On the Differentiability of ∫&lt;sup&gt;x&lt;/sup&gt;&lt;sub&gt;0&lt;/sub&gt; sin(1/t) dt and ∫&lt;sup&gt;x&lt;/sup&gt;&lt;sub&gt;0&lt;/sub&gt; sin (ln t) dt

Fishback, Paul E.; Ceglarek, Nicholas; Moleski, Tobias

doi:10.2307/2691269

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Theorem 2 For Every Natural Number N the Limit Lim X→01

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2002

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Cited by 2 publications

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“…In closing, we thank the referee for pointing out that the authors of [2] have shown that, for a function φ that is continuously differentiable on (0, 1], has a monotone derivative, and satisfies lim t→0 + φ(t) = ±∞, the additional condition of lim t→0 + tφ (t) being finite guarantees that the right-hand derivative lim…”

Section: Theorem 2 For Every Natural Number N the Limit Lim X→0mentioning

confidence: 99%

See 1 more Smart Citation

The Right-Hand Derivative of an Integral

Feeman¹,

Marrero²

2002

The American Mathematical Monthly

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Section: Theorem 2 For Every Natural Number N the Limit Lim X→0mentioning

confidence: 99%

“…We also observe with interest that this problem seems to have been proposed anew at nearly regular intervals of ten to fifteen years. The article [2] also contains a discussion of this problem.…”

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confidence: 99%