Results 131 to 140 of about 3,159 (156)

Linear inequalities and overlap bounds: a novel use of an operator inequality

Journal of Physics A: Mathematical and General, 1976
Bounds to overlap integrals are obtained by an operator inequality technique. The formulation involves a set of linear inequalities with several overlap integrals as unknowns. The 'solution' of this set of inequalities leads to bound expressions which complement those of Weinberger (1960) and of Cohen and Feldmann (1976).
Cohen, M., Leopold, J. G.
openaire   +2 more sources

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
openaire   +2 more sources

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
openaire   +1 more source

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
openaire   +1 more source

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 ...
openaire   +2 more sources

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 ...
openaire   +1 more source

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 $$Ax\,\leq\,x,\,x\,\varepsilon\,X$$ .
openaire   +1 more source

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 ...
openaire   +2 more sources

Linear operator inequalities for strongly stable weakly regular linear systems

Math. Control. Signals Syst., 2001
Weakly regular linear systems introduced by \textit{M. Weiss} and \textit{G. Weiss} [Math. Control Signals Syst. 10, No. 4, 287--330 (1997; Zbl 0884.49021)] form a large subclass of well-posed (in the sense of \textit{D. Salamon} [Trans. Am. Math. Soc.
openaire   +2 more sources

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 ...
openaire   +1 more source