Results 1 to 10 of about 11,086,842 (321)
Hermite-Hadamard type inequalities for F-convex function involving fractional integrals. [PDF]
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.
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Convex Functions on Convex Polytopes [PDF]
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
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On an Inequality for Convex Functions [PDF]
H. D. Brunk
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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
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The Properties of Harmonically cr-h-Convex Function and Its Applications
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
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Functions with convex means [PDF]
T. K. Boehme, A. M. Bruckner
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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
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Generalized fractional integral inequalities of Hermite-Hadamard-type for a convex function
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
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On the singularities of convex functions [PDF]
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.
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