Results 281 to 290 of about 11,417 (311)
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On the \(h\)-Jensen's operator inequality
2022Summary: In this paper, we prove Jensen's operator inequality for an \(h\)-convex function and we point out the results for classes of continuous fields of operators. Also, some generalizations of Jensen's operator inequality and some properties of the \(h\)-convex function are given.
Hashemi Karouei, S. S. +3 more
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Variational inequalities with operator solutions
Journal of Global Optimization, 2002The authors consider the following operator variational inequality (OVI) problem: find \(f_0\in K\) such that \(\langle f-f_0,T(f_0)\rangle\notin C(f_0),\) for every \(f\in K,\) where \(X,Y\) are Hausdorff topological vector spaces, \((X,Y)^*\) denotes the space of linear and continuous operators from \(X\) into \(Y\), \(K\subset (X,Y)^*\) is a ...
A. Domokos, József J. Kolumbán
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2009
The purpose of this chapter is to present a series of the local and global estimates for some operators, including the homotopy operator T, the Laplace–Beltrami operator Δ = d d * + d * d, Green’s operator G, the gradient operator ∇, the Hardy–Littlewood maximal operator, and the differential operator, which act on the space of harmonic forms defined ...
Ravi P. Agarwal +2 more
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The purpose of this chapter is to present a series of the local and global estimates for some operators, including the homotopy operator T, the Laplace–Beltrami operator Δ = d d * + d * d, Green’s operator G, the gradient operator ∇, the Hardy–Littlewood maximal operator, and the differential operator, which act on the space of harmonic forms defined ...
Ravi P. Agarwal +2 more
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CLARKSON INEQUALITIES WITH SEVERAL OPERATORS
Bulletin of the London Mathematical Society, 2004The authors discuss four norm inequalities. These inequalities hold for the Schatten \(p\)-norm as well as symmetric or unitarily invariant norms, and are extensions of the classical inequalities of \textit{J. A. Clarkson} for the Lebesgue spaces \(L_{p}\) [Trans. Am. Math. Soc. 40, 396--414 (1936; Zbl 0015.35604)].
Bhatia, Rajendra, Kittaneh, Fuad
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On a Stability Inequality for Nonlinear Operators
SIAM Journal on Numerical Analysis, 1977In this paper we prove a stability inequality for nonlinear operators mapping a subset of a partially ordered vector space into a space of the same type. On the basis of this general setting, we study applications to nonlinear systems, to the stability of a wide class of finite difference methods for ordinary and partial differential equations, as well
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Operator Bohr-type inequalities
Mathematica SlovacaAbstract The classical Bohr inequality for scalars was extended to the non-commutative case of Hilbert space operators in the literature. The sole goal of this article is to discuss the operator Bohr inequality and present some of its new variants.
Sababheh, Mohammad +2 more
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Distributivity inequalities of monotonic operations
Fuzzy Sets and Systems, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Józef Drewniak, Ewa Rak
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Convexity Inequalities for Positive Operators
Positivity, 2006A (Jensen-type) pointwise convexity inequality of the form \(F (Tf) \leq T [F (f)]\) is proved for a convex function defined on a convex subset of some Banach space \(X\), where \(T\) is the \(X\)-valued extension of a positive operator on some function space.
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On inequalities for A-Berezin radius of operators
Afrika MatematikazbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mehmet Gürdal, Hamdullah Başaran
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Hemivariational inequalities with competing operators
Communications in Nonlinear Science and Numerical SimulationzbMATH Open Web Interface contents unavailable due to conflicting licenses.
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