Results 21 to 30 of about 532 (83)
Simultaneous approximation with the RAFU method
, 2016 Let f be a function k times continuously differentiable in [a,b] , then we will prove that the RAFU method provides a sequence (Hn)n defined in [a,b] such that for each j = 0, ...,k ∥∥ f ( j) −H j) n ∥∥ [ M−m √ n +ω ( f (k), b−a n )] (b−a)k− j being n 2 ,
E. Corbacho
semanticscholar +1 more source
Extension of the best approximation operator in Orlicz spaces and weak‐type inequalities
Abstract and Applied Analysis, Volume 6, Issue 2, Page 101-114, 2001., 2001 We consider an extension of the best approximation operator from an Orlicz space L φ to the space L φ′, where φ′ denotes the derivative of φ, and we prove a weak‐type inequality in this space. Further, we obtain some strong inequalities for suitable L ψ spaces.
Sergio Favier, Felipe Zò
wiley +1 more source
On Euler harmonic identities for measures and error estimations
, 2017 Some new approximations of functions are given by using generalized Euler identities involving real Borel measures and harmonic sequences of functions.
Ambroz Čivljak
semanticscholar +1 more source
Approximation by weighted means of Walsh‐Fourier series
International Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 1, Page 1-8, 1996., 1995 We study the rate of approximation to functions in Lp and, in particular, in Lip(α, p) by weighted means of their Walsh‐Fourier series, where α > 0 and 1 ≤ p ≤ ∞. For the case p = ∞, Lp is interpreted to be CW, the collection of uniformly W continuous functions over the unit interval [0, 1). We also note that the weighted mean kernel is quasi‐positive,
F. Móricz, B. E. Rhoades
wiley +1 more source
On the lower semi‐continuity of the set valued metric projection
International Journal of Mathematics and Mathematical Sciences, Volume 15, Issue 3, Page 455-463, 1992., 1991 The lower semi‐continuity of best approximation operators from Banach lattices on to closed ideals is investigated. Also the existence of best approximation to sub‐function modules of function modules is proved. The order intersection properties of cells are studied and used to prove the above results.
Fowzi Ahmad Sejeeni
wiley +1 more source
Uniform approximation by incomplete polynomials
International Journal of Mathematics and Mathematical Sciences, Volume 1, Issue 4, Page 407-420, 1978., 1978 For any θ with 0 < θ < 1, it is known that, for the set of all incomplete polynomials of type θ, i.e, , to have the Weierstrass property on [aθ, 1], it is necessary that In this paper, we show that the above inequalities are essentially sufficient as well.
E. B. Saff, R. S. Varga
wiley +1 more source
A General Approximation Approach for the Simultaneous Treatment of Integral and Discrete Operators
Advanced Nonlinear Studies, 2018 In this paper, we give a unitary approach for the simultaneous study of the convergence of discrete and integral operators described by means of a family of linear continuous functionals acting on functions defined on locally compact Hausdorff ...
Vinti Gianluca, Zampogni Luca
doaj +1 more source
Extending the range of error estimates for radial approximation in Euclidean space and on spheres
, 2006 We adapt Schaback's error doubling trick [R. Schaback. Improved error bounds for scattered data interpolation by radial basis functions. Math. Comp., 68(225):201--216, 1999.] to give error estimates for radial interpolation of functions with smoothness ...
Duchon J. +4 more
core +1 more source
Wendland functions with increasing smoothness converge to a Gaussian
, 2013 The Wendland functions are a class of compactly supported radial basis functions with a user-specified smoothness parameter. We prove that with a linear change of variables, both the original and the "missing" Wendland functions converge uniformly to a ...
Chernih, A. +2 more
core +1 more source
New expansion and infinite series
, 2014 Different from the Taylor polynomials, a new formula for function expansion is proposed where the terms are not polynomials. A new infinite series based on the new formula is also proposed, and the new infinite series can keep some important properties ...
Daiyuan Zhang
semanticscholar +1 more source