INEQUALITIES FOR THE RIEMANN–STIELTJES INTEGRAL OF S-DOMINATED INTEGRATORS WITH APPLICATIONS. I
Assume that u,v : [a,b] → R are monotonic nondecreasing on the interval [a,b]. We say that the complex-valued function h : [a,b] → C is S-dominated by the pair (u,v) if |h(y) – h(x)|^2 ≤ [u(y) – v(x)] for any x,y Є [a,b]. In this paper we show amongst other that |∫ab f(t)dh(t)|^2 ≤ ∫ab|f(t)|du(t)∫ab...
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| Format: | Article |
| Language: | English |
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Petrozavodsk State University
2015-04-01
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| Series: | Проблемы анализа |
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| Online Access: | http://issuesofanalysis.petrsu.ru/article/genpdf.php?id=2809&lang=en |