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.
A linear numerical scheme for nonlinear BSDEs with uniformly continuous coefficients.
A lower bound for the second moment of Schoenberg operator.
A lower triangular Hermite normal form for projection-regular lattice rules.
A Lusin Type Approximation of Bessel Potentials and Besov Functions by Smooth Functions.
A Markov Type Inequality for Higher Derivates of Polynomials.
A Method for Computing the Tension Parameters in Convexity-Preserving Spline-in-Tension Interpolation.
A method for construction of spline curves.
A method for summability of Lagrange interpolation.
A method of approximation of Besov spaces
A method of approximation of spaces of generalized functions
A modification of the Whittaker-Kotelnikov-Shannon sampling series.
A modulus of smoothness based on an algebraic addition.
A moment problem for discrete nonpositive measures on a finite interval.