Continuity of Nemyckij's operator in Hölder spaces
Continuity of order-preserving functions
Let the spaces and be ordered by cones and respectively, let be a nonempty subset of , and let be an order-preserving function. Suppose that is generating in , and that contains no affine line. Then is locally bounded on the interior of , and continuous almost everywhere with respect to the Lebesgue measure on . If in addition is a closed halfspace and if is connected, then is continuous if and only if the range is connected.
Continuity of the superposition of set-valued functions.
Continuity properties of convex-type set-valued maps.
Continuity properties relative to the intermediate point in a mean value theorem.
Continuous dependence of inverse fundamental matrices of generalized linear ordinary differential equations on a parameter
The problem of continuous dependence for inverses of fundamental matrices in the case when uniform convergence is violated is presented here.
Continuous-, derivative-, and differentiable-restrictions of measurable functions
We review the known facts and establish some new results concerning continuous-restrictions, derivative-restrictions, and differentiable-restrictions of Lebesgue measurable, universally measurable, and Marczewski measurable functions, as well as functions which have the Baire properties in the wide and restricted senses. We also discuss some known examples and present a number of new examples to show that the theorems are sharp.
Continuous functions that conjugate trapezoid functions.
Continuously differentiable means.
Contre-exemples associés aux théorèmes de Rosenthal. Quelques propriétés liées à ces résultats
Contributions to local and microlocal analysis, an overwiew
Controlled convergence theorems for Henstock-Kurzweil-Pettis integral on -dimensional compact intervals
In this paper we use a generalized version of absolute continuity defined by J. Kurzweil, J. Jarník, Equiintegrability and controlled convergence of Perron-type integrable functions, Real Anal. Exch. 17 (1992), 110–139. By applying uniformly this generalized version of absolute continuity to the primitives of the Henstock-Kurzweil-Pettis integrable functions, we obtain controlled convergence theorems for the Henstock-Kurzweil-Pettis integral. First, we present a controlled convergence theorem for...
Convergence and integrability for some classes of trigonometric series [Book]
Convergence et relaxation de fonctionnelles du calcul des variations à croissance linéaire. Application à l'homogénéisation en plasticité
Convergence in incomplete market models.
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.