Results 51 to 60 of about 312 (167)

A Grüss type operator inequality [PDF]

open access: yes, 2016
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
core   +1 more source

On Weighted Montgomery Identity for k Points and Its Associates on Time Scales

open access: yesAbstract and Applied Analysis, 2017
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
doaj   +1 more source

Generalization of cyclic refinements of Jensen’s inequality by Fink’s identity

open access: yesJournal of Inequalities and Applications, 2018
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
doaj   +1 more source

Properties and Applications of Symmetric Quantum Calculus

open access: yesFractal and Fractional
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
doaj   +1 more source

Generalizations of Ostrowski type inequalities via Hermite polynomials

open access: yesJournal of Inequalities and Applications, 2020
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
doaj   +1 more source

A matrix formulation of Grüss inequality

open access: yes, 2001
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.
core   +1 more source

A Perturbed Version of General Weighted Ostrowski Type Inequality and Applications

open access: yesInternational Journal of Analysis and Applications, 2018
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
doaj   +2 more sources

On Trapezoid Inequality Via a Grüss Type Result and Applications

open access: yes, 1999
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

open access: yesAdvances in Difference Equations, 2019
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
doaj   +1 more source

On Grüss inequalities within generalized K-fractional integrals

open access: yesAdvances in Difference Equations, 2020
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
doaj   +1 more source

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