Properties of -Meyer-König-Zeller Durrmeyer operators.
Properties of refinable measures.
We give some new properties of refinable measures and survey results on their asymptotic normality. We also give a survey on the asymptotically optimal time-frequency localisation of refinable measures and associated wavelets.
Properties of some bivariate approximants.
The smoothness and approximation properties of certain discrete operators for bivariate functions are examined.
Properties of the modulus of continuity for monotonous convex functions and applications.
Properties of typical bounded closed convex sets in Hilbert space.
Proximinal subspaces of of finite codimension.
Proximinality and co-proximinality in metric linear spaces
As a counterpart to best approximation, the concept of best coapproximation was introduced in normed linear spaces by C. Franchetti and M. Furi in 1972. Subsequently, this study was taken up by many researchers. In this paper, we discuss some results on the existence and uniqueness of best approximation and best coapproximation when the underlying spaces are metric linear spaces
Proximinality in generalized direct sums.
-parametric Bleimann Butzer and Hahn operators.
Quadratic Interpolatory Splines.
Quadratic spline quasi-interpolants on bounded domains of .
Quadratic splines interpolating derivatives
Quadratic splines smoothing the first derivatives
The extremal property of quadratic splines interpolating the first derivatives is proved. Quadratic spline smoothing the given values of the first derivative, depending on the knot weights and smoothing parameter , is then studied. The algorithm for computing appropriate parameters of such splines is given and the dependence on the smoothing parameter is mentioned.
Quadrature error expansions. II. The full corner singularity.
Quadrature Formulae for Hp Functions.
Quadrature formulas based on the scaling function
The scaling function corresponding to the Daubechies wavelet with two vanishing moments is used to derive new quadrature formulas. This scaling function has the smallest support among all orthonormal scaling functions with the properties and . So, in this sense, its choice is optimal. Numerical examples are given.
Quadrature formulas for rational functions.
Quadrature Formulas Obtained by Variable Tranformation.
Quadrature of singular integrands over surfaces.
Quadrature over the sphere.