A General Approach to Counterexamples in Numerical Analysis.
A general class of nonlinear univariate subdivision algorithms and their -smoothness.
A General framework for local interpolation.
A general Hilbert space approach to framelets.
A general inequality of Grüss type.
A general quadrature formula using zeros of spherical Bessel functions as nodes
A general quadrature formula using zeros of spherical Bessel functions as nodes
We obtain, for entire functions of exponential type satisfying certain integrability conditions, a quadrature formula using the zeros of spherical Bessel functions as nodes. We deduce from this quadrature formula a result of Olivier and Rahman, which refines itself a formula of Boas.
A general theorem on triangular finite -elements
A generalization of an Ekeland-Lebourg theorem and the differentiability of distance functions
A generalization of Durrmeyer type.
A generalization of Hermite interpolation.
A generalization of the pre-Grüss inequality and applications to some quadrature formulae.
A generalized ADI iterative method.
A Generalized Sampling Theorem with the Inverse of an Arbitrary Square Summable Sequence as Sampling Points.
A Global Approximation Theorem for Meyer-König and Zeller Operators.
A gradient-projective basis of compactly supported wavelets in dimension n > 1
A given set W = W X of n-variable class C 1 functions is a gradient-projective basis if for every tempered distribution f whose gradient is square-integrable, the sum converges to f with respect to the norm . The set is not necessarily an orthonormal set; the orthonormal expansion formula is just an element of the convex set of valid expansions of the given function f over W. We construct a gradient-projective basis W = W x of compactly supported class C 2−ɛ functions on ℝn such that [...]...
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 Kronecker theorem in functional analysis
A limit theorem for one-parameter alteration of two knots of B-spline curves.