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Watheophy
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A problem of the limit of $\frac{\sup_{0<\lvert y\rvert\leq \delta}\lvert f(x+y)-f(x)\rvert}{\delta^{a}}$
Your sequence $r_j$ is kind of weird. Its ratio $r_{j+1}/r_j$ converges faster than $r_j$. Could you please example one sequence like this?
accepted
Compare two limits related to Hölder condition
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A problem of the limit of $\frac{\sup_{0<\lvert y\rvert\leq \delta}\lvert f(x+y)-f(x)\rvert}{\delta^{a}}$
@Echo The dominator in the lower limit is $\delta^{a+\epsilon}$.
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A problem of the limit of $\frac{\sup_{0<\lvert y\rvert\leq \delta}\lvert f(x+y)-f(x)\rvert}{\delta^{a}}$
@Echo Do you mean $f(r) = r^{a-r}$?
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A problem of the limit of $\frac{\sup_{0<\lvert y\rvert\leq \delta}\lvert f(x+y)-f(x)\rvert}{\delta^{a}}$
@Echo Its lower limit is infinite.
asked
A problem of the limit of $\frac{\sup_{0<\lvert y\rvert\leq \delta}\lvert f(x+y)-f(x)\rvert}{\delta^{a}}$
awarded
 Yearling
revised
$ \varlimsup_{x\rightarrow 0^+}\frac{f(x)}{x^a}=\varliminf_{x \rightarrow 0^+}\frac{f(x)}{x^a} $
edited title
asked
$ \varlimsup_{x\rightarrow 0^+}\frac{f(x)}{x^a}=\varliminf_{x \rightarrow 0^+}\frac{f(x)}{x^a} $
asked
Compare two limits related to Hölder condition
accepted
How to validate the exponentiality of fractional calculus?
asked
How to validate the exponentiality of fractional calculus?
accepted
A question about box dimension and Hölder condition
accepted
A question about dense sets
awarded
 Scholar
accepted
Question about Lipschitz conditions
accepted
A limit problem
revised
A limit problem
deleted 2 characters in body
awarded
 Supporter
suggested
Reject
A limit problem