Results 1 to 10 of about 330 (171)

Approximation properties of λ-Kantorovich operators [PDF]

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, Nesibe Manav, Daniel Florin Sofonea   +2 more
doaj   +2 more sources

A Newton-Kantorovich-SOR type theorem

Open Mathematics, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Finta Béla
doaj   +3 more sources

Approximation by (p,q) $(p,q)$-Lupaş–Schurer–Kantorovich operators [PDF]

Journal of Inequalities and Applications, 2018
In the current paper, we examine the (p,q) $(p,q)$-analogue of Kantorovich type Lupaş–Schurer operators with the help of (p,q) $(p,q)$-Jackson integral.
Kadir Kanat, Melek Sofyalıoğlu
doaj   +2 more sources

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

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

To the generalization of the Newton-Kantorovich theorem.

Visnik Harkivsʹkogo Nacionalʹnogo Universitetu im. V.N. Karazina. Cepiâ Matematika, Prikladna Matematika i Mehanika, 2017
Constructive conditions for solvability are obtained, as well as an iterative scheme for finding solutions of the nonlinear equation that generalize the well-known Newton-Kantorovich theorem.
S. M. Chuiko
doaj   +3 more sources

Higher order Kantorovich-type Szász–Mirakjan operators

Journal of Inequalities and Applications, 2022
In this paper, we define new higher order Kantorovich-type Szász–Mirakjan operators, we give some approximation properties of these operators in terms of various moduli of continuity. We prove a local approximation theorem, a Korovkin-type theorem, and a
Pembe Sabancigil, Mustafa Kara, Nazim I. Mahmudov   +2 more
doaj   +1 more source

A new kind of variant of the Kantorovich type modification operators introduced by D. D. Stancu

Results in Applied Mathematics, 2021
In the present article we investigate a variant of the Kantorovich type modification defined by Kajla (2018) i.e. we introduce a function ζ(ϰ)in the operators defined by Kajla (2018) s.t.
Abhishek Kumar
doaj   +1 more source

Extensions of Kantorovich-type theorems for Newton’s method [PDF]

Applicationes Mathematicae, 2020
Summary: We extend the applicability of Newton's method, so we can approximate a locally unique solution of a nonlinear equation in a Banach space setting in cases not covered before. To achieve this, we find a more precise set containing the Newton iterates than in earlier works.
Argyros, Ioannis K., George, Santhosh, Sahu, Daya Ram   +2 more
openaire   +2 more sources

Approximation Theorems for Generalized Complex Kantorovich‐Type Operators [PDF]

Journal of Applied Mathematics, 2012
The order of simultaneous approximation and Voronovskaja‐type results with quantitative estimate for complex q‐Kantorovich polynomials (q > 0) attached to analytic functions on compact disks are obtained. In particular, it is proved that for functions analytic in {z ∈ ℂ : |z| < R}, R > q, the rate of approximation by the q‐Kantorovich ...
Mahmudov, N. I., Kara, M.
openaire   +4 more sources

Dunkl generalization of q-Szász-Mirakjan Kantorovich operators which preserve some test functions

Journal of Inequalities and Applications, 2016
In this paper we introduce q-Szász-Mirakjan-Kantorovich operators generated by a Dunkl generalization of the exponential function and we propose two different modifications of the q-Szász-Mirakjan-Kantorovich operators which preserve some test functions.
Mohammad Mursaleen, Shagufta Rahman, Abdullah Alotaibi   +2 more
doaj   +1 more source