Results 1 to 10 of about 551 (94)
Towards the best constant in front of the Ditzian-Totik modulus of smoothness [PDF]
Journal of Inequalities and Applications, 2016 We give accurate estimates for the constants K ( A ( I ) , n , x ) = sup f ∈ A ( I ) | L n f ( x ) − f ( x ) | ω σ 2 ( f ; 1 / n ) , x ∈ I , n = 1 , 2 , … , $$ K\bigl(\mathcal{A}(I), n, x\bigr)=\sup_{f\in\mathcal{A}(I)}\frac{|L_{n} f(x)-f(x)|}{\omega_ ...
José A Adell, Alberto Lekuona
doaj +6 more sources
New theorems in approximation theory [PDF]
مجلة بغداد للعلوم, 2010 The aim of this paper is to prove some results for equivalence of moduli of smoothnes in approximation theory , we used a"non uniform" modulus of smoothness and the weighted Ditzian –Totik moduli of smoothness in by spline functions ,several ...
Baghdad Science Journal
doaj +5 more sources
The Second Ditzian-Totik modulus revisited: refined estimates for positive linear operators
Journal of Numerical Analysis and Approximation Theory, 2003 Direct theorems for approximation by positive linear operators in terms of the second order Ditzian-Totik modulus of smoothness are proved. Special emphasis is on the magnitude of the absolute constants.
Heinz H. Gonska, Gancho T. Tachev
doaj +4 more sources
On the order of approximation by modified summation-integral-type operators based on two parameters
Demonstratio Mathematica, 2023 In this article, we the study generalized family of positive linear operators based on two parameters, which are a broad family of many well-known linear positive operators, e.g., Baskakov-Durrmeyer, Baskakov-Szász, Szász-Beta, Lupaş-Beta, Lupaş-Szász ...
Mohiuddine Syed Abdul +2 more
doaj +2 more sources
Bézier-Summation-Integral-Type Operators That Include Pólya–Eggenberger Distribution
Mathematics, 2022 We define the summation-integral-type operators involving the ideas of Pólya–Eggenberger distribution and Bézier basis functions, and study some of their basic approximation properties. In addition, by means of the Ditzian–Totik modulus of smoothness, we
Syed Abdul Mohiuddine +2 more
doaj +2 more sources
Approximation properties of λ-Kantorovich operators
Journal of Inequalities and Applications, 2018 In the present paper, we study a new type of Bernstein operators depending on the parameter λ∈[−1,1] $\lambda\in[-1,1]$. The Kantorovich modification of these sequences of linear positive operators will be considered.
Ana-Maria Acu +2 more
doaj +2 more sources
Modified Bernstein–Durrmeyer Type Operators
Mathematics, 2022 We constructed a summation–integral type operator based on the latest research in the linear positive operators area. We establish some approximation properties for this new operator.
Arun Kajla, Dan Miclǎuş
doaj +2 more sources
The Bézier variant of Kantorovich type λ-Bernstein operators
Journal of Inequalities and Applications, 2018 In this paper, we introduce the Bézier variant of Kantorovich type λ-Bernstein operators with parameter λ∈[−1,1] $\lambda\in[-1,1]$. We establish a global approximation theorem in terms of second order modulus of continuity and a direct approximation ...
Qing-Bo Cai
doaj +2 more sources
Convergence analysis of semi-exponential Post-Widder operators
Miskolc Mathematical NotesIn the present article, we provide a recurrence relation for the semi-exponential Post-Widder operators (1.1) and estimate the moments for these operators.
Sandeep Kumar, Naokant Deo
doaj +2 more sources
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2017 The purpose of the paper is to tind the degree of the approximation of a functions f be bounded , measurable and defined in interval [a,h]by Bernstein polynomial in LP space 1 $ p < oo by using Ditzian-Totik modulus of
N. M. Kasim
doaj +1 more source