A Short Course in Interpolation |
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¹ƒ(a ²ƒ(a ³f(a ³ƒ(a a₁ A²f(a A²ƒ(a A³f(a Af(a Aƒ(a approximation arithmetic mean Binomial binomial coefficient Binomial Theorem Calculate central-difference formulae central-difference notation compute constant cubic function denote diagram difference of f(a difference-product differences of odd differences of order differential calculus divided differences equation Everett's formula EXAMPLES ON CHAPTER expression f(a+xw f(a₁ f(an f(ao find the value formula for unequal formula of interpolation Gregory-Newton formula higher order homogeneous function intermediate interpolation formula James Gregory Lagrange's formula last section leading term log tan 24 lozenge mean difference Methodus Differentialis Newton Newton-Bessel formula Newton-Gauss formula Newton-Stirling formula Newton's formula obtain the result odd order polynomial of degree quantity routes sequence Stirling's formula successive differences suppose table of divided table of values tabulated values Theorem third differences u₁ unequal intervals value of f(u x(x² α₁ α½ α₂