Results 31 to 40 of about 630,172 (279)

Unification of Generalized and p-Convexity

open access: yesJournal of Function Spaces, 2020
In the present note, we will introduce the definition of generalized p convex function. We will investigate some properties of generalized p convex function.
Chahn Yong Jung   +5 more
doaj   +1 more source

On φ-convexity of convex functions

open access: yesLinear Algebra and its Applications, 1998
The authors construct a non-trivial set \(\Phi\) of extended-real valued functions on \(R^n\) containing all affine functions, such that an extended-real valued function defined on \(R^n\) is convex if and only if it is \(\Phi\)-convex, i.e., it is the pointwise supremum of some subset of \(\Phi\). They also prove a new sandwich theorem.
Martínez-Legaz, Juan-Enrique   +1 more
openaire   +2 more sources

Generalized Fractional Hadamard and Fejér–Hadamard Inequalities for Generalized Harmonically Convex Functions

open access: yesJournal of Mathematics, 2020
In this paper, we define a new function, namely, harmonically α,h−m-convex function, which unifies various kinds of harmonically convex functions.
Chahn Yong Jung   +4 more
doaj   +1 more source

Convex relaxations of componentwise convex functions

open access: yesComputers & Chemical Engineering, 2019
Published by Elsevier Science, Amsterdam [u.a.]
Najman, Jaromil   +2 more
openaire   +3 more sources

Image Fusion via Sparse Regularization with Non-Convex Penalties

open access: yes, 2020
The L1 norm regularized least squares method is often used for finding sparse approximate solutions and is widely used in 1-D signal restoration. Basis pursuit denoising (BPD) performs noise reduction in this way.
Achim, Alin   +3 more
core   +1 more source

Modulus of convexity for operator convex functions [PDF]

open access: yes, 2014
Given an operator convex function $f(x)$, we obtain an operator-valued lower bound for $cf(x) + (1-c)f(y) - f(cx + (1-c)y)$, $c \in [0,1]$. The lower bound is expressed in terms of the matrix Bregman divergence.
Kim, Isaac H.
core   +3 more sources

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

open access: yesПроблемы 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   +2 more
doaj   +1 more source

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

open access: yes, 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   +2 more
core   +1 more source

Analysis of Hamilton-Jacobi-Bellman equations arising in stochastic singular control [PDF]

open access: yes, 2011
We study the partial differential equation max{Lu - f, H(Du)}=0 where u is the unknown function, L is a second-order elliptic operator, f is a given smooth function and H is a convex function.
Hynd, Ryan
core   +1 more source

Infrared laser sampling of low volumes combined with shotgun lipidomics reveals lipid markers in palatine tonsil carcinoma

open access: yesMolecular Oncology, EarlyView.
Nanosecond infrared laser (NIRL) low‐volume sampling combined with shotgun lipidomics uncovers distinct lipidome alterations in oropharyngeal squamous cell carcinoma (OPSCC) of the palatine tonsil. Several lipid species consistently differentiate tumor from healthy tissue, highlighting their potential as diagnostic markers.
Leonard Kerkhoff   +11 more
wiley   +1 more source

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