The continuity of symmetric and smooth functions

DOI10.1007/BF01958022zbMath0547.26005MaRDI QIDQ798789

Lee Larson, Michael J. Evans

Publication date: 1984

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

zbMATH Keywords

continuityBaire propertysymmetric and smooth functions

Mathematics Subject Classification ID

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)

Related Items (5)

High order smoothness ⋮ Symmetric Functions, Lebesgue Measurability, and the Baire Property ⋮ Approximate smoothness and Baire\(^*\) 1 ⋮ Approximate high order smoothness ⋮ A pathological approximately smooth function

Cites Work

• Functions with the Darboux property and functions with connected graphs
• Symmetric, continuous, and smooth functions
• Baire ∗ 1, Darboux Functions
• Sur les fonctions dont la dérivée symétrique est partout finie
• Smoothness and differentiability in $L_{p}$
• A note on symmetrically continuous functions

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