Results 171 to 180 of about 1,058,862 (209)

Approximation by generalized Stancu-Kantorovich operators

Communications faculty of sciences university of ankara series a1 mathematics and statistics
In this paper, we consider a new generalization of Stancu-Kantorovich operators depending on two parameters. Firstly, we prove the approximation theorem in the space of real valued continuous functions on compact interval and then obtain some estimates ...
Selver Yeter, N. Çetin
semanticscholar   +1 more source

Neural network Kantorovich operators activated by smooth ramp functions

Mathematical methods in the applied sciences
In the present article, we introduce a Kantorovich variant of the neural network interpolation operators activated by smooth ramp functions proposed by Qian and Yu (2022).
P. Agrawal, Behar Baxhaku
semanticscholar   +1 more source

On Kantorovich-Stieltjes operators

Approximation Theory and its Applications, 1993
Summary: Let \(\nu\) be a finite Borel measure on \([0,1]\). The Kantorovich-Stieltjes polynomials are defined by \[ K_ n\nu= (n+1) \sum_{k=0}^ n \biggl( \int_{I_{k,n}}d\nu \biggr) N_{k,n} \qquad (n\in\mathbb{N}), \] where \(N_{k,n}(x)= {n \choose k} x^ k(1-x)^{n-k}\) (\(x\in[0,1]\), \(k=1,2,\dots,n\)) are the basic Bernstein polynomials and \(I_{k,n}:=
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On Lupaş-Kantorovich operators with Riemann-Liouville fractional integral

Filomat
In this note, we deal with Riemann-Liouville type Fractional Lupa?-Kantorovich operators of order ?, which introduces a new sequence of positive linear operators with fractional integration. Rate of convergence using modulus of continuity and approximate
Hardikkumar B. Parmar, Prashantkumar Patel   +1 more
semanticscholar   +1 more source

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
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Approximation by GBS associated properties of Szász-Mirakjan-Jakimovski-Leviatan-Kantorovich operators

Filomat
Our motive in the present article is to study the bivariate and GBS associated properties of the Sz?sz-Mirakjan-Jakimovski-Leviatan-Kantorovich operators.
M. Nasiruzzaman
semanticscholar   +1 more source

Higher order $$\alpha $$-Bernstein–Kantorovich operators

Journal of Applied Mathematics and Computing
Bernstein polynomials \(B_n(\xi,\kappa)=\sum_{i=0}^n\xi(\frac{i}{n})P_{n,i}(\kappa),\ P_{n,i}(\kappa)=\binom{n}{i}\kappa ^i(1-\kappa)^{n-i},\ \kappa \in[0,1]\) play a significant role in approximation theory. To improve the convergence properties of these polynomials, first \(P_{n,i}\) was replaced by depending on some parameter \(\alpha\) polynomials \
Yadav, Jyoti, Braha, Naim L., Kajla, Arun   +2 more
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Exponential Kantorovich-Stancu operators

Bulletin of the Transilvania University of Brasov. Series III: Mathematics and Computer Science
In this paper we will obtain some Bernstein-Kantorovich operators modified in Stancu sense which preserve exponential function eμx, where μ > 0. Concerning these operators we prove they verify Korovkin’s theorem conditions and also that they approximate functions from a weighted Lp space.
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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.
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Approximation properties of univariate and bivariate new class $$\lambda $$ λ -Bernstein–Kantorovich operators and its associated GBS operators

Computational and Applied Mathematics, 2023
R. Aslan
semanticscholar   +1 more source