Results 1 to 10 of about 84,906 (335)
In this article, we investigate a one-dimensional thermoelastic laminated beam system with viscoelastic dissipation on the effective rotation angle and through heat conduction in the interfacial slip equations.
Soh E. Mukiawa+2 more
doaj +1 more source
A characterization of convex φ-functions [PDF]
The properties of four elements \((LPFE)\) and \((UPFE)\), introduced by Isac and Persson, have been recently examined in Hilbert spaces, \(L^p\)-spaces and modular spaces. In this paper we prove a new theorem showing that a modular of form \(\rho_{\Phi}(
Bartosz Micherda
doaj +1 more source
Error Function and Certain Subclasses of Analytic Univalent Functions [PDF]
In the present investigation, our main aim is to introduce a certain subclass of analytic univalent functions related to the Error function. We discuss the implications of our main results, including the coefficient bound, extreme points, weighted mean ...
Seyed Hadi Sayedain Boroujeni+1 more
doaj +1 more source
On interval number in cycle convexity [PDF]
Recently, Araujo et al. [Manuscript in preparation, 2017] introduced the notion of Cycle Convexity of graphs. In their seminal work, they studied the graph convexity parameter called hull number for this new graph convexity they proposed, and they ...
Julio Araujo+3 more
doaj +1 more source
On Non-Convexity of the Nonclassicality Measure via Operator Ordering Sensitivity
In quantum optics, nonclassicality in the sense of Glauber-Sudarshan is a valuable resource related to the quantum aspect of photons. A desirable and intuitive requirement for a consistent measure of nonclassicality is convexity: Classical mixing should ...
Shuangshuang Fu+4 more
doaj +1 more source
We investigate and prove a new lemma for twice differentiable functions with the fractional integral operator AB. Based on this newly developed lemma, we derive some new results about this identity.
Maimoona Karim+4 more
doaj +1 more source
Robust Least-SquareLocalization Based on Relative Angular Matrix in Wireless Sensor Networks
Accurate position information plays an important role in wireless sensor networks (WSN), and cooperative positioning based on cooperation among agents is a promising methodology of providing such information.
Yuyang Tian+4 more
doaj +1 more source
An extension of the proximal point algorithm beyond convexity [PDF]
We introduce and investigate a new generalized convexity notion for functions called prox-convexity. The proximity operator of such a function is single-valued and firmly nonexpansive. We provide examples of (strongly) quasiconvex, weakly convex, and DC (difference of convex) functions that are prox-convex, however none of these classes fully contains ...
arxiv +1 more source
Some trace inequalities for exponential and logarithmic functions [PDF]
Consider a function F(X,Y ) of pairs of positive matrices with values in the positive matrices such that whenever X and Y commute F(X,Y ) = XpYq. Our first main result gives conditions on F such that Tr[X log(F(Z,Y ))] ≤Tr[X(p log X + q log Y )] for all ...
Eric A. Carlen, Elliott H. Lieb
doaj +1 more source
Plane Section Curves on Surfaces of NCP Functions
The goal of this paper is to investigate the curves intersected by a vertical plane with the surfaces based on certain NCP functions. The convexity and differentiability of these curves are studied as well.
Shun-Wei Li+2 more
doaj +1 more source