Proofs of central-difference interpolation formulas

DOI10.1016/0021-9045(82)90035-1zbMath0487.41038OpenAlexW2078208578MaRDI QIDQ1165415

Elias S. W. Shiu

Publication date: 1982

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(82)90035-1

zbMATH Keywords

umbral calculusStirling's formuladelta operatorbasic polynomialsBessel's formulacentral- difference interpolation formulasEverett's formulaSteffensen's formula

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Interpolation in approximation theory (41A05) Approximation by polynomials (41A10) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58)

Cites Work

• The algebra of formal series III: Several variables
• The umbral calculus
• Some properties of polynomial sets of type zero
• The poweroid, an extension of the mathematical notion of power
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