On the Best Approximation for Singular In- Tegrals by Laplace-transform Methods by Hubert Berens and P. L. Butzer
نویسنده
چکیده
a general singular integral with parameter p > 0 and kernel k having the following property (P): k(u)^0 in 0 0 , and if k satisfies (P), then the following statements hold; (i) Jp(t) exists as a function of t almost everywhere, e~ Jp ELp(0, 00) for every c > 0 , and \\eJp\\ vo,«o^||*~ !f|UP(o,«,)î (ii) l i m P Î O O | | ^ { / / p } | | p = 0. Furthermore, we denote by
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