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This wiki is a resource for people who do research in time scale calculus. Time scale calculus is a unification and extension of differential and difference calculus in which one does calculus upon a set called a time scale $\mathbb{T}$. When $\mathbb{T}=\mathbb{R}$ the resulting theory is differential calculus but when $\mathbb{T}=\mathbb{Z}$ the resulting theory is difference calculus. Time scales also include any closed subset of $\mathbb{R}$, so more exotic sets such as the Cantor set are also considered in the theory.
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Calculus on time scales
- List of time scales
- $\Delta$-derivative
- $\Delta$-integration
- Dynamic Equations
- Complex calculus on time scales
- Convergence of time scales
- Laplace transform
- Fourier transform
- Regressive functions
Inequalities
- Bernoulli inequality
- Bihari inequality
- Cauchy-Schwarz inequality
- Gronwall inequality
- Hölder inequality
- Jensen inequality
- Lyapunov inequality
- Minkowski inequality
- Opial inequality
- Wirtinger inequality
