Results 21 to 30 of about 32,975 (289)
Mathematical Modelling and Analysis, 2016 We consider integral error representation related to the Hermite interpolating polynomial and derive some new estimations of the remainder in quadrature formulae of Hermite type, using Holder’s inequality and some inequalities for the Čebyšev functional.
Gorana Aras-Gazic +2 more
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Journal of Mathematics, 2023 This paper deals with the numerical solution of a class of highly oscillatory Volterra integral equations by collocation methods based on the exponential fitting technique.
S. Khudhair Abbas +2 more
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Reconstruction formula for differential systems with a singularity [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2021 Our studies concern some aspects of scattering theory of the singular differential systems $y'-x^{-1}Ay-q(x)y=\rho By$, $x>0$ with $n\times n$ matrices $A,B, q(x), x\in(0,\infty)$, where $A,B$ are constant and $\rho$ is a spectral parameter.
Ignatyev, M. Yu.
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Representations for Integral Functionals of Kernel Density Estimators
Austrian Journal of Statistics, 2016 We establish a representation as a sum of independent random variables, plus a remainder term, for estimators of integral functionals of the density function, which have a certain simple structure.
David M. Mason
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Analysis of Generalized Multistep Collocation Solutions for Oscillatory Volterra Integral Equations
Mathematics, 2020 In this work, we introduce a class of generalized multistep collocation methods for solving oscillatory Volterra integral equations, and study two kinds of convergence analysis.
Hao Chen, Ling Liu, Junjie Ma
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Truncated V-fractional Taylor's Formula with Applications
Trends in Computational and Applied Mathematics, 2018 In this paper, we present and prove a new truncated V-fractional Taylor's formula using the truncated V-fractional variation of constants formula. In this sense, we present the truncated V-fractional Taylor's remainder by means of V-fractional integral ...
José Vanterler da Costa Sousa +1 more
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Estimates of the integral remainders in several numerical integral formulas using The Henstock-Kurzweil integral [PDF]
Journal of Mathematical Inequalities, 2009 Some integral remainders of Trapezoidal, Corrective Trapezoidal and Simpson for- mulas are given. The Holder inequality and Henstock-Kurzweil integral are used to estimate the remainders in terms of Alexiewicz and Lebesgue p-norms.
Xiaofeng Ding, Guoju Ye, Wei Chi Yang
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Generalized geoidal estimators for deterministic modifications of spherical Stokes’ function
Contributions to Geophysics and Geodesy, 2010 Stokes’ integral, representing a surface integral from the product of terrestrial gravity data and spherical Stokes’ function, is the theoretical basis for the modelling of the local geoid.
Michal ŠPRLÁK
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Exact Values of the Gamma Function from Stirling’s Formula
Mathematics, 2020 In this work the complete version of Stirling’s formula, which is composed of the standard terms and an infinite asymptotic series, is used to obtain exact values of the logarithm of the gamma function over all branches of the complex plane. Exact values
Victor Kowalenko
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Logarithmic singularity subtraction for matrix‐friendly layered medium Green's functions
Electronics LettersA subtraction procedure is proposed to evaluate the logarithmic singularity for matrix‐friendly layered medium Green's functions. In this subtraction procedure, an integral of the Bessel function combined with the exponential function and power function,
Shuo Wang
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