Results 51 to 60 of about 1,126,227 (356)
A Note on Characterization of h-Convex Functions via Hermite-Hadamard Type Inequality
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]
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
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
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
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]
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
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]
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
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
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