Adjoint differential inclusions in necessary conditions for the minimal trajectories of differential inclusions
Affine and convex functions with respect to the logarithmic mean
The class of all functions f:(0,∞) → (0,∞) which are continuous at least at one point and affine with respect to the logarithmic mean is determined. Some related results concerning the functions convex with respect to the logarithmic mean are presented.
Affine selections of convex set-valued functions.
Algebraic and topological structures on the set of mean functions and generalization of the AGM mean
We present new structures and results on the set of mean functions on a given symmetric domain in ℝ². First, we construct on a structure of abelian group in which the neutral element is the arithmetic mean; then we study some symmetries in that group. Next, we construct on a structure of metric space under which is the closed ball with center the arithmetic mean and radius 1/2. We show in particular that the geometric and harmonic means lie on the boundary of . Finally, we give two theorems...
Almost midconvex and almost convex set-valued functions
Almost quasicontinuity of multivalued maps on product spaces
An algorithmic determination of optimal measure from data and some applications.
An application of nonstandard analysis to category
An application of nonstandard analysis to functional equations.
An Egoroff-type theorem for set-valued measurable functions.
An elementary approach to some applications of nonstandard analysis
An extension of Stolarsky means.
An extension of Stolarsky means to the multivariable case.
An extension of the Hermite-Hadamard inequality and an application for Gini and Stolarsky means.
An implicit method for fuzzy parabolic partial differential equations.
An implicit-function theorem for a class of monotone generalized equations
An improved Hardy-Rellich inequality with optimal constant.
An inequality of Ostrowski type via Pompeiu's mean value theorem.
An optimal double inequality between power-type Heron and Seiffert means.
An optimal double inequality for means.