Quasi-convexity, strictly quasi-convexity and pseudo-convexity of composite objective functions
Quasilineary Properties of Differentiable Functions in a Field with a Non-Archimedean Valuation.
Quasiuniform limits of quasicontinuous functions
Quelques remarques sur la semi-continuité supérieure
Quelques remarques sur les classes de Baire des fonctions de deux variables
Quelques remarques sur les familles de fonctions de Baire de première classe
Question d'examen
Questions
Quotients of peripherally continuous functions
We characterize the family of quotients of peripherally continuous functions. Moreover, we study cardinal invariants related to quotients in the case of peripherally continuous functions and the complement of this family.
-sequence and applications.
Racines de fonctions différentiables
Nous précisons la classe de différentiabilité de où désigne une fonction positive de classe , -plate sur l’ensemble de ses zéros, et un réel, ; de plus, nous étudions l’existence locale d’une racine -ième de classe , pour une fonction de classe admettant une racine -ième formelle en chaque point.
Ramsey, Lebesgue, and Marczewski sets and the Baire property
We investigate the completely Ramsey, Lebesgue, and Marczewski σ-algebras and their relations to the Baire property in the Ellentuck and density topologies. Two theorems concerning the Marczewski σ-algebra (s) are presented. THEOREM. In the density topology D, (s) coincides with the σ-algebra of Lebesgue measurable sets. THEOREM. In the Ellentuck topology on , is a proper subset of the hereditary ideal associated with (s). We construct an example in the Ellentuck topology of a set which is...
Ranks for baire multifunctions
Various ordinal ranks for Baire-1 real-valued functions, which have been used in the literature, are adapted to provide ranks for Baire-1 multifunctions. A new rank is also introduced which, roughly speaking, gives an estimate of how far a Baire-1 multifunction is from being upper semicontinuous.
Real functions having graphs connected and dense in the plane
Recent applications of fractional calculus to science and engineering.
Refined multidimensional Hardy-type inequalities via superquadracity.
Refinements of the Hermite-Hadamard inequality for convex functions.
Regarding arc-wise accessibility in the plane
Regular fractional iteration of convex functions
The existence of a unique solution φ of equation (1) is proved under the condition that f: I → I is convex or concave and of class in I, 0 < f(x) < x in I*, and f’(x) > 0 in I. Here I = [0, a] or [0, a), 0 < a ≤ ∞, and I* = I 0.
Regular fractional iterations.