On rational approximations to the exponential
On regularization in superreflexive Banach spaces by infimal convolution formulas
We present here a new method for approximating functions defined on superreflexive Banach spaces by differentiable functions with α-Hölder derivatives (for some 0 < α≤ 1). The smooth approximation is given by means of an explicit formula enjoying good properties from the minimization point of view. For instance, for any function f which is bounded below and uniformly continuous on bounded sets this formula gives a sequence of Δ-convex functions converging to f uniformly on bounded sets and...
On representation formulars for intermediate derivates.
On Representations of Algebraic Polynomials by Superpositions of Plane Waves
* The author was supported by NSF Grant No. DMS 9706883.Let P be a bi-variate algebraic polynomial of degree n with the real senior part, and Y = {yj }1,n an n-element collection of pairwise noncolinear unit vectors on the real plane. It is proved that there exists a rigid rotation Y^φ of Y by an angle φ = φ(P, Y ) ∈ [0, π/n] such that P equals the sum of n plane wave polynomials, that propagate in the directions ∈ Y^φ .
On restricted derivative approximation
On Richardson Extrapolation for Finite Difference Methods on Regular Grids.
On semiregular families of triangulations and linear interpolation
We consider triangulations formed by triangular elements. For the standard linear interpolation operator we prove the interpolation order to be for provided the corresponding family of triangulations is only semiregular. In such a case the well-known Zlámal’s condition upon the minimum angle need not be satisfied.
On sequences off linear functionals and some operators of the class .
On shape preserving spline interpolation: existence theorems and determination of optimal splines
On Simpson's inequality and applications.
On simultaneous approximation for certain Baskakov Durrmeyer type operators.
On simultaneous approximation for some modified Bernstein-type operators.
On smoothing conditions of multivariate splines.
On some classes of Bernstein type operators which preserve the global smoothness in the case of univariate functions.
On some constants in approximation by Bernstein operators.
On some constants in simultaneous approximation.
On some generalization of box splines
We give a generalization of box splines. We prove some of their properties and we give applications to interpolation and approximation of functions.
On some properties of Kantorovich bivariate operators.
On some properties of LB-splines
On some properties of the Picard operators
We consider the Picard operators and in exponential weighted spaces. We give some elementary and approximation properties of these operators.