共查询到20条相似文献,搜索用时 15 毫秒
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Linsen Xie 《Journal of Approximation Theory》2010,162(6):1150-1159
In this paper we obtain a new strong type of Steckin inequality for the linear combinations of Bernstein–Kantorovich operators, which gives the optimal approximation rate. On the basis of this inequality, we further obtain the lower estimate for these operators. 相似文献
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Heiner Gonska Ioan Raşa Elena-Dorina Stănilă 《Mediterranean Journal of Mathematics》2014,11(2):561-576
We study the eigenstructure of a one-parameter class of operators ${U_{n}^{\varrho}}$ of Bernstein–Durrmeyer type that preserve linear functions and constitute a link between the so-called genuine Bernstein–Durrmeyer operators U n and the classical Bernstein operators B n . In particular, for ${\varrho\rightarrow\infty}$ (respectively, ${\varrho=1}$ ) we recapture results well-known in the literature, concerning the eigenstructure of B n (respectively, U n ). The last section is devoted to applications involving the iterates of ${U_{n}^{\varrho}}$ . 相似文献
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We study the existence of positive solutions to the operator equation Lx∈Nx, where L is a linear Fredholm mapping of index zero and N is a nonlinear multivalued operator. 相似文献
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Positivity - This paper is a natural continuation of Acar et al. (Mediterr J Math 14:6, 2017, https://doi.org/10.1007/s00009-016-0804-7 ) where Szász–Mirakyan operators preserving... 相似文献
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It is known that Szász–Durrmeyer operator is the limit, in an appropriate sense, of Bernstein–Durrmeyer operators. In this paper, we adopt a new technique that comes from the representation of operator semigroups to study the approximation issue as mentioned above. We provide some new results on approximating Szász–Durrmeyer operator by Bernstein–Durrmeyer operators. Our results improve the corresponding results of Adell and De La Cal (Comput Math Appl 30:1–14, 1995). 相似文献
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Iterative convergence theorems for maximal monotone operators and relatively nonexpansive mappings 总被引:2,自引:1,他引:1
In this paper, some iterative schemes for approximating the common element of the set of zero points of maximal monotone operators and the set of fixed points of relatively nonexpansive mappings in a real uniformly smooth and uniformly convex Banach space are proposed. Some strong convergence theorems are obtained, to extend the previous work. 相似文献
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The current article deals with the study of Baskakov–Szász–Mirakyan operators which reproduces constant and exponential functions. We discuss a uniform estimate and establish a quantitative result for the modified operators. 相似文献
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For the Jacobi-type Bernstein–Durrmeyer operator M
n,κ
on the simplex T
d
of ℝ
d
, we proved that for f∈L
p
(W
κ
;T
d
) with 1<p<∞,
K2,\varPhi(f,n-1)k,p £ c||f-Mn,kf||k,p £ c¢K2,\varPhi(f,n-1)k,p+c¢n-1||f||k,p,K_{2,\varPhi}\bigl(f,n^{-1}\bigr)_{\kappa,p}\leq c\|f-M_{n,\kappa}f\|_{\kappa,p}\leq c'K_{2,\varPhi}\bigl(f,n^{-1}\bigr)_{\kappa ,p}+c'n^{-1}\|f\|_{\kappa,p}, 相似文献
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George Tephnadze 《Acta Mathematica Hungarica》2014,142(1):244-259
As main result we prove that Fejér means of Walsh–Fourier series are uniformly bounded operators from H p to H p (0<p≦1/2). 相似文献
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In order to study Li–Yorke chaos by the scalar perturbation for a given bounded linear operator T on a Banach space X, we introduce the Li–Yorke chaos translation set of T, which is defined by \(S_{LY}(T)=\{\lambda \in {\mathbb {C}};\lambda +T \text { is Li--Yorke chaotic}\}\). In this paper, some operator classes are considered, such as normal operators, compact operators, shift operators, and so on. In particular, we show that the Li–Yorke chaos translation set of the Kalisch operator on the Hilbert space \(\mathcal {L}^2[0,2\pi ]\) is a simple point set \(\{0\}\). 相似文献
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