 2023 Recently solving integro-differential equations have been the focus of attention among many researchers in the field of mathematic and engineering.
Ayati Zainab, Pourjafar Sadegh
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Advances in the Approximation of the Matrix Hyperbolic Tangent
Mathematics, 2021 In this paper, we introduce two approaches to compute the matrix hyperbolic tangent. While one of them is based on its own definition and uses the matrix exponential, the other one is focused on the expansion of its Taylor series.
Javier Ibáñez +4 more
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Multivariate approximation by a combination of modified Taylor polynomials
Journal of Computational and Applied Mathematics, 2006 A. Guessab, O. Nouisser, G. Schmeisser
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