-regularly varying functions and some asymptotic relations.
On a characterization of -norm
On a problem of V. Pták
On a Theorem of M. Vuilleumier
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