Approximation Theory and ApplicationsSankatha Prasad Singh |
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Amer applications Approximation Theory arity assume Banach space best approximation brackets Cesáro mean Chebyshev approximation closed convex subset compact subset complete contractions converges uniformly convex subset Corollary cubic spline interpolation defined denote dense compact dimensional subspace Dunham element exists Ext S(U finite dimensional fixed point theorem formula Fourier series Hence Hilbert space implies integral Korovkin Lemma linear subspace Lipschitzian Lorentz lower semicontinuous Math Mathematics Memorial University metric projection metric selection metric space monotone Non-standard Analysis nonempty closed Nörlund mean normed linear space obtain operators Pc(x Pc(y problem Proof of Theorem prove proximinal proximity map satisfying set-valued mapping Singh spline interpolation Suppose T-invariant Theorem 2.1 topology unique v₁ weighted polynomials Xj+1 zero ΔΧ