Results 51 to 60 of about 248 (176)

(λ, ψ)-Bernstein-Kantorovich operators

Demonstratio Mathematica
In this article, we introduce a new family of (λ,ψ)\left(\lambda ,\psi )-Bernstein-Kantorovich operators which depends on a parameter λ\lambda , derived from the basis functions of Bézier curves and an integrable function ψ\psi .
Aktuğlu Hüseyin, Kara Mustafa, Baytunç Erdem, Fidan Saner   +3 more
doaj   +1 more source

The combined Shepard operator of inverse quadratic and inverse multiquadric type

, 2022
Starting with the classical, the modified and the iterative Shepard methods, we construct some new Shepard type operators, using the inverse qua- dratic and the inverse multiquadric radial basis functions.
CĂTINAȘ, Teodora, MALINA, Andra
core   +1 more source

Fractional Korovkin Theory Based on Statistical Convergence [PDF]

, 2009
2000 Mathematics Subject Classification: 41A25, 41A36, 40G15.In this paper, we obtain some statistical Korovkin-type approximation theorems including fractional derivatives of functions.
Duman, Oktay, Anastassiou, George A.
core  

On the generalized Mellin integral operators

Demonstratio Mathematica
In this study, we give a modification of Mellin convolution-type operators. In this way, we obtain the rate of convergence with the modulus of the continuity of the mmth-order Mellin derivative of function ff, but without the derivative of the operator ...
Topuz Cem, Ozsarac Firat, Aral Ali
doaj   +1 more source

Direct and Converse Theorems for Generalized Bernstein-Type Operators [PDF]

, 2004
2000 Mathematics Subject Classification: 41A25, 41A27, 41A36.We establish direct and converse theorems for generalized parameter dependent Bernstein-type operators.
Finta, Zoltán
core  

Approximation properties of Kantorovich type q-Balázs-Szabados operators

Demonstratio Mathematica, 2019
In this paper, we introduce a new kind of q-Balázs-Szabados-Kantorovich operators called q-BSK operators. We give a weighted statistical approximation theorem and the rate of convergence of the q-BSK operators.
Özkan Esma Yıldız
doaj   +1 more source

On irregular functionals of SDEs and the Euler scheme

Stochastic differential equations, Approximation, Rate of convergence, Euler scheme, 60H10, 41A25, 26A45, 65C20, 65C30, C63, C65, G12,
Rainer Avikainen
core   +1 more source

Estimates for Durrmeyer-type exponential sampling series in Mellin-Orlicz spaces

Demonstratio Mathematica
This study examines Durrmeyer-type exponential sampling series to obtain a quantitative estimate by using the concept of the logarithmic modulus of smoothness defined with the help of a suitable modular functional on Mellin-Orlicz spaces.
Kangal Esma, Kantar Ülkü Dinlemez
doaj   +1 more source

Fractional Trigonometric Korovkin Theory in Statistical Sense [PDF]

, 2010
2000 Mathematics Subject Classification: 41A25, 41A36.In the present paper, we improve the classical trigonometric Korovkin theory by using the concept of statistical convergence from the summability theory and also by considering the fractional ...
Duman, Oktay, Anastassiou, George A.
core  

A strong converse inequality for the iterated Boolean sums of the Bernstein operator

, 2022
We establish a two-term strong converse estimate of the rate of approximation by the iterated Boolean sums of the Bernstein operator. The characterization is stated in terms of appropriate moduli of smoothness or K-functionals.
DRAGANOV, Borislav R.
core   +1 more source