Results 61 to 70 of about 312 (167)

A Refinement of the Grüss Inequality and Applications

open access: yes, 2002
A sharp refinement of the Grüss inequality in the general setting of measurable spaces and abstract Lebesgue integrals is proven.
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

Some Integral and Discrete Versions of the Grüss Inequality for Real and Complex Functions and Sequences

open access: yes, 2002
Some particular cases of a recent result in inner product spaces generalizing Grüss inequality that have potential for applications are ...
Dragomir, Sever S, Gomm, Ian
core  

Nabla discrete fractional Grüss type inequality

open access: yes, 2014
Properties of the discrete fractional calculus in the sense of a backward difference are introduced and developed. Here, we prove a more general version of the Grüss type inequality for the nabla fractional case.
Kenan Taş   +7 more
core   +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

A Discrete Grüss Type Inequality and Applications for the Moments of Random Variables and Guessing Mappings

open access: yes, 1999
A new discrete Grüss type inequality and applications for the moments of random variables and guessing mappings are ...
Dragomir, Sever S, Diamond, N. T
core  

An Ostrowski-Grüss Type Inequality on Time Scales

open access: yes, 2008
In this paper we derive a new inequality of Ostrowski-Grüss type on time scales and thus unify corresponding continuous and discrete versions.
Liu, Wenjun   +2 more
core   +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

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