My Math Forum  

Go Back   My Math Forum > College Math Forum > Real Analysis

Real Analysis Real Analysis Math Forum

LinkBack Thread Tools Display Modes
November 4th, 2017, 10:44 AM   #1
Senior Member
Joined: Jan 2015
From: usa

Posts: 103
Thanks: 1

Inequality with fixed parameter

We consider a fixed parameter $a\gg1$ and we note $\cosh(\theta)=\sqrt{4a+1}$ and $\sinh(\theta)=2\sqrt{a}$

for all $t>0$ we note:

$$u(t)=\frac{\sinh\Big(\frac{t}{2}\cosh(\theta)\Bi g)}{\cosh(\theta)}$$



I want to show that $$f(t)\ge \frac{\theta^2}{sinh(\theta)}$$ for all $\frac{2\theta}{cosh(\theta)}\le t\le \frac{2\theta^2}{cosh(\theta)}$

Last edited by mona123; November 4th, 2017 at 11:35 AM.
mona123 is offline  

  My Math Forum > College Math Forum > Real Analysis

fixed, inequality, parameter

Thread Tools
Display Modes

Similar Threads
Thread Thread Starter Forum Replies Last Post
Parameter help! eglaud Calculus 12 February 11th, 2016 07:28 PM
Need help (determinant with a parameter) ahmed2009 Linear Algebra 2 November 27th, 2015 07:23 AM
parameter representation Zman15 Geometry 2 March 11th, 2015 01:42 PM
Another parameter question. jiasyuen Calculus 11 February 9th, 2015 06:23 PM
what is parameter? helloprajna Number Theory 6 July 9th, 2013 10:46 PM

Copyright © 2018 My Math Forum. All rights reserved.