Results 61 to 70 of about 312 (167)
A Refinement of the Grüss Inequality and Applications
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
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Generalized Steffensen’s inequality by Montgomery identity
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
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
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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
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
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.
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Integral inequalities via Raina’s fractional integrals operator with respect to a monotone function
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
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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
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
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
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