Results 31 to 40 of about 5,758 (179)

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

Multiple general sigmoids based Banach space valued neural network multivariate approximation

Cubo, 2023
Here we present multivariate quantitative approximations of Banach space valued continuous multivariate functions on a box or \(\mathbb{R}^{N},\) \(N\in \mathbb{N}\), by the multivariate normalized, quasi-interpolation, Kantorovich type and quadrature ...
George A. Anastassiou
doaj   +1 more source

Approximation by Parametric Extension of Szász-Mirakjan-Kantorovich Operators Involving the Appell Polynomials

Journal of Function Spaces, 2020
The purpose of this article is to introduce a Kantorovich variant of Szász-Mirakjan operators by including the Dunkl analogue involving the Appell polynomials, namely, the Szász-Mirakjan-Jakimovski-Leviatan-type positive linear operators.
Md. Nasiruzzaman, A. F. Aljohani
doaj   +1 more source

Approximation of Integrable Functions by Modified Barbosu Operators [PDF]

International Journal of Mathematical, Engineering and Management Sciences
This paper presents an approximation method of integrable functions using a modified Barbosu operator, aimed at improving the rate of convergence in function approximation on the interval [0,1]. By introducing a suitable adjustment in the weight function,
Rahul Kumar, Asha Ram Gairola
doaj   +1 more source

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   +2 more sources

Markov Moment Problem and Sandwich Conditions on Bounded Linear Operators in Terms of Quadratic Forms

Mathematics, 2022
As is well-known, unlike the one-dimensional case, there exist nonnegative polynomials in several real variables that are not sums of squares. First, we briefly review a method of approximating any real-valued nonnegative continuous compactly supported ...
Octav Olteanu
doaj   +1 more source

Approximation by multivariate Kantorovich-Kotelnikov operators

, 2017
Approximation properties of multivariate Kantorovich-Kotelnikov type operators generated by different band-limited functions are studied. In particular, a wide class of functions with discontinuous Fourier transform is considered.
Kolomoitsev, Yu., Skopina, M.
core   +1 more source

Some properties of the Bézier–Kantorovich type operators

Journal of Approximation Theory, 2003
The author considers Kantorovich-Bézier type modifications of the discrete Feller operators in some classes of bounded measurable functions on an interval \(I\) (in particular, functions of bounded \(p\)th power variation on \(I\)). For such operators, estimates of the rate of pointwise convergence are given. The results generalize and extend those of \
openaire   +1 more source

Convergence Theorem for a Family of New Modified Halley’s Method in Banach Space

Journal of Applied Mathematics, 2014
We establish convergence theorems of Newton-Kantorovich type for a family of new modified Halley’s method in Banach space to solve nonlinear operator equations. We present the corresponding error estimate.
Rongfei Lin, Yueqing Zhao, Qingbiao Wu, Jueliang Hu   +3 more
doaj   +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