Results 31 to 40 of about 23,441 (261)
On strongly generalized convex functions
The main objective of this article is to introduce the notion of strongly generalized convex functions which is called as strongly ?-convex functions. Some related integral inequalities of Hermite-Hadamard and Hermite-Hadamard-Fej?r type are also obtained. Special cases are also investigated.
Awan, Muhammad Uzair +3 more
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Structural Results on the HMLasso
HMLasso (Lasso with High Missing Rate) is a useful technique for sparse regression when a high-dimensional design matrix contains a large number of missing data. To solve HMLasso, an appropriate positive semidefinite symmetric matrix must be obtained. In
Shin-ya Matsushita, Hiromu Sasaki
doaj +1 more source
Strongly Convex Functions, Moreau Envelopes, and the Generic Nature of Convex Functions with Strong Minimizers [PDF]
In this work, using Moreau envelopes, we define a complete metric for the set of proper lower semicontinuous convex functions. Under this metric, the convergence of each sequence of convex functions is epi-convergence. We show that the set of strongly convex functions is dense but it is only of the first category.
Planiden, Chayne, Wang, Xianfu
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Weber’s problem on the Riemannian Manifolds: Some upper bounds for the minimun Weber’s function
In this paper we obtain some upper bounds for the minimum of the Weber function on a strongly convex ball in a Riemannian manifold with positive sectional curvature; where the minimum is reached on the weighted geometric median of “m” given points in the
Franco Rubio López +2 more
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Some new integral inequalities for strongly ( α , h − m ) $(\alpha ,h-m)$ -convex functions via generalized Riemann–Liouville fractional integrals are established.
Ghulam Farid +4 more
doaj +1 more source
Strongly hyperbolically convex functions
Let \(C(w_1,w_2,w_3)\) denote the circle in \(\widehat{\mathbb C}\) through \(w_1,w_2,w_3\), and let \(\widehat{w_1w_2}\) denote one of the two arcs between \(w_1,w_2\) belonging to \(C(w_1,w_2,w_3)\). The authors prove that a domain \(\Omega\) in the Riemann sphere with no antipodal points is spherically convex if and only if for any \(w_1,w_2,w_3\in \
Cruz, Lorena, Mejía, Diego
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The Fekete-Szego Problem for Strongly Close-to-Convex Functions [PDF]
Let K ( β )
Abdel-Gawad, H. R., Thomas, D. K.
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Strongly (g,h;α − m)-convex functions and the consequent Hermite–Hadamard-type inequalities
In this paper, we define a new class of strongly [Formula: see text]-convex functions. Some important implications are listed and related with already known classes.
Yonghong Liu +5 more
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Clinical Validation of Plasma p‐217tau in Neurological Diseases
ABSTRACT Objective Plasma p‐217tau is a minimally invasive but specific biomarker for diagnosing Alzheimer's disease (AD). However, its disease specificity remains to be clinically evaluated. We validated the reliability of the p‐217tau biomarker in 12 other neurological diseases.
Takeshi Kawarabayashi +13 more
wiley +1 more source
A Comprehensive Review on the Fejér-Type Inequality Pertaining to Fractional Integral Operators
A review of the results on the fractional Fejér-type inequalities, associated with different families of convexities and different kinds of fractional integrals, is presented.
Muhammad Tariq +2 more
doaj +1 more source

