Abstract
In a previous paper 1 This journal (1957), pp. 60-70; in the sequel it will be quoted as N. D. some results concerning numerical differentiation of functions of a single variable were obtained on the basis of the important investigation by W. Barrett 2 ‘On the remainders of numerical formulae, with special reference to differentiation formulae’, Journ. Lond. Math. Soc., Vol. 27 (1952). , which involved, inter alia, a considerable simplification of the form of remainder-terms of various formulae for numerical differentiation. The object of the present paper will be an extension of the results obtained for functions of a single variable to functions of several variables in the case of a regular distribution of the points at which the functional values are supposed to be given.
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