Results 51 to 60 of about 891 (135)

Some nonlinear delay integral inequalities on time scales arising in the theory of dynamics equations

open access: yesJournal of Inequalities and Applications, 2011
In this paper, some new nonlinear delay integral inequalities on time scales are established, which provide a handy tool in the research of boundedness of unknown functions in delay dynamic equations on time scales.
Zhang Yaoming   +4 more
doaj  

Dilation Type Inequalities for Strongly-Convex Sets in Weighted Riemannian Manifolds

open access: yesAnalysis and Geometry in Metric Spaces, 2021
In this paper, we consider a dilation type inequality on a weighted Riemannian manifold, which is classically known as Borell’s lemma in high-dimensional convex geometry.
Tsuji Hiroshi
doaj   +1 more source

Peano-like bounds for some Newton-Cotes formulae [PDF]

open access: yesarXiv, 2003
An error analysis for some Newton-Cotes quadrature formulae is presented. Peano-like error bounds are obtained. They are generally, but not always, better than the usual Peano bounds.
arxiv  

Refinements of quantum Hermite-Hadamard-type inequalities

open access: yesOpen Mathematics, 2021
In this paper, we first obtain two new quantum Hermite-Hadamard-type inequalities for newly defined quantum integral. Then we establish several refinements of quantum Hermite-Hadamard inequalities.
Budak Hüseyin   +3 more
doaj   +1 more source

The Median Principle for Inequalities and Applications [PDF]

open access: yesarXiv, 2003
The median principle is applied for different integral inequalities of Gruss and Ostrowski type.
arxiv  

Some new parameterized inequalities for co-ordinated convex functions involving generalized fractional integrals

open access: yesOpen Mathematics, 2021
In this study, we first obtain a new identity for generalized fractional integrals which contains some parameters. Then by this equality, we establish some new parameterized inequalities for co-ordinated convex functions involving generalized fractional ...
Kalsoom Humaira   +3 more
doaj   +1 more source

Error inequalities for an optimal 3-point quadrature formula of closed type [PDF]

open access: yesarXiv, 2003
An optimal 3-point quadrature formula of closed type is derived. Various error inequalities are established. Applications in numerical integration are also given.
arxiv  

On the Chebyshev's Inequality for Weighted Means [PDF]

open access: yesarXiv, 2003
Some new sufficient conditions for the weighted Chebyshev's inequality for real numbers to hold are provided.
arxiv  

Hardy's Inequality from a Logarithmic Caccioppoli Estimate [PDF]

open access: yesarXiv, 2009
We give a simple proof of Hardy's inequality, based on the logarithmic Caccioppoli estimate for p-superharmonic functions in several variables.
arxiv  

On some inequalities for m- and (alpha,m)-logarithmically convex functions [PDF]

open access: yesarXiv, 2012
In this paper, we establish some new integral inequalities for for m- and (alpha,m)-logarithmically convex functions.
arxiv  

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