Results 21 to 30 of about 5,758 (179)

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

Approximation by Kantorovich Type q-Bernstein-Stancu Operators [PDF]

Complex Analysis and Operator Theory, 2016
In this paper, we introduce a Kantorovich type generalization of q-Bernstein-Stancu operators. We study the convergence of the introduced operators and also obtain the rate of convergence by these operators in terms of the modulus of continuity. Further, we study local approximation property and Voronovskaja type theorem for the said operators. We show
Mursaleen, M., Ansari, Khursheed J., Khan, Asif   +2 more
openaire   +3 more sources

Rate of Convergence of a New Type Kantorovich Variant of Bleimann-Butzer-Hahn Operators

Journal of Inequalities and Applications, 2009
A new type Kantorovich variant of Bleimann-Butzer-Hahn operator Jn is introduced. Furthermore, the approximation properties of the operators Jn are studied.
Lingju Chen, Xiao-Ming Zeng
doaj   +2 more sources

Approximations of Antieigenvalue and Antieigenvalue-Type Quantities

International Journal of Mathematics and Mathematical Sciences, 2012
We will extend the definition of antieigenvalue of an operator to antieigenvalue-type quantities, in the first section of this paper, in such a way that the relations between antieigenvalue-type quantities and their corresponding Kantorovich-type ...
Morteza Seddighin
doaj   +1 more source

Approximation by Sequence of Operators Involving Analytic Functions

Mathematics, 2019
In this contribution, we define a new operator sequence which contains analytic functions. Using approximation techniques found by Korovkin, some results are derived.
Sezgin Sucu, Serhan Varma
doaj   +1 more source

Operators Obtained by Using Certain Generating Function for Approximation

Mathematics, 2022
This paper is concerned with the sequence of positive linear operators obtained by certain generating functions of polynomials and with investigation of its approximation properties in detail.
Serhan Varma, Sezgin Sucu
doaj   +1 more source

A Sequence of Kantorovich-Type Operators on Mobile Intervals

Constructive Mathematical Analysis, 2019
In this paper, we introduce and study a new sequence of positive linear operators, acting on both spaces of continuous functions as well as spaces of integrable functions on $[0, 1]$. We state some qualitative properties of this sequence and we prove that it is an approximation process both in $C([0, 1])$ and in $L^p([0, 1])$, also providing  some ...
Mirella Cappellettı Montano, Vita Leonessa   +1 more
openaire   +5 more sources

Operator iteration on the Young inequality

Journal of Inequalities and Applications, 2016
In this paper, we employ iteration on operator version of the famous Young inequality and obtain more arithmetic-geometric mean inequalities and the reverse versions for positive operators.
Xianhe Zhao, Le Li, Hongliang Zuo
doaj   +1 more source

Higher order Kantorovich-type Szász–Mirakjan operators

Journal of Inequalities and Applications, 2022
AbstractIn 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 Voronovskaja-type theorem.
Sabancigil, Pembe, Kara, Mustafa, Mahmudov, Nazim, I   +2 more
openaire   +3 more sources

General multivariate arctangent function activated neural network approximations

Journal of Numerical Analysis and Approximation Theory, 2022
Here we expose 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