Results 141 to 150 of about 5,938 (172)

q-Bernstein-Schurer-Kantorovich type operators

Bollettino dell'Unione Matematica Italiana, 2015
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Agrawal, P. N., Goyal, Meenu, Kajla, Arun   +2 more
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Bivariate q-Bernstein-Schurer-Kantorovich Operators

Results in Mathematics, 2014
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Agrawal, P. N., Finta, Zoltán, Kumar, A. Sathish   +2 more
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Kantorovich Operators of Order k

Numerical Functional Analysis and Optimization, 2011
This article is concerned with the k-th order Kantorovich modification of the classical Bernstein operators B n , namely, , where D k f is the derivative of order k and I k f is an antiderivative of order k of the function f. These operators are most useful in simultaneous approximation.
Gonska, Heiner, Heilmann, Margareta, Rasa, Ioan   +2 more
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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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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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Better approximation results by Bernstein–Kantorovich operators

Lobachevskii Journal of Mathematics, 2017
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Dhamija, M., Deo, N.
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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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Higher-Order Bernstein–Kantorovich Operators

Proceedings of the National Academy of Sciences, India Section A: Physical Sciences, 2023
null Anjali, Vijay Gupta
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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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