Tapproximation
Tapproximation is a framework in approximation theory describing a family of operators {T_t}_{t>0} that approximate a target function as t tends to zero. Each operator T_t maps a function f defined on a domain to another function, often by smoothing or local averaging.
A common form is T_t f(x) = ∫ f(y) K_t(x,y) dy, where K_t is a kernel family with K_t
Discrete versions include polynomial approximations such as Bernstein polynomials or Fejér means, which can be interpreted
Applications of Tapproximation appear in numerical approximation of functions, smoothing of noisy data, and providing theoretical