Results 141 to 150 of about 223 (167)

Kantorovich‐type generalization of parametric Baskakov operators

Mathematical Methods in the Applied Sciences, 2019
In this manuscript, we define a Kantorovich generalization of the nonnegative parametric Baskakov operators. After that, the weighted uniform convergence of the generalized operators is proved. Also, we present Voronovskaja‐type asymptotic approximation theorem then establish weighted approximation properties for parametric Kantorovich operator ...
Hatice Gül İnce İlarslan, Hasan Erbay, Ali Aral   +2 more
openaire   +4 more sources

Weighted statistical approximation by kantorovich type q-Szász–Mirakjan operators

Applied Mathematics and Computation, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
DOĞRU, OGÜN, ÖRKCÜ, MEDİHA
openaire   +5 more sources

Approximation by Some Baskakov–Kantorovich Exponential-Type Operators

Bulletin of the Iranian Mathematical Society, 2021
The authors provide a point-wise convergence estimate and a Voronovskaya-type formula for modified Baskakov-Kantorovich operators based on \(\mu\)-integral and preserving exponential functions. For a given \(f\in L^{1}([0,+\infty))\), such operators are defined as follows \[ (\widetilde{K}_{n}f)(x):=a'_{n}(x) \,n \, e^{\mu x}\sum_{k=0}^{+\infty}v_{n+1 ...
Firat Ozsarac, Vijay Gupta, Ali Aral
openaire   +4 more sources

q-Bernstein-Schurer-Kantorovich type operators

Bollettino dell'Unione Matematica Italiana, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Agrawal, P. N., Goyal, Meenu, Kajla, Arun   +2 more
openaire   +2 more sources

Convergence analysis of modified Bernstein–Kantorovich type operators

Rendiconti del Circolo Matematico di Palermo Series 2, 2023
The authors introduce a Kantorovich variant of modified Bernstein Operators. Some auxiliary results are presented along with a Korovkin-type theorem, rate of convergence of the operators with the help of the modulus of continuity and Peetre's K-functionals.
Abhishek Senapati, Ajay Kumar, Tanmoy Som   +2 more
openaire   +2 more sources

Kantorovich‐Type Sampling Operators and Approximation

Mathematical Methods in the Applied Sciences
ABSTRACTIn this article, we investigate the convergence behavior of generalized sampling operators of Kantorovich‐type. By combining the generalized sampling operators and Kantorovich sampling operators, we obtain the new composition operators and estimate the order of approximation. Then, we establish quantitative estimates for convergence in terms of
Vijay Gupta, Vaibhav Sharma
openaire   +1 more source

Approximation properties of Szász‐Mirakyan‐Kantorovich type operators

Mathematical Methods in the Applied Sciences, 2018
In this paper, we introduce and study new type Szász‐Mirakyan‐Kantorovich operators using a technique different from classical one. This allow to analyze the mentioned operators in terms of exponential test functions instead of the usual polynomial type functions.
Ali Aral, Mohamed Lemine Limmam, Firat Ozsarac   +2 more
openaire   +4 more sources

Saturation of Kantorovich type operators

Periodica Mathematica Hungarica, 1985
The author proves that an integrable function f can be approximated by the Kantorovich type modification of the Szász-Mirakjan and Baskakov operators in the \(L^ 1\) metric in the optimal order \(\{n^{-1}\}\) if and only if \(\phi^ 2f'\) is of bounded variation where \(\phi (x)=x^{1/2}\) and \(\phi (x)=[x(1+x)]^{1/2},\) respectively.
openaire   +2 more sources

Asymptotic expansion of multivariate Kantorovich type operators

Numerical Algorithms, 2005
The paper is devoted to the asymptotic study of simultaneous approximation by Kantorovich type operators in the multivariate case.The authors define a Kantorovich type modification of a linear operator.Applying some some earlier results [\textit{López-Moreno} et al, Appl. Math. 287--307 (2002; Zbl 1049.41018)] and [J. Comput. Appl. Math. 150, No.
López-Moreno, Antonio-Jesús, Muñoz-Delgado, Francisco-Javier   +1 more
openaire   +2 more sources