Results 61 to 70 of about 11,182,581 (267)

Non-existence of certain type of convex functions on a Riemannian manifold with a pole

, 2018
This paper is devoted to the study of non-existence of certain type of convex functions on a Riemannian manifold with a pole. To this end, we have developed the notion of odd and even function on a Riemannian manifold with a pole and proved the non ...
Ahmad, Izhar, Mondal, Chandan Kumar, Shaikh, Absos Ali   +2 more
core   +1 more source

On Bazilevič and convex functions [PDF]

Transactions of the American Mathematical Society, 1969
(2) zf'(z) = f(z)'g(z)lh(z) and (3) Reh(z) = Re(zf'(z)/f(z)'1-,g(z)") > 0 in IzI < 1. Thomas [12] called a function satisfying the condition (3) a Bazilevic function of type /. Let C(r) denote the curve which is the image of the circle Izi =r < 1 under the mapping w =f(z), and let L(r) denote the length of C(r). Let M(r) = maxj2j = r I f(z) 1.
openaire   +1 more source

Convex Matrix Functions [PDF]

Proceedings of the American Mathematical Society, 1974
The purpose of this paper is to prove convexity properties for the tensor product, determinant, and permanent of hermitian matrices.
openaire   +3 more sources

Cosine Similarity Measure According to a Convex Cost Function [PDF]

, 2014
In this paper, we describe a new vector similarity measure associated with a convex cost function. Given two vectors, we determine the surface normals of the convex function at the vectors.
Akbas, Cem Emre, Cetin, A. Enis, Gunay, Osman   +2 more
core  

A Note on Characterization of h-Convex Functions via Hermite-Hadamard Type Inequality

Проблемы анализа, 2019
A characterization of h-convex function via Hermite-Hadamard inequality related to the h-convex functions is investigated. In fact it is determined that under what conditions a function is h-convex, if it satisfies the h-convex version of Hermite ...
Delavar M. Rostamian, Dragomir S. S., De La Sen M.   +2 more
doaj   +1 more source

Generalization of some fractional versions of Hadamard inequalities via exponentially (α,h−m)-convex functions

AIMS Mathematics, 2021
In this paper we give Hadamard inequalities for exponentially (α,h−m)-convex functions using Riemann-Liouville fractional integrals for strictly increasing function.
Yu-Pei Lv, Ghulam Farid, Hafsa Yasmeen, Waqas Nazeer, Chahn Yong Jung   +4 more
doaj   +1 more source

A universal bound on the variations of bounded convex functions [PDF]

, 2015
Given a convex set $C$ in a real vector space $E$ and two points $x,y\in C$, we investivate which are the possible values for the variation $f(y)-f(x)$, where $f:C\longrightarrow [m,M]$ is a bounded convex function. We then rewrite the bounds in terms of
Kwon, Joon
core  

Convex Functions and Spacetime Geometry

, 2001
Convexity and convex functions play an important role in theoretical physics. To initiate a study of the possible uses of convex functions in General Relativity, we discuss the consequences of a spacetime $(M,g_{\mu \nu})$ or an initial data set $(\Sigma,
, Akihiro Ishibashi, Bartnik R, Brill D R, Eschenburg J-H, Gary W Gibbons, Gerhardt C, Gibbons G W, Gibbs J W, Gibbs J W, Isenberg J Rendall A D, Treibergs A, Udriste C   +12 more
core   +2 more sources

Relatively Smooth Convex Optimization by First-Order Methods, and Applications [PDF]

SIAM Journal on Optimization, 2016
The usual approach to developing and analyzing first-order methods for smooth convex optimization assumes that the gradient of the objective function is uniformly smooth with some Lipschitz constant $L$.
Haihao Lu, R. Freund, Y. Nesterov
semanticscholar   +1 more source

Successive Convex Approximation Algorithms for Sparse Signal Estimation with Nonconvex Regularizations

, 2018
In this paper, we propose a successive convex approximation framework for sparse optimization where the nonsmooth regularization function in the objective function is nonconvex and it can be written as the difference of two convex functions. The proposed
Chatzinotas, Symeon, Ottersten, Björn, Pesavento, Marius, Yang, Yang   +3 more
core   +1 more source