Some applications of generalized Orlicz spaces in approximation theory and Fourier series
On some conservative nonlinear integral operators
A note on Fourier series of functions of an infinite number of variables
On absolute convergence of multiple Fourier series
On absolute convergence of Fourier series of some almost periodic functions
On spaces with mixed modulars and some spaces of temperate distributions
Review: L. A. Steen; Mathematics today - twelwe informal essays
The article contains no abstract
On absolute convergence of Haar series
On quasianalytic classes of functions, expansible in series
About Professor Zdzisław Krygowski on the 50th anniversary of his death
Henryk Hudzik – vita et opera
This article contains a short vita of Henryk Hudzik's as well as a non-exhaustive survey of his contribution to various areas of analysis. We focus on the theory of Orlicz−Sobolev spaces and the geometry of Banach spaces. We highlight criteria for some important geometric properties related to the metric fixed point theory in some classes of Banach lattices, including Orlicz and Orlicz−Lorentz spaces, but we do not forget Henryk Hudzik's contribution to nonlinear integral equations and partial differential...
Approximation by nonlinear integral operators in some modular function spaces
Let G be a locally compact Hausdorff group with Haar measure, and let L⁰(G) be the space of extended real-valued measurable functions on G, finite a.e. Let ϱ and η be modulars on L⁰(G). The error of approximation ϱ(a(Tf - f)) of a function is estimated, where and K satisfies a generalized Lipschitz condition with respect to the second variable.
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