Results 61 to 70 of about 336 (171)

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

Approximation Theorems for Complex $$\alpha $$-Bernstein–Kantorovich Operators

Results in Mathematics
AbstractIn this paper, we introduce the complex form of$$\alpha $$α-Bernstein–Kantorovich operators. Respectively, upper quantitative estimates for the complex$$\alpha $$α-Bernstein–Kantorovich operator and its derivatives, Voronovskaya type result and the exact order of approximation of these operators are studied.
Kara, M., Mahmudov, N. I.
openaire   +2 more sources

Third order convergence theorem for a family of Newton like methods in Banach space

Journal of Numerical Analysis and Approximation Theory, 2014
In this paper, we propose a family of Newton-like methods in Banach space which includes some well known third-order methods as particular cases. We establish the Newton-Kantorovich type convergence theorem for a proposed family and get an error estimate.
Tugal Zhanlav, Dorjgotov Khongorzul
doaj   +2 more sources

On an approximation operator and its Lipschitz constant

Journal of Numerical Analysis and Approximation Theory, 2002
In this note we consider an approximation operator of Kantorovich type in which expression appears a basic sequence for a delta operator and a Sheffer sequence for the same delta operator.
Maria Crăciun
doaj   +2 more sources

Newton-Kantorovich and Smale Uniform Type Convergence Theorem for a Deformed Newton Method in Banach Spaces

Abstract and Applied Analysis, 2013
Newton-Kantorovich and Smale uniform type of convergence theorem of a deformed Newton method having the third-order convergence is established in a Banach space for solving nonlinear equations.
Rongfei Lin, Yueqing Zhao, Zdeněk Šmarda, Yasir Khan, Qingbiao Wu   +4 more
doaj   +1 more source

Approximation properties by shifted knots type of α-Bernstein–Kantorovich–Stancu operators

Journal of Inequalities and Applications
Through the real polynomials of the shifted knots, the α-Bernstein–Kantorovich operators are studied in their Stancu form, and the approximation properties are obtained.
Md. Nasiruzzaman, Mohammad Dilshad, Bader Mufadhi Eid Albalawi, Mohammad Rehan Ajmal   +3 more
doaj   +1 more source

On a theorem of L.V. Kantorovich concerning Newton's method

Journal of Computational and Applied Mathematics, 2003
The author proves the local and semilocal convergence of the Newton method assuming the Fréchet differentiability only at a point. A numerical example shows the potentials of the new theorem.
openaire   +1 more source

On a Kantorovich Variant of (p,q)-Szász-Mirakjan Operators

Journal of Function Spaces, 2016
We propose a Kantorovich variant of (p,q)-analogue of Szász-Mirakjan operators. We establish the moments of the operators with the help of a recurrence relation that we have derived and then prove the basic convergence theorem.
M. Mursaleen, Abdullah Alotaibi, Khursheed J. Ansari   +2 more
doaj   +1 more source

Fine Properties of Geodesics and Geodesic λ-Convexity for the Hellinger-Kantorovich Distance. [PDF]

Arch Ration Mech Anal, 2023
Liero M, Mielke A, Savaré G.
europepmc   +1 more source

Bivariate tensor product ( p , q ) $(p, q)$ -analogue of Kantorovich-type Bernstein-Stancu-Schurer operators

Journal of Inequalities and Applications, 2017
In this paper, we construct a bivariate tensor product generalization of Kantorovich-type Bernstein-Stancu-Schurer operators based on the concept of ( p , q ) $(p, q)$ -integers.
Qing-Bo Cai, Xiao-Wei Xu, Guorong Zhou
doaj   +1 more source