A Characterization of Multivariate Quasi-interpolation Formulas and its Applications.
A characterization of the approximation order for multivariate spline spaces
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 General Approach to Counterexamples in Numerical Analysis.
A general class of nonlinear univariate subdivision algorithms and their -smoothness.
A generalization of Durrmeyer type.
A generalization of Hermite interpolation.
A Global Approximation Theorem for Meyer-König and Zeller Operators.
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 Kronecker theorem in functional analysis
A lower bound for the second moment of Schoenberg operator.
A method for summability of Lagrange interpolation.
A method of approximation of Besov spaces
A modification of the Whittaker-Kotelnikov-Shannon sampling series.
A new approach to nonlinear singular integral operators depending on three parameters
In this paper, we present some theorems on weighted approximation by two dimensional nonlinear singular integral operators in the following form: T λ ( f ; x , y ) = ∬ R 2 ( t − x , s − y , f ( t , s ) ) d s d t , ( x , y ) ∈ R 2 , λ ∈ Λ , where Λ is a set of non-negative numbers with accumulation point λ0.
A New Characterization of Weighted Peetre K-Functionals (II)
2000 Mathematics Subject Classification: 46B70, 41A25, 41A17, 26D10. ∗Part of the results were reported at the Conference “Pioneers of Bulgarian Mathematics”, Sofia, 2006.Certain types of weighted Peetre K-functionals are characterized by means of the classical moduli of smoothness taken on a proper linear transforms of the function. The weights with power-type asymptotic at the ends of the interval with arbitrary real exponents are considered. This paper extends the method and results presented...
A note on a Theorem of Ermakov
A note on integral modification of the Meyer-König and Zeller operators.
A note on lacunary approximation on [-1,1]
A note on rate of approximation for certain Bézier-Durrmeyer operators