Results 51 to 60 of about 1,126,227 (356)

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

Extension of Convex Function [PDF]

open access: yes, 2013
We study the local and global versions of the convexity, which is closely related to the problem of extending a convex function on a non-convex domain to a convex function on the convex hull of the domain and beyond the convex hull.
Yan, Min
core   +1 more source

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

Random Learning Leads to Faster Convergence in ‘Model‐Free’ ILC: With Application to MIMO Feedforward in Industrial Printing

open access: yesInternational Journal of Adaptive Control and Signal Processing, EarlyView.
The cost as a function of the number of experiments for a non‐symmetric 21×21$$ 21\times 21 $$ system. Four approaches are shown: the proposed stochastic conjugate gradient ILC (SCGILC) method (), deterministic conjugate gradient ILC (), stochastic gradient descent ILC () and deterministic gradient descent ILC ().
Leontine Aarnoudse, Tom Oomen
wiley   +1 more source

Integral inequalities of Hermite-Hadamard type for GA-F-convex functions

open access: yesAIMS Mathematics, 2021
In the paper, the authors define a notion of geometric-arithmetic-F-convex functions and, via an integral identity and other analytic techniques, establish several integral inequalities of the Hermite-Hadamard type for geometric-arithmetic-F-convex ...
Ye Shuang, Feng Qi
doaj   +1 more source

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

open access: yes, 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   +2 more
core  

The Siciak-Zahariuta extremal function as the envelope of disc functionals

open access: yes, 2005
We establish disc formulas for the Siciak-Zahariuta extremal function of an arbitrary open subset of complex affine space, generalizing Lempert's formula for the convex case. This function is also known as the pluricomplex Green function with logarithmic
Larusson, Finnur, Sigurdsson, Ragnar
core   +4 more sources

A new treatment of convex functions [PDF]

open access: yesarXiv, 2020
Convex functions have played a major role in the field of Mathematical inequalities. In this paper, we introduce a new concept related to convexity, which proves better estimates when the function is somehow more convex than another. In particular, we define what we called $g-$convexity as a generalization of $\log-$convexity.
arxiv  

Current and Future Cornea Chip Models for Advancing Ophthalmic Research and Therapeutics

open access: yesAdvanced Biology, EarlyView.
This review analyzes cornea chip technology as an innovative solution to corneal blindness and tissue scarcity. The examination encompasses recent developments in biomaterial design and fabrication methods replicating corneal architecture, highlighting applications in drug screening and disease modeling while addressing key challenges in mimicking ...
Minju Kim   +3 more
wiley   +1 more source

Length problems for Bazilevič functions

open access: yesDemonstratio Mathematica, 2019
Let C(r) denote the curve which is image of the circle |z| = r < 1 under the mapping f . Let L(r) be the length of C(r) and A(r) the area enclosed by the curve C(r).
Nunokawa Mamoru   +2 more
doaj   +1 more source

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