Results 1 to 10 of about 11,086,842 (321)

Hermite-Hadamard type inequalities for F-convex function involving fractional integrals. [PDF]

open access: yesJ Inequal Appl, 2018
In this study, the family F and F-convex function are given with its properties. In view of this, we establish some new inequalities of Hermite–Hadamard type for differentiable function.
Mohammed PO, Mohammed PO, Sarikaya MZ.
europepmc   +2 more sources

Convex Functions on Convex Polytopes [PDF]

open access: bronzeProceedings of the American Mathematical Society, 1968
The behavior of convex functions is of interest in connection with a wide variety of optimization problems. It is shown here that this behavior is especially simple, in certain respects, when the domain is a polytope or belongs to certain classes of sets closely related to polytopes; moreover, the polytopes and related classes are actually ...
David Gale   +2 more
openalex   +3 more sources

Convex functions [PDF]

open access: goldBulletin of the American Mathematical Society, 1948
E. F. Beckenbach
openalex   +3 more sources

On an Inequality for Convex Functions [PDF]

open access: bronzeProceedings of the American Mathematical Society, 1956
H. D. Brunk
openalex   +3 more sources

Generalized fractal Jensen and Jensen–Mercer inequalities for harmonic convex function with applications

open access: yesJournal of Inequalities and Applications, 2022
In this paper, we present a generalized Jensen-type inequality for generalized harmonically convex function on the fractal sets, and a generalized Jensen–Mercer inequality involving local fractional integrals is obtained.
S. Butt   +3 more
semanticscholar   +1 more source

The Properties of Harmonically cr-h-Convex Function and Its Applications

open access: yesMathematics, 2022
In this paper, the definition of the harmonically cr-h-convex function is given, and its important properties are discussed. Jensen type inequality, Hermite–Hadamard type inequalities and Fejér type inequalities for harmonically cr-h-convex functions are
Wei Liu   +3 more
semanticscholar   +1 more source

Functions with convex means [PDF]

open access: bronzePacific Journal of Mathematics, 1964
T. K. Boehme, A. M. Bruckner
openalex   +4 more sources

Convex Functions

open access: yesConvex Optimization, 2021
This paper will analyze convex functions. In particular, it will investigate criteria for convexity. The investigation will list the criteria from the weakest to the strongest based on theorems, definitions, propositions, and various examples. The theory
Susanna Maria Zagar
semanticscholar   +1 more source

Generalized fractional integral inequalities of Hermite-Hadamard-type for a convex function

open access: yesOpen Mathematics, 2020
The primary objective of this research is to establish the generalized fractional integral inequalities of Hermite-Hadamard-type for MT-convex functions and to explore some new Hermite-Hadamard-type inequalities in a form of Riemann-Liouville fractional ...
Feng Qi (祁锋)   +3 more
semanticscholar   +1 more source

On the singularities of convex functions [PDF]

open access: yesManuscripta Mathematica, 1992
A rectifiability result is provided for the singular sets of convex and semiconvex functions. In fact, for every real convex or semiconvex function \(u\) on a convex open subset \(\Omega\) of \({\mathbf R}^ n\), and every integer \(k\) such that \(0< k\leq n\), one may consider the set \(\Sigma^ k\) of all points \(x\in\Omega\) such that the ...
Alberti G, AMBROSIO, Luigi, Cannarsa P.
openaire   +3 more sources

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