Results 11 to 20 of about 10,186 (263)
A Rational Approximant for the Digamma Function [PDF]
Numerical Algorithms, 2003 Power series representations for special functions are computationally satisfactory only in the vicinity of the expansion point. Thus, it is an obvious idea to use instead Padé approximants or other rational functions constructed from sequence transformations.
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Mathematics, 2022 We introduce a tensor-product kind bivariate operator of a new generalization of Bernstein-type rational functions and its GBS (generalized Boolean sum) operator, and we investigate their approximation properties by obtaining their rates of convergence ...
Esma Yıldız Özkan, Gözde Aksoy
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Fejer means of rational Fourier – Chebyshev series and approximation of function |x|s
Журнал Белорусского государственного университета: Математика, информатика, 2019 Approximation properties of Fejer means of Fourier series by Chebyshev – Markov system of algebraic fractions and approximation by Fejer means of function |x|s, 0 < s < 2, on the interval [−1,1], are studied.
Pavel G. Patseika, Yauheni A. Rouba
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On rational Abel – Poisson means on a segment and approximations of Markov functions
Журнал Белорусского государственного университета: Математика, информатика, 2021 Approximations on the segment [−1, 1] of Markov functions by Abel – Poisson sums of a rational integral operator of Fourier type associated with the Chebyshev – Markov system of algebraic fractions in the case of a fixed number of geometrically different
Pavel G. Patseika, Yauheni A. Rouba
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Computing the reciprocal of a ϕ-function by rational approximation
Advances in Computational Mathematics, 2021 In this paper we introduce a family of rational approximations of the reciprocal of a $ϕ$-function involved in the explicit solutions of certain linear differential equations, as well as in integration schemes evolving on manifolds. The derivation and properties of this family of approximations applied to scalar and matrix arguments are presented ...
Boito, Paola +2 more
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Energies, 2022 This paper proposes a rational approximation-based approach to find positive real parameters for the extended Debye model (EDM), aimed at condition assessment of insulation systems of power transformers.
Giovanni Hernandez, Abner Ramirez
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Researches in MathematicsThe paper considers the classical problem of the rational approximation of analytic functions of complex variable, in particulary, to issues that arise when constructing branched continued fraction expansions for generalized hypergeometric functions ...
Y. Lutsiv +3 more
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PLoS ONE, 2023 Support vector machine (SVM) is a new machine learning method developed from statistical learning theory. Since the objective function of the unconstrained SVM model is a non-smooth function, a lot of fast optimization algorithms can't be used to find ...
Jianjian Wang, Feng He, Shouheng Sun
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The Investigation of the Discrete Universality of L-Functions of Elliptic Curves
Jaunųjų Mokslininkų Darbai, 2022 In the paper, we prove the discrete universality theorem in the sense of the weak convergence of probability measures in the space of analytic functions for the L-functions of elliptic curves.
Samanta Zakaitė, Antanas Garbaliauskas
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Analytic approximate eigenvalues by a new technique. Application to sextic anharmonic potentials
Results in Physics, 2018 A new technique to obtain analytic approximant for eigenvalues is presented here by a simultaneous use of power series and asymptotic expansions is presented.
D. Diaz Almeida, P. Martin
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