Convergence of convex functions and generalized inf-convolutive approximations. (Convergences des fonctions convexes et approximations inf-convolutives généralisées.)
Convergence of Ratios and Differences of two Order Statistics
Convergence of series of dilated functions and spectral norms of GCD matrices
We establish a connection between the L² norm of sums of dilated functions whose jth Fourier coefficients are for some α ∈ (1/2,1), and the spectral norms of certain greatest common divisor (GCD) matrices. Utilizing recent bounds for these spectral norms, we obtain sharp conditions for the convergence in L² and for the almost everywhere convergence of series of dilated functions.
Convergence on almost every line for functions with gradient in
We prove that if for certain values of , then
Convergence on vector spaces with -localisation.
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...