A Characterization of C(X) Among Algebras on Planar Sets by the Existence of a Finite Universal Korovkin System.
A Characterization Theorem for the K-functional Associated with the Algebraic Version of Trigonometric Jackson Integrals
2000 Mathematics Subject Classification: 41A25, 41A36.The purpose of this paper is to present a characterization of a certain Peetre K-functional in Lp[−1,1] norm, for 1 ≤ p ≤ 2 by means of a modulus of smoothness. This modulus is based on the classical one taken on a certain linear transform of the function.
A discrete integral representation for polynomials of fixed maximal degree and their universal Korovkin closure.
A discrete stochastic Korovkin theorem.
A Korovkin type approximation theorems via -convergence
Using the concept of -convergence we provide a Korovkin type approximation theorem by means of positive linear operators defined on an appropriate weighted space given with any interval of the real line. We also study rates of convergence by means of the modulus of continuity and the elements of the Lipschitz class.
A Korovkin-type theorem in the space of Riemann integrable funciotns.
A lower bound for the second moment of Schoenberg operator.
A method for summability of Lagrange interpolation.
A new estimate on the rate of convergence of Durrmeyer–Bézier operators.
A note on integral modification of the Meyer-König and Zeller operators.
A note on one of the Bernstein theorems
One of the Bernstein theorems that the class of bounded functions of the exponential type is dense in the space of bounded and uniformly continuous functions. This theorem follows from a convergence theorem for some interpolating operators on the real axis.
A note on the convergence of partial Szász-Mirakyan type operators
In this paper we study approximation properties of partial modified Szasz-Mirakyan operators for functions from exponential weight spaces. We present some direct theorems giving the degree of approximation for these operators. The considered version of Szász-Mirakyan operators is more useful from the computational point of view.
A pointwise approximation theorem for linear combinations of Bernstein polynomials.
A remark on a modified Szász-Mirakjan operator
We prove that, for a sequence of positive numbers δ(n), if as , to guarantee that the modified Szász-Mirakjan operators converge to f(x) at every point, f must be identically zero.
A saturation theorem for combinations of Bernstein-Durrmeyer polynomials
We prove a local saturation theorem in ordinary approximation for combinations of Durrmeyer's integral modification of Bernstein polynomials.
A short proof of a result of Kogbetliantz on the positivity of certain Cesàro means.
A Voronovskaya-type theorem for a positive linear operator.
About a class of linear positive operators obtained by choosing the nodes.
About approximation of B-continuous functions of three variables by GBS operators of Bernstein type on a tetrahedron.
About some bivariate operators of Stancu type.