Results 51 to 60 of about 312 (167)
A Grüss type operator inequality [PDF]
In 2001, Renaud obtaines a Grüss type operator inequality involving the usual trace functional. In this article, we give a refinement of that result, and we answer positively Renaud´s open problem.Fil: Bottazzi, Tamara Paula.
Bottazzi, Tamara Paula +2 more
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On Weighted Montgomery Identity for k Points and Its Associates on Time Scales
The purpose of this paper is to establish a weighted Montgomery identity for k points and then use this identity to prove a new weighted Ostrowski type inequality.
Eze R. Nwaeze, Ana M. Tameru
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Generalization of cyclic refinements of Jensen’s inequality by Fink’s identity
We generalize cyclic refinements of Jensen’s inequality from a convex function to a higher-order convex function by means of Lagrange–Green’s function and Fink’s identity.
Nasir Mehmood +3 more
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Properties and Applications of Symmetric Quantum Calculus
Symmetric derivatives and integrals are extensively studied to overcome the limitations of classical derivatives and integral operators. In the current investigation, we explore the quantum symmetric derivatives on finite intervals.
Miguel Vivas-Cortez +4 more
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Generalizations of Ostrowski type inequalities via Hermite polynomials
We present new generalizations of the weighted Montgomery identity constructed by using the Hermite interpolating polynomial. The obtained identities are used to establish new generalizations of weighted Ostrowski type inequalities for differentiable ...
Ljiljanka Kvesić +2 more
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A matrix formulation of Grüss inequality
A matrix trace inequality, which can be regarded as a non-commutative version of Grüss inequality is derived. The proof easily generalises to the more general case of bounded linear operators on a Hilbert space. Other inequalities such as the Kantorovich
P.F. Renaud, Renaud, P.F.
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A Perturbed Version of General Weighted Ostrowski Type Inequality and Applications
The main purpose of this paper is to derive some new generalizations of weighted Ostrowski type inequalities. The new established inequalities are carried out for a twice differentiable mapping in different L p spaces.
Waseem Ghazi Alshanti
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On Trapezoid Inequality Via a Grüss Type Result and Applications
In this paper, we point out a Grüss type inequality and apply it for special means (logarithmic mean, identric mean, etc...
McAndrew, Alasdair, Dragomir, Sever S
core
On applications of Caputo k-fractional derivatives
This research explores Caputo k-fractional integral inequalities for functions whose nth order derivatives are absolutely continuous and possess Grüss type variable bounds. Using Chebyshev inequality (Waheed et al. in IEEE Access 7:32137–32145, 2019) for
Ghulam Farid +5 more
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On Grüss inequalities within generalized K-fractional integrals
In this paper, we introduce the generalized K $\mathcal{K}$ -fractional integral in the frame of a new parameter K > 0 $\mathcal{K}>0$ . This paper offers some new important inequalities of Grüss type using the generalized K $\mathcal{K}$ -fractional ...
Saima Rashid +5 more
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