Positive, copositive, onesided and intertwining (co-onesided) polynomial and spline approximations of functions $f\in\Wp^k\mll$ are considered. Both uniform and pointwise estimates, which are exact in some sense, are obtained.

Keywords:

Constrained approximation, polynomials, splines, degree of, approximation, $L_p$ space, Sobolev space Constrained approximation, polynomials, splines, degree of, approximation, $L_p$ space, Sobolev space

MSC Classifications:

41A10, 41A15, 41A25, 41A29 show english descriptions Approximation by polynomials {For approximation by trigonometric polynomials, see 42A10}
Spline approximation
Rate of convergence, degree of approximation
Approximation with constraints 41A10 - Approximation by polynomials {For approximation by trigonometric polynomials, see 42A10}
41A15 - Spline approximation
41A25 - Rate of convergence, degree of approximation
41A29 - Approximation with constraints

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