Results 261 to 270 of about 24,937 (297)

Narrative-affect discrepancy as a regulated degree of freedom in 351,734 relationship narratives. [PDF]

PLoS One
Kim RS.
europepmc   +1 more source

On strongly $h$-convex functions

Annals of Functional Analysis, 2011
‎We introduce the notion of strongly $h$-convex functions (defined on‎ ‎a normed space) and present some properties and representations of‎ ‎such functions‎. ‎We obtain a characterization of inner product spaces‎ ‎involving the notion of strongly $h$-convex functions‎. ‎Finally‎, ‎a‎ ‎Hermite-Hadamard-type inequality for strongly $h$-convex functions‎ ‎
Kazimierz Nikodem
exaly   +3 more sources

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Converse Ohlin’s lemma for convex and strongly convex functions

Journal of Applied Analysis, 2022
Abstract Theorems which are converse to the Ohlin lemma for convex and strongly convex functions are proved. New proofs of probabilistic characterizations of convex and strongly convex functions are presented.
Mirosław Adamek, Kazimierz Nikodem
openaire   +1 more source

Canonical Models on Strongly Convex Domains via the Squeezing Function [PDF]

Journal of Geometric Analysis, 2020
We prove that if a holomorphic self-map $fcolon Omega o Omega$ of a bounded strongly convex domain $Omegasubset mathbb C^q$ with smooth boundary is hyperbolic then it admits a natural semi-conjugacy with a hyperbolic automorphism of a possibly lower ...
Amedeo Altavilla, Leandro Arosio, Lorenzo Guerini   +2 more
exaly   +2 more sources

Remarks on strongly convex functions

Aequationes Mathematicae, 2010
Let \(I\subseteq \mathbb{R}\) be an interval and \(c\) be a positive number. A function \(f:I\rightarrow \mathbb{R}\) is called strongly convex with modulus \( c\) if \[ f(tx+(1-t)y)\leq tf(x)+(1-t)f(y)-ct(1-t)(x-y)^{2}, \] for all \(x,y\in I\) and \(t\in [0,1]\).
Nelson Merentes, Kazimierz Nikodem, Nikodem Kazimierz   +2 more
exaly   +3 more sources

iPiasco: Inertial Proximal Algorithm for Strongly Convex Optimization

Journal of Mathematical Imaging and Vision, 2015
In this paper, we present a forward–backward splitting algorithm with additional inertial term for solving a strongly convex optimization prob-lem of a certain type. The strongly convex objective function is assumed to be a sum of a non-smooth convex and
Peter Ochs, Thomas Brox, Thomas Pock
exaly   +2 more sources

Strongly E-convex sets and strongly E-convex functions

Journal of Interdisciplinary Mathematics, 2005
Abstract A class of E-convex sets and a class of E-convex functions are extended to the so called strongly E-convex sets and strongly E-convex functions. In this extension we take into account the images of two points x and y under an E : Rn → Rn operator besides the two points themselves.
E. A. Youness, Tarek Emam
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INVARIANCE OF THE COEFFICIENTS OF STRONGLY CONVEX FUNCTIONS

Bulletin of the Australian Mathematical Society, 2016
Let the function $f$ be analytic in $\mathbb{D}=\{z:|z|<1\}$ and given by $f(z)=z+\sum _{n=2}^{\infty }a_{n}z^{n}$. For $0<\unicode[STIX]{x1D6FD}\leq 1$, denote by ${\mathcal{C}}(\unicode[STIX]{x1D6FD})$ the class of strongly convex functions.
Thomas, D. K., Verma, Sarika
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The Order of Strongly Starlikeness of the Generalized α-Convex Functions [PDF]

Symmetry, 2019
We consider the order of the strongly-starlikeness of the generalized α -convex functions. Some sufficient conditions for functions to be p-valently strongly-starlike are given.
Rekha Srivastava, Jin-Lin Liu, Srivastava Rekha   +2 more
exaly   +3 more sources