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Results tagged with real-analysis
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user 151319
Real-valued functions of real variable, analytic properties of functions and sequences, limits, continuity, smoothness of these.
1
vote
1
answer
90
views
Characterising the number of turning points of a 'generalised' polynomial
Is it possible to find the number of turning points of a power function whose largest exponent is some real number known to lie between $(n,n+1)$ for some $n\in\mathbb{Z}$?
To give an example
Consi …
- 33
1
vote
1
answer
159
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Inequalities involving Gamma function
I am having some difficulty in proving the following inequality:
\begin{equation*}
\frac{1-e^{-\gamma b}}{b^\eta}-\frac{1-e^{-\gamma s}}{s^\eta}\geq \gamma(1-\eta)\int^b_sy^{-\eta}e^{-\gamma y}dy
\end …
- 33