Results 1 to 10 of about 165,936,345 (87)

Towards the best constant in front of the Ditzian-Totik modulus of smoothness [PDF]

open access: yesJournal 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
exaly   +9 more sources

Approximation by Bézier Variant of Baskakov-Durrmeyer-Type Hybrid Operators

open access: yesJournal of Function Spaces, 2021
We give a Bézier variant of Baskakov-Durrmeyer-type hybrid operators in the present article. First, we obtain the rate of convergence by using Ditzian-Totik modulus of smoothness and also for a class of Lipschitz function.
Lahsen Aharouch   +2 more
doaj   +3 more sources

Modified Stancu operators based on inverse Polya Eggenberger distribution [PDF]

open access: yesJournal of Inequalities and Applications, 2017
In this paper, we construct a sequence of modified Stancu-Baskakov operators for a real valued function bounded on [ 0 , ∞ ) $[0,\infty)$ , based on a function τ ( x ) $\tau(x)$ .
Sheetal Deshwal   +2 more
doaj   +3 more sources

Approximation properties of λ-Kantorovich operators [PDF]

open access: yesJournal 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   +4 more sources

The Bézier variant of Kantorovich type λ-Bernstein operators [PDF]

open access: yesJournal 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   +3 more sources

Approximation degree of Durrmeyer–Bézier type operators [PDF]

open access: yesJournal of Inequalities and Applications, 2018
Recently, a mixed hybrid operator, generalizing the well-known Phillips operators and Baskakov–Szász type operators, was introduced. In this paper, we study Bézier variant of these new operators.
Purshottam N. Agrawal   +3 more
doaj   +2 more sources

Rate of convergence by Kantorovich-Szász type operators based on Brenke type polynomials [PDF]

open access: yesJournal of Inequalities and Applications, 2017
The present paper deals with the approximation properties of the univariate operators which are the generalization of the Kantorovich-Szász type operators involving Brenke type polynomials.
Tarul Garg   +2 more
doaj   +2 more sources

Szász-Durrmeyer operators involving Boas-Buck polynomials of blending type [PDF]

open access: yesJournal of Inequalities and Applications, 2017
The present paper introduces the Szász-Durrmeyer type operators based on Boas-Buck type polynomials which include Brenke type polynomials, Sheffer polynomials and Appell polynomials considered by Sucu et al. (Abstr. Appl. Anal. 2012:680340, 2012).
Manjari Sidharth   +2 more
doaj   +2 more sources

Gamma Generalization Operators Involving Analytic Functions

open access: yesMathematics, 2021
In the present paper, we give an operator with the help of a generalization of Boas–Buck type polynomials by means of Gamma function. We have approximation properties and moments.
Qing-Bo Cai   +2 more
doaj   +2 more sources

Direct Estimation for Approximation by Bernstein Polynomial by Using Ditzian-Totik and Average in L Ja,h11 p < oo Modulus of Smoothness

open access: yesIbn 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

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