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Everything about Modulus of continuity

Function in mathematical analysis

In mathematical analysis, a modulus of continuity is a function ω : [0, ∞] → [0, ∞] used to measure quantitatively the uniform continuity of functions. So, a function f : I → R admits ω as a modulus of continuity if Wikipedia →

🧭 Start here: a 6-step reading path

  1. Read the overview: Modulus of continuityA 5-minute orientation
  2. Skim a recent paper: Approximation properties of Abel-Poisson integrals on the classes of differentiable functions, defined by means of modulus of continuityInfluential work since 2022
  3. Pick up a classic book: Continuum MechanicsThe most-reprinted book on the subject
  4. Read the landmark paper: Comparison theorems for a generalized modulus of continuityCited 46 times
  5. Go sideways: CĂ dlĂ gA closely related topic
  6. Go sideways: Modulus and characteristic of convexityA closely related topic

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