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A variant of the method of quadratures for solving integral equations with fractional integral of Weyl in the main part interpolation polynomial constructed from the values that make up the solution of the quadrature method

Inequalities of Ando's Type for n-convex FunctionsBy utilizing different scalar equalities obtained via Hermite's interpolating polynomial, we

Jensen-type inequalities on time scales for n-convex functions by utilizing some scalar inequalities obtained via Hermite's interpolating polynomial. In addition, the authors

Influence of the methods of constructing ephemerides of major planets and the moon on the accuracy of predicting motion of asteroids place at the junctions of the adjacent interpolation intervals each of which in the ephemerides has its

Numerical solution of first-order exact differential equations by the integrating factor method; [Численное решение дифференциальных уравнений первого порядка в полных дифференциалах методом интегрирующего множителя] are presented as interpolation polynomials depending on a limited number of numerically recoverable expansion

Spline-interpolation solution of the heat equationSpline-interpolation solution of the heat equation

On the Correctness of Polynomial Difference OperatorsThe correctness Cauchy problem is explored for a polynomial difference operator. The easily

Best Approximations of Solutions of Fractional-integral Equations with the Riemann-Liouville Operator the apparatus of algebraic polynomials. At the same time, the Fredholm property of an integral equation operator

Новый подход к формированию систем линейных алгебраических уравнений для решения обыкновенных дифференциальных уравнений методом коллокаций as an expansion in Chebyshev polynomials. It is proposed instead of the usual approach, which consists

Piecewise Polynomial Models for Aggregation and Regression Analysis in Remote Sensing of the Earth Problems data. It is proposed to use piecewise polynomial models, including spline aggregate functions. We show

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