Maximal classes for the family of strong Świątkowski functions.

DOI10.14321/realanalexch.28.2.0429zbMath1047.26003OpenAlexW1577596047MaRDI QIDQ595885

Paulina Szczuka

Publication date: 6 August 2004

Published in: Real Analysis Exchange (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14321/realanalexch.28.2.0429

zbMATH Keywords

continuityDarboux functionsextra strong Świątkowski functionsmaximal classstrong Świątkowski functions

Mathematics Subject Classification ID

Weak and generalized continuity (54C08) Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Classification of real functions; Baire classification of sets and functions (26A21)

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\(A\)-Darboux functions, Around the Świątkowski-type conditions, Maximal classes for lower and upper semicontinuous strong Świątkowski functions, Maximums of upper semicontinuous strong Świątkowski functions