Results 81 to 90 of about 643,553 (189)

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

Bounding the Čebyšev Functional for the Riemann-Stieltjes Integral via a Beesack Inequality and Applications [PDF]

open access: yes, 2008
Lower and upper bounds of the Čebyšev functional for the Riemann- Stieltjes integral are given. Applications for the three point quadrature rules of functions that are n-time differentiable are also ...
Cerone, Pietro, Dragomir, Sever S
core  

Generalized Steffensen’s inequality by Montgomery identity

open access: yesJournal of Inequalities and Applications, 2019
By using generalized Montgomery identity and Green functions we proved several identities which assist in developing connections with Steffensen’s inequality.
Saad Ihsan Butt   +3 more
doaj   +1 more source

On some inequalities relative to the Pompeiu–Chebyshev functional

open access: yesJournal of Inequalities and Applications, 2020
In this paper we study the utility of the functional Pompeiu–Chebyshev in some inequalities. Some results obtained by Alomari will be generalized regarding inequalities with Pompeiu–Chebyshev type functionals, in which linear and positive functionals ...
Daniel Ianoşi, Adonia-Augustina Opriş
doaj   +1 more source

Steffensen-Grüss inequality

open access: yesJournal of Mathematical Inequalities, 2021
Saad Ihsan Butt   +2 more
semanticscholar   +1 more source

Harmonic Multivariate Ostrowski and Grüss Type Inequalities for Several Functions

open access: yesDemonstratio Mathematica, 2015
Here we derive very general multivariate Ostrowski and Grüss type inequalities for several functions by involving harmonic polynomials. Estimates are with respect to all basic norms.
Anastassiou George A.
doaj   +1 more source

Integral inequalities via Raina’s fractional integrals operator with respect to a monotone function

open access: yesAdvances in Difference Equations, 2020
We establish certain new fractional integral inequalities involving the Raina function for monotonicity of functions that are used with some traditional and forthright inequalities.
Shu-Bo Chen   +5 more
doaj   +1 more source

Revisiting the Grüss inequality

open access: yesOperators and Matrices, 2021
H. Moradi   +3 more
semanticscholar   +1 more source

Grüss type integral inequalities for generalized Riemann-Liouville k-fractional integrals

open access: yesJournal of Inequalities and Applications, 2016
Integral inequalities are considered to be important as they have many applications described by a number of researchers. Moreover, the theory of fractional calculus is used in solving differential, integral, and integro-differential equations and also ...
Shahid Mubeen, Sana Iqbal
doaj   +1 more source

Some integral inequalities for operator monotonic functions on Hilbert spaces

open access: yesSpecial Matrices, 2020
Let f be an operator monotonic function on I and A, B∈I (H), the class of all selfadjoint operators with spectra in I. Assume that p : [0.1], →ℝ is non-decreasing on [0, 1].
Dragomir Silvestru Sever
doaj   +1 more source

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