Interpolation Series

DOI10.2307/1990503zbMath0033.36401OpenAlexW4233071131MaRDI QIDQ5790965

R. Creighton Buck

Publication date: 1948

Full work available at URL: https://doi.org/10.2307/1990503

zbMATH Keywords

Complex functions

Related Items (18)

Existence of Interpolating Functions of Exponential Type ⋮ A note on convergence of Newton interpolating polynomials ⋮ Pointwise and uniform error estimates associated with Abel-Whittaker interpolation series and its dual ⋮ Interpolation Series for Integral Functions of Exponential Type ⋮ A Uniqueness Theorem for Entire Functions ⋮ Convergence rates for exponential interpolation series ⋮ Periodic-type functionals and their extensions ⋮ Expansion of Analytic Functions in Exponential Polynomials ⋮ On transcendental entire functions with infinitely many derivatives taking integer values at several points ⋮ Factorial functions and Stirling numbers of fractional orders ⋮ On the stability of classes of uniqueness of interpolation problems ⋮ Two results on polynomial interpolation in equally spaced points ⋮ On a Theorem Concerning Existence of Interpolating Functions ⋮ A unified calculus using the generalized Bernoulli polynomials ⋮ Uniqueness and interpolation results for entire functions of exponential type ⋮ Interpolation series for fractional derivatives and iterates of functions and operators ⋮ Vanishing Central Differences ⋮ A sampling theorem with equally spaced sampling points on the negative time axis

Cites Work

• Representation of functions by Lidstone series
• Functions of exponential type. III
• On Certain Polynomial and Other Approximations to Analytic Functions
• On Lidstone's Series and Two-Point Expansions of Analytic Functions
• On certain two-point expansions of integral functions of exponential type
• Interpolation and Uniqueness of Entire Functions
• Entire functions of exponential type
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