Generalized Binomial law and Regularly Varying Moments
Good Decomposition in the Class of Convex Functions of Higher Order
Growth orders occurring in expansions of Hardy-field solutions of algebraic differential equations
Growth orders occurring in expansions of Hardy-field solutions of algebraic differential equations
We consider the asymptotic growth of Hardy-field solutions of algebraic differential equations, e.g. solutions with no oscillatory component, and prove that no ‘sub-term’ occurring in a nested expansion of such can tend to zero more rapidly than a fixed rate depending on the order of the differential equation. We also consider series expansions. An example of the results obtained may be stated as follows.Let be an element of a Hardy field which has an asymptotic series expansion in , and ,...
Hardy fields and existence of transexponential functions.
Image Compression with Schauder Bases
As is known, color images are represented as multiple, channels, i.e. integer-valued functions on a discrete rectangle, corresponding to pixels on the screen. Thus, image compression, can be reduced to investigating suitable properties of such, functions. Each channel is compressed independently. We are, representing each such function by means of multi-dimensional, Haar and diamond bases so that the functions can be remembered, by their basis coefficients without loss of information. For, each...
Indices of Orlicz spaces and some applications
We study connections between the Boyd indices in Orlicz spaces and the growth conditions frequently met in various applications, for instance, in the regularity theory of variational integrals with non-standard growth. We develop a truncation method for computation of the indices and we also give characterizations of them in terms of the growth exponents and of the Jensen means. Applications concern variational integrals and extrapolation of integral operators.
Infinite combinatorics in Function spaces: Category methods
Integral Kernels with Regular Variation Property
Karamata's Iteration Theorem And Normed Regularly Varying Sequences In A Historical Light
La convolution dans faible de
La théorie de Karamata en bref
Linear functional inequalities-a general theory and new special cases [Book]
Lorentz-Karamata spaces, Bessel and Riesz potentials and embeddings [Book]
Measuring asymptotic convexity
Moment measures of heavy-tailed renewal point processes: asymptotics and applications
We study higher-order moment measures of heavy-tailed renewal models, including a renewal point process with heavy-tailed inter-renewal distribution and its continuous analog, the occupation measure of a heavy-tailed Lévy subordinator. Our results reveal that the asymptotic structure of such moment measures are given by explicit power-law density functions. The same power-law densities appear naturally as cumulant measures of certain Poisson and Gaussian stochastic integrals. This correspondence...
-regularly varying functions and some asymptotic relations.
On a characterization of -norm
On a problem of V. Pták
On a Theorem of M. Vuilleumier