On Hadamard type polynomial convolutions with regularly varying sequences
On lambda-approximations for analytic functions on the unit disc
On th order differential equations over Hardy fields
On Regularly Varying Functions With Applications To Functions Theory.
On the Class Gamma and Related Classes of Functions
On the Classes of Rapidly Varying Functions
On the order of magnitude of Walsh-Fourier transform
For a Lebesgue integrable complex-valued function defined on let be its Walsh-Fourier transform. The Riemann-Lebesgue lemma says that as . But in general, there is no definite rate at which the Walsh-Fourier transform tends to zero. In fact, the Walsh-Fourier transform of an integrable function can tend to zero as slowly as we wish. Therefore, it is interesting to know for functions of which subclasses of there is a definite rate at which the Walsh-Fourier transform tends to zero. We...
O-Regualarly Varying Functions
O-Regular Variation And Uniform Convergence
Orlicz spaces, α-decreasing functions, and the Δ₂ condition
We prove some quantitatively sharp estimates concerning the Δ₂ and ∇₂ conditions for functions which generalize known ones. The sharp forms arise in the connection between Orlicz space theory and the theory of elliptic partial differential equations.
Orthogonal Polynomials and Regularly Varying Sequences
Regular Variation In Probability Theory
Regular variation on homogeneous cones
Regularity, nonoscillation and asymptotic behaviour of solutions of second order linear equations.
Regularly Varying Distributions
Regularly Varying Sequences and Entire Functions of Finite Order
Regularly varying solutions of generalized Thomas-Fermi equations
Regulární variace: od škálové invariance ke konvergenčním testům
Článek se snaží přiblížit některé aspekty teorie regulární variace. Jde o pojem z klasické analýzy, který má bohatou historii a četné aplikace v teorii pravděpodobnosti, teorii čísel, integrálních transformacích, komplexní analýze, diferenciálních rovnicích, teorii her či teorii grafů. Regulárně měnící se funkce mají souvislost s mnoha matematickými pojmy, včetně škálové invariance, kterou náš výklad začíná, či konvergenčními testy pro nekonečné řady, kterými náš výklad končí. V průběhu výkladu...
Representation theorems for sequences of the classes and .
Second order linear -difference equations: nonoscillation and asymptotics
The paper can be understood as a completion of the -Karamata theory along with a related discussion on the asymptotic behavior of solutions to the linear -difference equations. The -Karamata theory was recently introduced as the theory of regularly varying like functions on the lattice with . In addition to recalling the existing concepts of -regular variation and -rapid variation we introduce -regularly bounded functions and prove many related properties. The -Karamata theory is then...