Results 271 to 280 of about 4,358 (301)

Strong converse inequality for linear combinations of Szász-Mirakjan operators

Journal of Approximation Theory, 2022
By means of the regularity of the differential operators generated by the Szász-Mirakjan operators, this paper further investigates the relation between the approximation rate of the linear combinations of the Sász-Mirakjan operators and the smoothness of the approximated function.
Linsen Xie, Shuli Wang
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Operator Interpolation and Systems of Linear Equations and Inequalities in Euclidean Spaces

Ukrainian Mathematical Journal, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Makarov, V. L., Khlobystov, V. V., Kashpur, O. F.   +2 more
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Some operator inequalities for positive linear maps

Linear and Multilinear Algebra, 2014
In this note, we generalize some operator inequalities due to Lin [J. Math. Anal. Appl. 2013;402:127–132] and [Studia Math. 2013;215:187–194] as follows: Let and be positive operators on a Hilbert space with Then for and every positive unital linear ...
Xiaohui Fu, Chuanjiang He
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Weighted Inequalities for Maximal Operators: Linearization, Localization and Factorization

American Journal of Mathematics, 1986
Let \({\mathcal Q}\) be the family of all finite cubes Q in \(R^ n\) with sides parallel to the axes and let \(M_{{\mathcal Q}}\) denote the Hardy-Littlewood maximal operator. According to a fundamental result of Muckenhoupt, \(M_{{\mathcal Q}}\) is a bounded operator on the Lebesgue-space \(L^ p(d\mu ...
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Linear Operators in Banach Lattices and WeightedL2 Inequalities

Mathematische Nachrichten, 1987
This paper is a valuable confirmation of the general property: ``The boundedness properties of a linear operator in various Banach function spaces depend only on the weighted \(L^ 2\) inequalities that it satisfies.'' Let X be a 2-convex Banach function space on (\(\Omega,\mu)\) and \(\tilde X=(X^ 2)'\) is a Banach function space dual to \(X^ 2=\{y\in ...
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Generalizations of Landau’s Inequality to Linear Operators

1972
In 1913 Edmund Landau [13] proved that if f is continuous together with its first and second order derivatives in the interval [0, 1], if ‖ f ‖ = 1, ‖ f″‖=4, then $$\left\| {f'} \right\| \mathbin{\lower.3ex\hbox ...
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A Problem Concerning an Inequality for Linear Operators

1983
Let X be an ordered topological vector space, and let A be a linear operator in X. Let us assume that the sequence Anx is convergent for every x ∈ X. Let K be the set of all solutions of the inequality $$Ax\,\leq\,x,\,x\,\varepsilon\,X$$ .
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On inequalities for powers of linear operators and for quadratic forms

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1981
SynopsisLetHbe a Hilbert space in which a symmetric operatorSwith a dense domainDsis given and letShave a finite deficiency index (r, s). This paper contains a necessary and sufficient condition for validity of the following inequalities of Kolmogorov typeand a method for calculating the best possible constantsCn,m(S).Moreover, let φ be a symmetric ...
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Mixed means inequalities for positive linear operators

Gazette - Australian Mathematical Society, 1996
In [3] we raised the question of mixed means for different kind of means. Here we use the concept of connections first introduced by Kubo and Ando to obtain some operator generalizations of mixed - mean inequalities presented in [3].
Mond, B., Pečarić, J. E.
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Some Inequalities for Positive Linear Maps of Operators

2017
Lin’in[3] teki çalışmasından ilhamalarak, Mond ve Pecaric’in [1] deki çalışmasında verilen bazı operatöreşitsizliklerinin genelleştirilmesi şu şekilde yapıldı: A, Hilbertuzayı üzerinde 0<m≤A≤M şartınısağlayan bir pozitif operatör olmak üzere, 2<p<∞ ve hernormalize edilmiş Φ pozitif lineerdönüşümü içinΦ^{p}(A²)≤((((M²+m²)^{p})/(4M ...
GÜMÜŞ, İbrahim Halil, FU, Xiaohui
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