Results 61 to 70 of about 173,280,044 (84)

The central approximation theorems for Baskakov–Be´zier operators

open access: yes, 2007
For Baskakov–Be´zier operators we give the direct, inverse and equivalence approximation theorems with unified Ditzian–Totik modulus ωϕλ(f,t)(0≤λ≤1)
Guo, Shunsheng, Qi, Qiulan, Liu, Guofen
core   +1 more source

Genuine modified Bernstein-Durrmeyer operators. [PDF]

open access: yesJ Inequal Appl, 2018
Mohiuddine SA, Acar T, Alghamdi MA.
europepmc   +1 more source

Minimax Estimation of Functionals of Discrete Distributions. [PDF]

open access: yesIEEE Trans Inf Theory, 2015
Jiao J, Venkat K, Han Y, Weissman T.
europepmc   +1 more source

QUANTITATIVE ESTIMATES FOR MODIFIED BETA OPERATORS

open access: yes, 2019
In this paper, we introduce a sequence of positive linear Beta type operators based on a function tau having certain properties. We firstly give some approximation properties of these operators. Next, we establish Voronovskaja type and Gruss-Voronovskaja
Bascanbaz-Tunca, Gulen   +2 more
core  

Una caracterización del primer módulo de Ditzian-Totik

open access: yes, 2005
En el trabajo, se presenta un nuevo método para obtener una caracterización del módulo de suavidad de primer orden de Ditzian-Totik, en términos de una K-funcional. La importancia de este nuevo métoodo, radica en el hecho de que permite obtener estimados
Bustamante González, Jorge   +1 more
core  

APPROXIMATION BY THE SUMMATION INTEGRAL TYPE OPERATORS BASED ON LUPAS-SZASZ BASIS FUNCTIONS

open access: yes, 2018
In this paper, the summation integral type operators based on Lupas and Szasz basis functions are introduced. The degree of approximation of these operators is examined in terms of Ditzian-Totik modulus of smoothness and corresponding K-functional.
İSPİR, NURHAYAT, Manav, Nesibe
core  

The degree of coconvex polynomial approximation

open access: yes, 1999
. Let f ∈ C[−1, 1] change its convexity finitely many times in the interval, say s times, at Ys: −1 <y1 <···<ys <1. We estimate the degree of approximation of f by polynomials of degree n, which change convexity exactly at the points Ys.
I. A. Shevchuk   +3 more
core  

A Property of Ditzian–Totik Second Order Moduli

open access: yesApplied 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 M A Quesada, Jorge Bustamante
exaly   +2 more sources

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

open access: yesResults 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

Smoothness Properties of Modified Bernstein-Kantorovich Operators

open access: yesNumerical 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

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