Differential subordination for meromorphic multivalent quasi-convex functions.
Differential subordination results for new classes of the family .
Differentiation bases for Sobolev functions on metric spaces.
We study Lebesgue points for Sobolev functions over other collections of sets than balls. Our main result gives several conditions for a differentiation basis, which characterize the existence of Lebesgue points outside a set of capacity zero.
Differentiation des Ausdrucks xk, wenn x eine Function irgend einer unabhängig Veränderlichen bedeutet
Differentiation of n-convex functions
The main result of this paper is that if f is n-convex on a measurable subset E of ℝ, then f is n-2 times differentiable, n-2 times Peano differentiable and the corresponding derivatives are equal, and except on a countable set. Moreover is approximately differentiable with approximate derivative equal to the nth approximate Peano derivative of f almost everywhere.
Differentiation of Vector-Valued Functions on n -Dimensional Real Normed Linear Spaces
In this article, we define and develop differentiation of vector-valued functions on n-dimensional real normed linear spaces (refer to [16] and [17]).
Differentiation through starlike sets in
Differenziabilità delle funzioni convesse a valori in spazi di successioni
Dimension and Structure of Typical Compact Sets, Continua and Curves.
Direct and Reverse Gagliardo-Nirenberg Inequalities from Logarithmic Sobolev Inequalities
We investigate the connection between certain logarithmic Sobolev inequalities and generalizations of Gagliardo-Nirenberg inequalities. A similar connection holds between reverse logarithmic Sobolev inequalities and a new class of reverse Gagliardo-Nirenberg inequalities.
Directional qualitative cluster sets
Directions De Majoration D'une Fonction Quasiconvexe Et Applications
We introduce the convex cone constituted by the directions of majoration of a quasiconvex function. This cone is used to formulate a qualification condition ensuring the epiconvergence of a sequence of general quasiconvex marginal functions in finite dimensional spaces.
Discontinuity points of exactly -to-one functions
Discrete analogues of Wirtinger's inequality for a two-dimensional array
Discrete approximation of the Mumford-Shah functional in dimension two
The Mumford-Shah functional, introduced to study image segmentation problems, is approximated in the sense of vergence by a sequence of integral functionals defined on piecewise affine functions.
Discrete convexity.
Discrete fractional calculus with the nabla operator.
Discrete Inequalities of Generalized Wirtinger Type.
Discrete inequalities of Wirtinger's type for higher differences.
Discrete Models of Time-Fractional Diffusion in a Potential Well
Mathematics Subject Classification: 26A33, 45K05, 60J60, 60G50, 65N06, 80-99.By generalization of Ehrenfest’s urn model, we obtain discrete approximations to spatially one-dimensional time-fractional diffusion processes with drift towards the origin. These discrete approximations can be interpreted (a) as difference schemes for the relevant time-fractional partial differential equation, (b) as random walk models. The relevant convergence questions as well as the behaviour for time tending to infinity...