Results 41 to 50 of about 51,346 (174)

Gradient flow approach to an exponential thin film equation: global existence and latent singularity

, 2018
In this work, we study a fourth order exponential equation, $u_t=\Delta e^{-\Delta u},$ derived from thin film growth on crystal surface in multiple space dimensions.
Gao, Yuan, Liu, Jian-Guo, Lu, Xin Yang
core   +1 more source

Extended Formulations in Mixed-integer Convex Programming

, 2016
We present a unifying framework for generating extended formulations for the polyhedral outer approximations used in algorithms for mixed-integer convex programming (MICP).
A Ahmadi, A Ben-Tal, H Hijazi, I Harjunkoski, K Abhishek, L Hien, M Grant, M Lubin, M Tawarmalani, MS Lobo, N Goldberg, O Günlük, OK Gupta, P Belotti, P Bonami, P Bonami, R Fletcher, RH Byrd, S Drewes, T Achterberg   +19 more
core   +1 more source

Jessen type functionals and exponential convexity

Journal of Mathematics and Computer Science, 2017
Summary: In this paper, we introduce the extension of Jessen functional and investigate logarithmic and exponential convexity. We also give mean value theorems of Cauchy and Lagrange type. Several families of functions are also presented related to our main results.
Naeem, Rishi, Anwar, Matloob
openaire   +2 more sources

Geometric Nature of the Turánian of Modified Bessel Function of the First Kind

Axioms
This work explores the geometric properties of the Turanian of the modified Bessel function of the first kind (TMBF). Using the properties of the digamma function, we establish conditions under which the normalized TMBF satisfies starlikeness, convexity,
Samanway Sarkar, Dimiter Prodanov, Anish Kumar, Sourav Das   +3 more
doaj   +1 more source

On Majorization for Matrices [PDF]

, 2013
In this paper, we give several results for majorized matrices by using continuous convex function and Green function. We obtain mean value theorems for majorized matrices and also give corresponding Cauchy means, as well as prove that these means are ...
Khan, M. Adil, Latif, Naveed, Pecaric, J., Peric, I.   +3 more
core  

The Legendre Transform in Non-additive Thermodynamics and Complexity

, 2017
We present an argument which purports to show that the use of the standard Legendre transform in non-additive Statistical Mechanics is not appropriate.
Kalogeropoulos, Nikolaos
core   +1 more source

Starlikeness and Convexity of Generalized Bessel-Maitland Function

Axioms
The main objective of this research is to examine a specific sufficiency criteria for the starlikeness and convexity of order δ, k-uniform starlikeness, k-uniform convexity, lemniscate starlikeness and convexity, exponential starlikeness and convexity ...
Muhammad Umar Nawaz, Daniel Breaz, Mohsan Raza, Luminiţa-Ioana Cotîrlă   +3 more
doaj   +1 more source

On the John–Nirenberg inequality

Journal of Inequalities and Applications, 2020
We present a version of the John–Nirenberg inequality for a sub-class of BMO by estimating the corresponding mean oscillating distribution function via dyadic decomposition.
Hee Chul Pak
doaj   +1 more source

A Variational Perspective on Accelerated Methods in Optimization

, 2016
Accelerated gradient methods play a central role in optimization, achieving optimal rates in many settings. While many generalizations and extensions of Nesterov's original acceleration method have been proposed, it is not yet clear what is the natural ...
Jordan, Michael I., Wibisono, Andre, Wilson, Ashia C.   +2 more
core   +1 more source

Peierls–Bogolyubov’s Inequality for Deformed Exponentials

Entropy, 2017
We study the convexity or concavity of certain trace functions for the deformed logarithmic and exponential functions, and in this way obtain new trace inequalities for deformed exponentials that may be considered as generalizations of Peierls–Bogolyubov’
Frank Hansen, Jin Liang, Guanghua Shi
doaj   +1 more source