New posts in real-analysis

Prove that: $ \int_{0}^{1} \ln \sqrt{\frac{1+\cos x}{1-\sin x}}\le \ln 2$

calculus real-analysis integration inequality definite-integrals

Find the maximum and minimum of $\sum_{i=1}^{n-1}x_ix_{i+1}$ subject to $\sum_{i=1}^nx_i^2=1$.

real-analysis analysis inequality optimization contest-math

Show f is uniformly continuous on $(a,b)$ if it is continuous and $\lim\limits_{x\to a^+}f(x)$ and $\lim\limits_{x\to b^-}f(x)$ exist

real-analysis functions continuity

Sum of $\sum_{n=1}^\infty \frac{(-1)^n}{n^2+(n^2-1)^2}$

real-analysis sequences-and-series

Generalized Minkowski inequality for $L^p$ spaces

real-analysis measure-theory inequality lebesgue-integral lp-spaces

Notation for the closed set $[a,b]$ and set $(a,b)$ in $\mathbb R^2$

real-analysis linear-algebra general-topology elementary-set-theory notation

Cauchy condition for functions

real-analysis convergence-divergence

Is it worthy to buy Kaczor's "Problems in Mathematical Analysis" three volumes?

calculus real-analysis reference-request book-recommendation

Will this sequence of polynomials converge to a Hermite polynomial pointwise?

real-analysis polynomials orthogonal-polynomials

Given a bounded countable set, for all uncountable sets, does part of the uncountable set look the exact same as that countable set?

real-analysis examples-counterexamples

Intuition behind convolution

real-analysis intuition convolution

Bounds of the derivatives of the mollifier function

real-analysis derivatives

Give examples of clopen (open and closed) sets

real-analysis general-topology metric-spaces examples-counterexamples

An Odd Mean Value Theorem Problem

real-analysis derivatives

Lower semi-continuity of one dimensional Hausdorff measure under Hausdorff convergence

real-analysis analysis metric-spaces metric-geometry

Is the following Harmonic Number Identity true?

calculus real-analysis sequences-and-series harmonic-numbers polylogarithm

Limiting Behaviour of Mean Value Theorem ($\theta \to \frac12$ as $h \to 0$)

calculus real-analysis limits derivatives

An alternative way to define improper integrals

real-analysis integration improper-integrals

Showing that $f(x,y)\sim f(x_0,y_0)+\frac{\partial f}{\partial x}\Delta x + \frac{\partial f}{\partial y}\Delta y$

real-analysis calculus multivariable-calculus proof-writing

Derivative of absolute value using epsilon delta

real-analysis limits derivatives absolute-value epsilon-delta