[PDF] Top 20 A Grüss type inequality for vector valued functions in Hilbert C∗ modules
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A Grüss type inequality for vector valued functions in Hilbert C∗ modules
... It follows from the Schwarz inequality equation (.) that x is a semi-norm on X. Now let A be a ∗ -algebra, ϕ a positive linear functional on A, and let X be a semi-inner A-module. We can define a sesquilinear ... See full document
10
Grüss type inequalities in semi-inner product C∗-modules and applications
... Gr¨uss inequality (1) has been investigated, applied and generalized by many authors in different areas of mathematics, among others in inner product spaces [3], in the approximation of integral transforms [11] ... See full document
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Grüss' Type Inequalities for Functions of Selfadjoint Operators in Hilbert Spaces
... real valued continuous function on Sp (A), then f (t) ≥ 0 for any t ∈ Sp (A) implies that f (A) ≥ 0, ...real valued functions on Sp (A) then the following important property ... See full document
14
On Weighted Ostrowski Type Inequalities for Operators and Vector-Valued Functions
... trowski’s inequality for mappings of H¨ older type, Kyungpook ...Ostrowski inequality for mappings of H¨ older type and applications in numerical analysis, ... See full document
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Ostrowski and Ostrowski-Gruss type inequalities for vector-valued functions with k points via a parameter
... Ostrowski-Gr¨uss type inequality for vector- valued functions by using a sharp Gr¨uss inequality obtained by Barnett et al in ...real-valued functions to the case ... See full document
13
Some New Grüss' Type Inequalities for Functions of Selfadjoint Operators in Hilbert Spaces
... The first inequality has been obtained in [2] (see also [8, p. 44]) while the second result was established in [3] (see also [8, p. 90]). They provide refinements of the earlier result from [1] where only the ... See full document
16
Reverses of the Triangle Inequality in Banach Spaces
... triangle inequality and its continuous version for vector-valued integrals in Banach spaces are sur- ...in Hilbert spaces and for complex numbers and functions are pointed out as ... See full document
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Gap Functions and Error Bounds for Set Valued Vector Quasi Variational Inequality Problems
... studied vector variational inequality ( VVI ) in finite-dimensional Euclidean ...to vector optimization prob- ...for vector-valued functions, known as vector quasi ... See full document
15
Trace inequalities of Shisha-Mond type for operators in Hilbert spaces
... Dragomir, Reverse Jensen’s type trace inequalities for convex functions of selfadjoint operators in Hilbert spaces.. Fink, A treatise on Grüss’ inequality, Analytic and Geometric Inequal[r] ... See full document
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Some Grüss Type Inequalities for Vector-Valued Functions in Banach Spaces and Applications
... a Hilbert space over the real or complex number field and f, g : Ω → H Bochner measurable on Ω while ρ : Ω → [0, ∞) is Lebesgue integrable and R Ω ρ (x) dx = ... See full document
10
Reverses of the Cauchy-Bunyakovsky-Schwarz and Heisenberg Integral Inequalities for Vector-Valued Functions in Hilbert Spaces
... provided (3.2) or (3.1) holds. Here the constant 1 4 is also best possible. Using the above inequalities for vectors in inner product spaces, we are able to state the following theorem concerning reverses of the (CBS) ... See full document
18
Ostrowski's Inequality for Vector-Valued Functions and Applications
... Ostrowski type inequalities for vector-valued functions and show that the mid-point inequality is the best possible inequality in the ...Riemann type for the Bochner ... See full document
20
Variational inequalities on Hilbert $C^*$-modules
... satisfied for A-valued norms if and only if hE, Ei is commutative, where hE, Ei = clspan{hx, yi|x, y ∈ E} (see [6]). A-valued norm is very important because of its applications also it may motivate us to ... See full document
11
Generalised Trapezoid Type Inequalities for Vector-Valued Functions and Applications
... Banach space X has the Radon-Nikodym’s property if every X −valued, absolutely continuous function f defined on [a, b] is differentiable almost everywhere on [a, b]. For other details about the Radon-Nikodym ... See full document
15
Generalization of the Levinson inequality with applications to information theory
... Zipf ’s law is one of the central laws in data science, and it has been utilized in linguistics. George Zipf in 1932 found that we can tally how frequently each word shows up in the content. So on the off chance that we ... See full document
19
Generalization of the Levinson inequality with applications to information theory
... The Zipf law is one of the central laws in data science, and it has been utilized in lin- guistics. Zipf in 1932 found that we can tally how frequently each word shows up in the content. So on the off chance that we rank ... See full document
18
Some Grüss-type results via Pompeiu’s-like inequalities
... 11. Li, X.; Mohapatra, R.N.; Rodriguez, R.S.: Grüss-type inequalities. J. Math. Anal. Appl. 267(2), 434–443 (2002) 12. Lupa¸s, A.: The best constant in an integral inequality. Mathematica (Cluj, ... See full document
12
Nabla discrete fractional Grüss type inequality
... on Grüss type inequalities is extensive, and many extensions of the clas- sical inequality () have been intensively studied by many authors in the st century ...in Grüss type ... See full document
9
OPERATOR JENSEN’S INEQUALITY FOR OPERATOR SUPERQUADRATIC FUNCTIONS
... Remark 2. The result in Lemma 7 was proved by Mond & Peˇ cari´ c in [28] for all operator convex functions and all bounded selfdjoint operators whose spectra contained in I. Therefore, in case f is ... See full document
12
Discrete Grüss type inequality on fractional calculus
... by Grüss [], our purpose is to prove more general versions of Grüss type in- equalities for delta discrete fractional ...that Grüss type inequalities in continuous and discrete cases ... See full document
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