Short proofs for the inequalities of Szegö, Markov and Zygmund
Some approximation problems in -spaces of matrix-valued functions
Some orthogonalities in approximation theory.
Some remarks on a theorem of S.M. Lozinski concerning linear process of approximation of periodic functions
Spectral reconstruction of piecewise smooth functions from their discrete data
This paper addresses the recovery of piecewise smooth functions from their discrete data. Reconstruction methods using both pseudo-spectral coefficients and physical space interpolants have been discussed extensively in the literature, and it is clear that an a priori knowledge of the jump discontinuity location is essential for any reconstruction technique to yield spectrally accurate results with high resolution near the discontinuities. Hence detection of the jump discontinuities is critical...
Spectral Reconstruction of Piecewise Smooth Functions from Their Discrete Data
This paper addresses the recovery of piecewise smooth functions from their discrete data. Reconstruction methods using both pseudo-spectral coefficients and physical space interpolants have been discussed extensively in the literature, and it is clear that an a priori knowledge of the jump discontinuity location is essential for any reconstruction technique to yield spectrally accurate results with high resolution near the discontinuities. Hence detection of the jump discontinuities is critical...
Stečkin inequalities for summability methods.