Convergence presque sûre de moyennes de sommes de Riemann
Convergence theorems for a Daniell-Loomis integral.
Convergence theorems for the Perron integral and Sklyarenko's condition
It is shown that a uniform version of Sklyarenko's integrability condition for Perron integrals together with pointwise convergence of a sequence of integrable functions are sufficient for a convergence theorem for Perron integrals.
Convergence theorems for the PU-integral
We give a definition of uniform PU-integrability for a sequence of -measurable real functions defined on an abstract metric space and prove that it is not equivalent to the uniform -integrability.
Convergences for the group of real numbers
Convergencia de sucesiones dadas por fórmulas de recurencia de primer orden
Convessità in dimensione finita
Convex and monotone operator functions
The purpose of this note is to provide characterizations of operator convexity and give an alternative proof of a two-dimensional analogue of a theorem of Löwner concerning operator monotonicity.
Convex differentiable set-valued functions.
Convex functions and inequalities for integrals.
Convex functions and the Hadamard inequality.
Convex functions of higher orders in Euclidean spaces
Convex functions with respect to logarithmic mean and ѕandwich theorem
Convex sets and inequalities.
Convex transformations with Banach lattice range.
A closed epigraph theorem for Jensen-convex mappings with values in Banach lattices with a strong unit is established. This allows one to reduce the examination of continuity of vector valued transformations to the case of convex real functionals. In particular, it is shown that a weakly continuous Jensen-convex mapping is continuous. A number of corollaries follow; among them, a characterization of continuous vector-valued convex transformations is given that answers a question raised by Ih-Ching...
Convexity and almost convexity in groups
We give a review of results proved and published mostly in recent years, concerning real-valued convex functions as well as almost convex functions defined on a (not necessarily convex) subset of a group. Analogues of such classical results as the theorems of Jensen, Bernstein-Doetsch, Blumberg-Sierpiński, Ostrowski, and Mehdi are presented. A version of the Hahn-Banach theorem with a convex control function is proved, too. We also study some questions specific for the group setting, for instance...
Convexity of the zero-balanced Gaussian hypergeometric functions with respect to Hölder means.
Convexity of weighted Stolarsky means.
Convexity properties and inequalities for a generalized gamma function.
Convexity with given infinite weight sequences.