Results 41 to 50 of about 395 (64)
The Hadwiger theorem on convex functions, III: Steiner formulas and mixed Monge-Ampère measures. [PDF]
Calc Var Partial Differ Equ, 2022 Colesanti A, Ludwig M, Mussnig F.
europepmc +1 more source
On the Jensen functional and superterzaticity [PDF]
arXiv, 2016 In this note we describe some results concerning upper and lower bounds for the Jensen functional. We use several known and new results to shed light on the concepts of superterzatic functions.
arxiv
Fixed Point Theory and Applications, 2011 In this paper, the common solution problem (P1) of generalized equilibrium problems for a system of inverse-strongly monotone mappings and a system of bifunctions satisfying certain conditions, and the common fixed-point problem (P2) for a family of ...
Qu De-ning, Cheng Cao-zong
doaj
Exact upper bound on the sum of squared nearest-neighbor distances between points in a rectangle [PDF]
arXiv, 2019 An exact upper bound on the sum of squared nearest-neighbor distances between points in a rectangle is given.
arxiv
Extension in generalized Orlicz spaces [PDF]
Nonlinear Studies 26 (2019), no. 4, 861-868, 2019 We prove that a $\Phi$-function can be extended from a domain $\Omega$ to all of $\mathbb R^n$ while preserving crucial properties for harmonic analysis on the generalized Orlicz space $L^\Phi$.
arxiv
Boolean representation of manifolds and functions [PDF]
arXiv, 2001 It is shown that a smooth n dimensional manifold with a boundary in R^n admits a Boolean representation in terms of closed half spaces defined by the tangent hyperplanes at the points on its boundary. A similar result is established for smooth functions on closed convex domains in R^n.
arxiv
Convex-concave body in $\mathbb{R}P^3$ contains a line [PDF]
arXiv, 2002 We define a class of $L$-convex-concave subsets of $\mathbb{R}P^3$, where $L$ is a projective line in $\mathbb{R}P^3$. These are sets whose sections by any plane containing $L$ are convex and concavely depend on this plane. We prove a version of Arnold hypothesis for these sets, namely we prove that each such set contains a line.
arxiv
Investigation of the functions of n-3 very-long-chain PUFAs in skin using in vivo Atlantic salmon and in vitro human and fish skin models. [PDF]
Br J Nutr, 2023 Torrissen M +8 more
europepmc +1 more source
Operator monotone functions of several variables [PDF]
Mathematical Inequalities & Applications 6 (2003), 1-17, 2002 We propose a notion of operator monotonicity for functions of several variables, which extends the well known notion of operator monotonicity for functions of only one variable. The notion is chosen such that a fundamental relationship between operator convexity and operator monotonicity for functions of one variable is extended also to functions of ...
arxiv
On extensions of d.c. functions and convex functions [PDF]
arXiv, 2008 We show how our recent results on compositions of d.c. functions (and mappings) imply positive results on extensions of d.c. functions (and mappings). Examples answering two natural relevant questions are presented. Two further theorems, concerning extendability of continuous convex functions from a closed subspace of a normed linear space, complement ...
arxiv