Isoperimetric inequality
On containment measure and the mixed isoperimetric inequality
... mixed isoperimetric inequality and some Bonnesen-style mixed inequalities (Theo- rem , Theorem , Corollary , Corollary , Corollary , Theorem and Theorem ...Bonnesen isoperimetric ...
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Relative Isoperimetric Inequality for Minimal Submanifolds in a Riemannian Manifold
... The results in Section 2 are sharp but those require some extra assumptions on their boundary. And the results are concerned with the modified volume. In this section, by contrast, we obtain weak relative ...
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Bonnesen style Wulff isoperimetric inequality
... Wulff isoperimetric inequality is a natural extension of the classical isoperimetric inequality (Green and Osher in Asian ...Wulff isoperimetric inequalities and reverse Bonnesen-style ...
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Sharp and rigid isoperimetric inequalities in metric measure spaces with lower Ricci curvature bounds
... evy-Gromov isoperimetric inequality (together with the recent sharpening counterparts proved in the smooth setting by ...the isoperimetric profile function of (X, d,m) is bounded from below by the ...
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Isoperimetric inequalities for finite perimeter sets under lower Ricci curvature bounds
... the Isoperimetric inequality and Cheeger constant formulated in terms of the Minkowski content, obtained by the authors in previous papers [15, 16] in the framework of essentially non-branching metric ...
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Bonnesen style inequalities on surfaces of constant curvature
... Many inequalities of style (1.2), called Bonnesen-style inequalities, were found along with variations and generalizations in the past decades [2, 5, 6, 8, 11, 19, 29–34]. On the other hand, the classical ...
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On Isoperimetric Inequalities in Minkowski Spaces
... Brunn-Minkowski inequality see below involving parallel bodies is discussed, and it is shown how it yields the isoperimetric ...reverse isoperimetric inequalities are given in 11, ...
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Weighted quantitative isoperimetric inequalities in the Grushin space \({R}^{h+1}\) with density \(|x|^{p}\)
... be naturally extended to any dimension. Until today Pansu’s conjecture has not completely been solved. It has been only supported by many partial results, where further hypotheses involving regularity or symmetry of the ...
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Isoperimetric inequalities in surround system and space science
... In this section, we will establish a new isoperimetric inequality involving the λ-gravity. Corollary implies the following interesting result, which is significant in space science. Proposition ...
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Dual Orlicz Harmonic Mixed Quermassintegrals
... Abstract—In the paper, the notion of dual harmonic mixed quermassintegrals in the classical Brunn-Minkowski theory is extended to that of Orlicz dual harmonic mixed quermassin- tegrals in the Orlicz-Brunn-Minkowski ...
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Almost euclidean isoperimetric inequalities in spaces satisfying local Ricci curvature lower bounds
... evy-Gromov isoperimetric inequality we know that, for N -dimensional smooth manifolds having Ricci ≥ K, the isoperimetric profile function is bounded below by the one of the N -dimensional round ...
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Improvement of Aczél's Inequality and Popoviciu's Inequality
... (1.4) In this paper, we show a new sharp and generalized version of Popoviciu’s inequal- ity, which is a unified improvement of Acz´el’s inequality and Popoviciu’s inequality. In Section 4, the obtained ...
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A new look at classical inequalities involving Banach lattice norms
... If we compare inequalities (.) and (.), we can see that in the case < r, s < inequality (.) is better than inequality (.). Moreover, since in the case r, s > inequality (.) ...
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MESH FREE ESTIMATION OF THE STRUCTURE MODEL INDEX
... the isoperimetric shape factors pointed out above, other shape factors could be explored, ...the isoperimetric shape factors by the respective densities yields scale dependent ...
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A new proof of the Orlicz–Lorentz centroid inequality
... licz Brunn–Minkowski theory see, e.g., [1–14, 20, 22–26] and the references therein. Re- cently, Nguyen (see [17]) used the methods of [14, 15] to extend the Orlicz centroid bodies to the Orlicz–Lorentz centroid bodies ...
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A sharpened version of Hardy’s inequality for parameter p=5/4
... 8. Huang, QL: An extension of a strengthened inequality. J. Guangdong Educ. Inst. 21(2), 17-20 (2001) 9. Yang, BC: On a strengthened version of Hardys inequality. J. Guangdong Educ. Inst. 25(5), 5-8 (2005) ...
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On Carleson’s inequality
... Polya–Knopp inequality is a limit version of Hardy’s in- equality and Carleson’s inequality verifies Polya–Knopp inequality as a special case, an inequality verifying Hardy’s inequality ...
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Some properties of the functional equation ϕ(x)=f(x)+∫0λxg(x,y,ϕ(y))dy
... Look for a solution of the recurrence inequality 4.3b of the form s.. Substitution of the inequality 4.5 in the inequality 4.3b.[r] ...
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On an isoperimetric isodiametric inequality
... 3A. The case of Cartan–Hadamard manifolds. Recall that a Cartan–Hadamard n-manifold is a com- plete simply connected Riemannian n-dimensional manifold with nonpositive sectional curvature. By a classical theorem of ...
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Some inequalities based on a general quantum difference operator
... Lyapunov inequality has many applications in the theory of differential and difference equations. These applications include bounds for eigenvalues, stability criteria for peri- odic differential equations, and ...
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