Results 31 to 40 of about 593,721 (128)

N-dimension for dynamic generalized inequalities of Hölder and Minkowski type on diamond alpha time scales

open access: yesAIMS Mathematics
Expanding on our research, this paper introduced novel generalizations of H ölder's and Minkowski's dynamic inequalities on diamond alpha time scales.
Elkhateeb S. Aly   +5 more
doaj   +1 more source

A generalization of the discrete version of Minkowski's fundamental theorem [PDF]

open access: yes, 2014
One of the most fruitful results from Minkowski's geometric viewpoint on number theory is his so called 1st Fundamental Theorem. It provides an optimal upper bound for the volume of an o-symmetric convex body whose only interior lattice point is the ...
Bernardo González Merino, M. Henze
semanticscholar   +1 more source

Refining the Hölder and Minkowski inequalities

open access: yesJournal of Inequalities and Applications, 2001
Refinements to the usual Hölder and Minkowski inequalities in the Lebegue spaces are proved. Both are inequalities for non-negative functions and both reduce to equality in .
Sinnamon G
doaj  

Diamond- Jensen's Inequality on Time Scales

open access: yesJournal of Inequalities and Applications, 2008
The theory and applications of dynamic derivatives on time scales have recently received considerable attention. The primary purpose of this paper is to give basic properties of diamond- derivatives which are a linear combination of delta and nabla ...
Sidi Ammi MoulayRchid   +2 more
doaj  

A discrete analogue for Minkowski’s second theorem on successive minima [PDF]

open access: yes, 2010
The main result of this paper is an inequality relating the lattice point enumerator of a 3-dimensional, 0-symmetric convex body and its successive minima.
R. Malikiosis
semanticscholar   +1 more source

Sharp Hardy's inequalities via conformable fractional integrals [PDF]

open access: yesSurveys in Mathematics and its Applications
The aim of this research is to present Hardy-type inequalities with a sharp constant that are related to the fractional conformable integral operator.
Noureddine Azzouz, Bouharket Benaissa
doaj  

Some improvements of Minkowski’s integral inequality on time scales

open access: yes, 2013
In the paper, we establish some improvements of Minkowski’s inequality on time scales via the delta integral, nabla integral and diamond-α dynamic integral, which is defined as a linear combination of the delta and nabla integrals.MSC:26D15, 26E70.
Guangsheng Chen
semanticscholar   +1 more source

An Optimization Problem Related to Minkowski’s Successive Minima

open access: yesDiscrete & Computational Geometry, 2010
The purpose of this paper is to establish an inequality connecting the lattice point enumerator of a 0-symmetric convex body with its successive minima.
R. Malikiosis
semanticscholar   +1 more source

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