The approximation of functions in the sense of Tchebychev. II
The approximation of functions in the sense of Tchebychev. I
The Approximation of Solutions to Linear Homogeneous Differential Equations by Rational Functions.
The approximation property of order p in locally convex spaces.
The asymptotic behaviour of certain entire functions of order zero.
The asymptotic distribution of general interpolation arrays for exponential weights.
The Average A Posteriori Error of Numerical Methods.
The average errors for the Grünwald interpolation in the Wiener space.
The Baskakov operators for functions of two variables.
The Bessel-Struve intertwining operator on and mean-periodic functions.
The best algebraic approximation in Hölder norm.
The best approximation of the sinc function by a polynomial of degree with the square norm.
The best L2-approximation by finite sums of functions with separable variables.
The best uniform quadratic approximation of circular arcs with high accuracy
In this article, the issue of the best uniform approximation of circular arcs with parametrically defined polynomial curves is considered. The best uniform approximation of degree 2 to a circular arc is given in explicit form. The approximation is constructed so that the error function is the Chebyshev polynomial of degree 4; the error function equioscillates five times; the approximation order is four. For θ = π/4 arcs (quarter of a circle), the uniform error is 5.5 × 10−3. The numerical examples...
The Boubaker polynomials expansion scheme BPES for solving a standard boundary value problem.
The case of equality in Landau's problem.
The Chebyshev Solution of Certain Matrix Equations.
The circle theorem and related theorems for Gauss-type quadrature rules.
The Convergence and Saturation of Iterations of Positive Linear Operators.
The Convergence Rates of Expansions in Jacobi Polynomials.