Results 1 to 10 of about 671 (71)
Infant Mental Health Journal: Infancy and Early Childhood, Volume 43, Issue 3, Page 455-473, May 2022., 2022 Abstract Research points to the significant impact of maternal distress on the parent‐infant relationship and infant development. The Newborn Behavioral Observations (NBO) is a brief intervention supporting the infant, the parent and their relationship.
Susan Nicolson +2 more
wiley +1 more source
Strengthened inequalities for the mean width and the ℓ‐norm
Journal of the London Mathematical Society, Volume 104, Issue 1, Page 233-268, July 2021., 2021 Abstract Barthe proved that the regular simplex maximizes the mean width of convex bodies whose John ellipsoid (maximal volume ellipsoid contained in the body) is the Euclidean unit ball; or equivalently, the regular simplex maximizes the ℓ‐norm of convex bodies whose Löwner ellipsoid (minimal volume ellipsoid containing the body) is the Euclidean unit
Károly J. Böröczky +2 more
wiley +1 more source
Isoperimetric and Brunn-Minkowski inequalities for the (p, q)-mixed geominimal surface areas
Open Mathematics, 2022 Motivated by the celebrated work of Lutwak, Yang and Zhang [1] on (p,q)\left(p,q)-mixed volumes and that of Feng and He [2] on (p,q)\left(p,q)-mixed geominimal surface areas, we in the present paper establish and confirm the affine isoperimetric and ...
Zhang Juan, Wang Weidong, Zhao Peibiao
doaj +1 more source
The Lp dual Minkowski problem about 0 < p < 1 and q > 0
Open Mathematics, 2021 The (p,qp,q)-th dual curvature measures and the Lp{L}_{p} dual Minkowski problem were recently introduced by Lutwak, Yang, and Zhang. In this paper, we give a solution to the existence part of the Lp{L}_{p} dual Minkowski problem about ...
Lu Fangxia, Pu Zhaonian
doaj +1 more source
On the Volume of Sections of the Cube
Analysis and Geometry in Metric Spaces, 2021 We study the properties of the maximal volume k-dimensional sections of the n-dimensional cube [−1, 1]n. We obtain a first order necessary condition for a k-dimensional subspace to be a local maximizer of the volume of such sections, which we formulate ...
Ivanov Grigory, Tsiutsiurupa Igor
doaj +1 more source
General complex Lp projection bodies and complex Lp mixed projection bodies
Open Mathematics, 2022 Abardia and Bernig proposed the notions of complex projection body and complex mixed projection body. In this paper, we introduce the concepts of the general complex Lp{L}_{p} projection body and complex Lp{L}_{p} mixed projection body.
Cheng Manli, Yang Wenjing, Zhou Yanping
doaj +1 more source
An extension of the Hermite-Hadamard inequality for a power of a convex function
Open Mathematics, 2023 In this article, we obtain an extension of the classical Hermite-Hadamard inequality for convex functions (concave functions) extending it to the power functions [f(x)]n{[f\left(x)]}^{n}. Some related inequalities are also introduced.
Sayyari Yamin +3 more
doaj +1 more source
INEQUALITIES BETWEEN MIXED VOLUMES OF CONVEX BODIES: VOLUME BOUNDS FOR THE MINKOWSKI SUM
Mathematika, Volume 66, Issue 4, Page 1003-1027, October 2020., 2020 Abstract In the course of classifying generic sparse polynomial systems which are solvable in radicals, Esterov recently showed that the volume of the Minkowski sum P1+⋯+Pd of d‐dimensional lattice polytopes is bounded from above by a function of order O(m2d), where m is the mixed volume of the tuple (P1,⋯,Pd).
Gennadiy Averkov +2 more
wiley +1 more source
The linear polarization constant of R^n [PDF]
, 2005 The present work contributes to the determination of the n-th linear polarization constant cn(H) of an n-dimensional real Hilbert space H. We provide some new lower bounds on the value of supkyk=1 | hx1, yi · · · hxn, yi |, where x1, . . .
Matolcsi, Máté
core +1 more source
Some inequalities for star duality of the radial Blaschke-Minkowski homomorphisms
Open Mathematics, 2020 In 2006, Schuster introduced the radial Blaschke-Minkowski homomorphisms. In this article, associating with the star duality of star bodies and dual quermassintegrals, we establish Brunn-Minkowski inequalities and monotonic inequality for the radial ...
Zhao Xia, Wang Weidong, Lin Youjiang
doaj +1 more source