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

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

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 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

GENERALIZED BERNSTEIN-KANTOROVICH OPERATORS OF BLENDING TYPE [PDF]

Facta Universitatis, Series: Mathematics and Informatics, 2019
In this note, we derive some approximation properties of the generalized Bernstein-Kantorovich type operators based on two nonnegative parameters considered  by A. Kajla [Appl. Math. Comput. 2018]. We establish Voronovskaja type asymptotic theorem for these operators.
openaire   +2 more sources

On the q-analogues for some Kantorovich type linear operators

Journal of Mathematical Inequalities, 2022
Summary: In this paper, we present some Kantorovich type positive linear operators and we introduce the new modification \(q\)-Baskakov-Kantorovich operators. We prove the convergence of the new operators using the Korovkin criterion and establish the rate of convergence involving the modulus of continuity.
Aral, Nazlım Deniz, Sevinç, Zeynep
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

Hyperbolic Tangent Like Relied Banach Space Valued Neural Network Multivariate Approximations

Annals of the West University of Timisoara: Mathematics and Computer Science, 2023
Here we examine the multivariate quantitative approximations of Banach space valued continuous multivariate functions on a box or ℝN , N ∈ ℕ, by the multivariate normalized, quasi-interpolation, Kantorovich type and quadrature type neural network ...
Anastassiou George A.
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