2017
Том 69
№ 9

All Issues

Optimal renewal of definite integrals of monotone functions from the class $H^{ω}$

Busarova T. N.

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Abstract

We obtain an exact estimate of the error of optimal renewal of an integral on a set of functions $f(t)$ monotone on $[a, b]$ with a convex majorant of the modulus of continuity, provided that $|f(b) − f(a)| = L > 0$.

English version (Springer): Ukrainian Mathematical Journal 49 (1997), no. 8, pp 1135-1139.

Citation Example: Busarova T. N. Optimal renewal of definite integrals of monotone functions from the class $H^{ω}$ // Ukr. Mat. Zh. - 1997. - 49, № 8. - pp. 1011–1015.

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