On a boundary value problem of the fourth order
On a mixed-type interpolation problem for real polynomials
On a new kind of 2-periodic trigonometric interpolation
It is well-known that the interpolation theory plays an important role in many fields of computer vision, especially in surface reconstruction. In this paper, we introduce a new kind of 2-period interpolation of functions with period . We find out the necessary and sufficient conditions for regularity of this new interpolation problem. Moreover, a closed form expression for the interpolation polynomial is given. Our interpolation is of practical significance. Our results provide the theoretical...
On a subclass of functions for which the Lagrange interpolation yields the Jackson order of approximation.
On a theorem which limits the number of mixed interpolated derivatives for some plane regular uniform rectangular Birkhoff interpolation schemes.
On an Interpolation Process of Lagrange-Hermite Type
On approximation by Chebyshevian box splines
Chebyshevian box splines were introduced in [5]. The purpose of this paper is to show some new properties of them in the case when the weight functions are of the form , where the functions are periodic functions of one variable. Then we consider the problem of approximation of continuous functions by Chebyshevian box splines.
On approximation by Lagrange interpolating polynomials for a subset of the space of continuous functions
We construct a piecewise differentiable function that is not piecewise analytic and satisfies a Jackson type estimate for approximation by Lagrange interpolating polynomials associated with the extremal points of the Chebyshev polynomials.
On approximation of functions and their derivatives by quasi-Hermite interpolation.
On bivariate Hermite interpolation and the limit of certain bivariate Lagrange projectors
We give a new poised bivariate Hermite scheme and a formula for the interpolation polynomial. We show that the Hermite interpolation polynomial is the limit of bivariate Lagrange interpolation polynomials at Bos configurations on circles.
On commutativity of interpolation with intersection
On constrained uniform approximation.
On degrees of approximation of some classes by polynomials with respect to generalized Haar system.
On Equally Weighted Quadratures.
On error estimates for interpolating splines with minimal defect
On General Hermite Trigonometric Interpolation.
On Hermite interpolation in .
On interpolation in 3-dimensional space
On interpolation of completely monotonic sequences
On interpolation polynomials of the Hermite-Fejér type