Results 11 to 20 of about 5,733,692 (290)

Extension of Convex Function

open access: yesJournal of Convex Analysis, 2014
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. We also give the parallel results for the convexity defined by positive definite Hessian.
Yan, Min
openaire   +4 more sources

Bounds for the Čebyšev Functional of a Convex and a Bounded Function [PDF]

open access: yes, 2005
Upper and lower bounds for the Čebyšev functional of a convex and a bounded function are given.
Dragomir, Sever S, Barnett, Neil S
core   +5 more sources

Subordination by convex functions [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2006
For a fixed analytic function defined on the open unit disk and γ < 1, let Tg(γ) denote the class of all analytic functions satisfying . For functions in Tg(γ), a subordination result is derived involving the convolution with a normalized convex function. Our result includes as special cases several earlier works.
Rosihan M. Ali   +2 more
openaire   +4 more sources

On Some New Inequalities of Hermite-Hadamard-Féjer Type Involving Convex Functions [PDF]

open access: yes, 2005
In this paper, we establish some inequalities of Hermite-Hadamard- Fejér type for m-convex functions and s-convex ...
Hwang, Shiow-Ru   +2 more
core   +5 more sources

Radical Convex Functions [PDF]

open access: yesMediterranean Journal of Mathematics, 2021
to appear in Mediterr.
Mohammad Sababheh, Hamid Reza Moradi
openaire   +2 more sources

Root Function and Convex Function

open access: yesCommunications Faculty Of Science University of Ankara, 1974
Many authors [1], [2], [3], [4] considered the problems under different weak conditions which imply the continuity of the functions. In this section, we will consider convex functions on a commutative topological group with a root function.
Bilgezadeh, A., Pellong, C.
openaire   +5 more sources

Convex Defining Functions for Convex Domains [PDF]

open access: yesJournal of Geometric Analysis, 2010
21 ...
Herbig, Anne-Katrin, McNeal, Jeffery D.
openaire   +3 more sources

Schur-Convexity of Averages of Convex Functions [PDF]

open access: yesJournal of Inequalities and Applications, 2011
The object is to give an overview of the study of Schur-convexity of various means and functions and to contribute to the subject with some new results. First, Schur-convexity of the generalized integral and weighted integral quasi-arithmetic mean is studied.
Franjić Iva   +3 more
openaire   +4 more sources

A Note on Shapley's convex measure games [PDF]

open access: yes, 2002
L. S. Shapley, in his paper 'Cores of Convex Games', introduces Convex Measure Games, those that are induced by a convex function on R, acting over a measure on the coalitions.
Martínez de Albéniz, F. Javier   +1 more
core   +3 more sources

On φ-convexity of convex functions

open access: yesLinear Algebra and its Applications, 1998
The authors construct a non-trivial set \(\Phi\) of extended-real valued functions on \(R^n\) containing all affine functions, such that an extended-real valued function defined on \(R^n\) is convex if and only if it is \(\Phi\)-convex, i.e., it is the pointwise supremum of some subset of \(\Phi\). They also prove a new sandwich theorem.
Martínez-Legaz, Juan-Enrique   +1 more
openaire   +2 more sources

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