Results 71 to 80 of about 165,936,345 (87)

Characterization of Hölder spaces corresponding to Ditzian-Totik modulus of smoothness

Analysis in Theory and Applications, 2000
It is proved that the weighted Hölder spaces \(\Lambda_{\alpha, p}\) on the interval \([-1, 1]\) with the weight \(\varphi(x) = \sqrt {1-x^2}\) are linearly isomorphic to some sequence spaces. The isomorphism is given by the coefficients of functions with respect to a system of orthonormal splines with knots uniformly distributed according to the ...
exaly   +3 more sources

A property of Ditzian–Totik second order moduli [PDF]

Applied Mathematics Letters, 2010
For a function f∈C2[0,1], we prove that limt→0+ωφ2(f,t)t2=‖φ2f″‖, where ωφ2(f,t) denotes a Ditzian–Totik-type modulus of order 2. We apply this result to obtain an asymptotic property for positive linear operators related to Voronovskaja type ...
José Maria Quesada, Jorge Bustamante
exaly   +2 more sources

Smoothness Properties of Modified Bernstein-Kantorovich Operators

Numerical Functional Analysis and Optimization, 2016
In this article, we consider modified Bernstein-Kantorovich operators and investigate their approximation properties. We show that the order of approximation to a function by these operators is at least as good as that of ones classically used. We obtain
Oktay Duman, Mehmet Ali Özarslan
exaly   +2 more sources

The Equivalence Relations between the Ditzian–Totik Moduli of Smoothness and Best Polynomial Approximation in the Besov Spaces [PDF]

Journal of Mathematical Analysis and Applications, 1997
The best polynomial approximation is closely related to the Ditzian–Totik modulus of smoothness. In 1988, Z. Ditzian and V. Totik gave some equivalences between them and the class of Besov-type spacesBα,spwith 1≤p≤∞ and 1≤s≤∞.
Li, Song
exaly   +2 more sources

On a Ditzian-Totik Theorem

Journal of Approximation Theory, 1994
We give the first example that a classical operator, the Bernstein interpolation process, satisfies the Ditzian-Totik ...
Sun, X.H.
exaly   +2 more sources

Asymptotic and Non-asymptotic Results in the Approximation by Bernstein Polynomials [PDF]

Results in Mathematics, 2022
This paper deals with the approximation of functions by the classical Bernstein polynomials in terms of the Ditzian–Totik modulus of smoothness.
Daniel Cárdenas-Morales, José A Adell
exaly   +2 more sources

Rates of convergence for Jakimovski–Leviatan operators in terms of the Ditzian–Totik modulus

Banach Journal of Mathematical Analysis, 2023
Ana Maria Acu, Ioan Rasa, Ana Maria Acu
exaly  

Global smoothness preservation with second order modulus of smoothness

Mathematica Slovaca, 2013
Gancho Tachev
exaly  

Approximation Properties of the Modified Stancu Operators

Numerical Functional Analysis and Optimization, 2017
Ana Maria Acu, P N Agrawal
exaly  

Lower Estimates for Centered Bernstein-Type Operators

Constructive Approximation, 2001
Carmen Sangüesa
exaly