Results 31 to 40 of about 5,733,692 (290)

A note on generalized convex functions

open access: yesJournal of Inequalities and Applications, 2019
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
doaj   +1 more source

New Generalization of Geodesic Convex Function

open access: yesAxioms, 2023
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
doaj   +1 more source

The Schur-convexity of the mean of a convex function

open access: yesApplied Mathematics Letters, 2009
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
openaire   +2 more sources

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

Functions Like Convex Functions [PDF]

open access: yesJournal of Function Spaces, 2015
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.
openaire   +4 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

Going viral − Virus‐targeting nanobodies for research, diagnostics and therapy

open access: yesFEBS Letters, EarlyView.
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
wiley   +1 more source

Infima of convex functions [PDF]

open access: yesTransactions of the American Mathematical Society, 1989
Let Γ ( X )
openaire   +1 more source

Juvenile Huntington Disease With Cerebellar‐Predominant Atrophy Identified by Genome Sequencing

open access: yesAnnals of Clinical and Translational Neurology, EarlyView.
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
wiley   +1 more source

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

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