A quadrature formula of rational type for integrands with one endpoint singularity.
A recursive interpolation method in
A remark on a class of universal hill functions
A remark on a modified Szász-Mirakjan operator
We prove that, for a sequence of positive numbers δ(n), if as , to guarantee that the modified Szász-Mirakjan operators converge to f(x) at every point, f must be identically zero.
A remark on a theorem of A. B. Németh regarding the convergence of sequences of linear operators on space C[a,b]
A Remark on Periodic Tchebyshev Systems.
A remark on the approximation theorems of Whitney and Carleman-Scheinberg
We show that a -smooth mapping on an open subset of , , can be approximated in a fine topology and together with its derivatives by a restriction of a holomorphic mapping with explicitly described domain. As a corollary we obtain a generalisation of the Carleman-Scheinberg theorem on approximation by entire functions.
A remark on uniqueness of best rational approximants of degree 1 in of the circle.
A Remez Type Algorithm for Spline Functions
A result on best approximation in -normed spaces
We study best approximation in -normed spaces via a general common fixed point principle. Our results unify and extend some known results of Carbone [ca:pt], Dotson [do:bs], Jungck and Sessa [ju:at], Singh [si:at] and many of others.
A result on Chebyshev centres
A review of procedures for summing Kapteyn series in mathematical physics.
A saturation theorem for combinations of Bernstein-Durrmeyer polynomials
We prove a local saturation theorem in ordinary approximation for combinations of Durrmeyer's integral modification of Bernstein polynomials.
A sequence considered by I. J. Schoenberg?
A sharp Bernstein-type inequality for exponential sums.
A sharp companion of Ostrowski’s inequality for the Riemann–Stieltjes integral and applications
A sharp companion of Ostrowski’s inequality for the Riemann-Stieltjes integral [...] ∫abf(t) du(t) , where f is assumed to be of r-H-Hölder type on [a, b] and u is of bounded variation on [a, b], is proved. Applications to the approximation problem of the Riemann-Stieltjes integral in terms of Riemann-Stieltjes sums are also pointed out.
A short proof of a result of Kogbetliantz on the positivity of certain Cesàro means.
A simple proof of the Chui-Smith theorem on Landau's problem
A Simple Rational Spline and its Application to Monotonic Interpolation to Monotonic Data.
A simplification of the Laplace method for double integrals. Application to the second Appell function.