Results 31 to 40 of about 5,733,692 (290)
A note on generalized convex functions
In the article, we provide an example for a η-convex function defined on rectangle is not convex, prove that every η-convex function defined on rectangle is coordinate η-convex and its converse is not true in general, define the coordinate (η1,η2) $(\eta
Syed Zaheer Ullah +2 more
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New Generalization of Geodesic Convex Function
As a generalization of a geodesic function, this paper introduces the notion of the geodesic φE-convex function. Some properties of the φE-convex function and geodesic φE-convex function are established.
Ohud Bulayhan Almutairi, Wedad Saleh
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The Schur-convexity of the mean of a convex function
The authors establish the Schur-convexity at the upper and lower limits of the integral for the mean of a convex function. Furthermore, a new proof of the inequality \[ f\bigg(\frac{a+b}{2}\bigg)=H(0) \leq H(t) \leq H(1)= \frac1{b-a}\int^ b_ a f(x)\,dx \] obtained by \textit{S. S. Dragomir} [J. Math. Anal. Appl. 167, No. 1, 49--56 (1992; Zbl 0758.26014)
Huan-Nan Shi, Da-Mao Li, Chun Gu
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Unification of Generalized and p-Convexity
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
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Functions Like Convex Functions [PDF]
The paper deals with convex sets, functions satisfying the global convexity property, and positive linear functionals. Jensen's type inequalities can be obtained by using convex combinations with the common center. Following the idea of the common center, the functional forms of Jensen's inequality are considered in this paper.
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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
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Going viral − Virus‐targeting nanobodies for research, diagnostics and therapy
The increasing prevalence of viral diseases represents a major threat for global human health. Nanobodies, small binding fragments derived from camelid heavy‐chain antibodies, offer versatile tools for viral research, diagnostics, and antiviral therapy.
Domenic Ebert, Ulrich Rothbauer
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Infima of convex functions [PDF]
Let Γ ( X )
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Juvenile Huntington Disease With Cerebellar‐Predominant Atrophy Identified by Genome Sequencing
ABSTRACT Juvenile Huntington disease accounts for a small fraction of Huntington disease cases and is driven by the largest trinucleotide repeat expansions. We describe a 6‐year‐old boy with progressive global regression, generalized dystonia, and epilepsy, in whom serial imaging showed striking cerebellar‐predominant atrophy with an initially normal ...
Enrique Gonzalez Saez‐Diez +5 more
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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
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