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I. Lagrange interpolation -- II. Some convergent interpolatory processes -- III. The Lebesgue function and Lebesgue function-type sums -- IV. Divergence of Lagrange interpolation -- V. Hermite-Fejer and Hermite-Fejer type interpolations -- VI. Comparison of Lagrange and Hermite-…
This book gives a systematic survey on the most significant results of interpolation theory in the last forty years. It deals with Lagrange interpolation including lower estimates, fine and rough theory, interpolatory proofs of Jackson and Teliakovski-Gopengauz theorems, Lebesgu…