On the approximation of locally bounded functions by operators of Bleimann, Butzer and Hahn.
On the Bernstein-Walsh-Siciak theorem
By the Oka-Weil theorem, each holomorphic function f in a neighbourhood of a compact polynomially convex set can be approximated uniformly on K by complex polynomials. The famous Bernstein-Walsh-Siciak theorem specifies the Oka-Weil result: it states that the distance (in the supremum norm on K) of f to the space of complex polynomials of degree at most n tends to zero not slower than the sequence M(f)ρ(f)ⁿ for some M(f) > 0 and ρ(f) ∈ (0,1). The aim of this note is to deduce the uniform version,...
On the Bézier variant of Srivastava-Gupta operators.
On the characterization of Hardy-Besov spaces on the dyadic group and its applications
C. Watari [12] obtained a simple characterization of Lipschitz classes on the dyadic group using the -modulus of continuity and the best approximation by Walsh polynomials. Onneweer and Weiyi [4] characterized homogeneous Besov spaces on locally compact Vilenkin groups, but there are still some gaps to be filled up. Our purpose is to give the characterization of Besov spaces by oscillations, atoms and others on the dyadic groups. As applications, we show a strong capacity inequality of the...
On the comparison of error bounds for finite difference schemes.
On the comparison of trigonometric convolution operators with their discrete analogues for Riemann integrable functions.
On the convergence rate of approximation schemes for Hamilton-Jacobi-Bellman equations
Using systematically a tricky idea of N.V. Krylov, we obtain general results on the rate of convergence of a certain class of monotone approximation schemes for stationary Hamilton-Jacobi-Bellman equations with variable coefficients. This result applies in particular to control schemes based on the dynamic programming principle and to finite difference schemes despite, here, we are not able to treat the most general case. General results have been obtained earlier by Krylov for finite difference...
On the convergence rate of approximation schemes for Hamilton-Jacobi-Bellman Equations
Using systematically a tricky idea of N.V. Krylov, we obtain general results on the rate of convergence of a certain class of monotone approximation schemes for stationary Hamilton-Jacobi-Bellman equations with variable coefficients. This result applies in particular to control schemes based on the dynamic programming principle and to finite difference schemes despite, here, we are not able to treat the most general case. General results have been obtained earlier by Krylov for finite...
On the Degre of L1-aproximation by Modified Bernstein Polynomials
On the degree of approximation by Gauss Weierstrass integrals.
On the degree of approximation by positive linear operators using the B-summability method
On the Degree of Approximation by Spline Functions with Free Knots.
On the Degree of Approximation by the Operators of de la Vallée Poussin.
On the degree of approximation of the Hermite and Hermite-Fejer interpolation.
On the degree of strong approximation of integrable functions.
On the degree of strong approximation of integrable functions in Stepanov sense
Considering the class of almost periodic functions integrable in the Stepanov sense we extend and generalize certain results of the first author, as well as of L. Leindler and P. Chandra.
On the Durrmeyer-type modification of some discrete approximation operators.
On the error estimation in numerical methods
On the generalized Favard-Kantorovich and Favard-Durrmeyer operators in exponential function spaces.
On the limit properties of the Picard singular integral.