On farthest and nearly farthest points
On Gamma-Type Approximation Operators.
On Gauss Quadrature Formulas with Equal Weights.
On General Hermite Trigonometric Interpolation.
On generalizations of Ostrowski inequality via Euler harmonic identities.
On global approximation properties of abstract integral operators in Orlicz spaces and applications.
On global smoothness preservation in complex approximation
By using the properties of convergence and global smoothness preservation of multivariate Weierstrass singular integrals, we establish multivariate complex Carleman type approximation results with rates. Here the approximants fulfill the global smoothness preservation property. Furthermore Mergelyan's theorem for the unit disc is strengthened by proving the global smoothness preservation property.
On good approximation in metric spaces
On Hermite expansions of 1/x and 1/|x|
On Hermite expansions of and ln|x|
On Hermite interpolation formula.
On Hermite interpolation in .
On integral Bernstein operators in some classes of measurable bivariate functions.
On integral type generalizations of positive linear operators
We introduce a sequence of positive linear operators including many integral type generalizations of well known operators. Using the concept of statistical convergence we obtain some Korovkin type approximation theorems for those operators, and compute the rates of statistical convergence. Furthermore, we deal with the local approximation and the rth order generalization of our operators.
On interpolation in 3-dimensional space
On interpolation of completely monotonic sequences
On interpolation polynomials of the Hermite-Fejér type
On Jackson type inequality in Orlicz classes.
It is shown that Jackson type inequality fails in the Orlicz classes φ(L) if φ(x) differs essentially from a power function of any order.
On Kantorovich-type operator.
On Korovkin type theorem in the space of locally integrable functions
It is shown that a Korovkin type theorem for a sequence of linear positive operators acting in weighted space does not hold in all this space and is satisfied only on some subspace.