8 Questions 101 Answers 0 Followers
Questions related from Miodrag Mateljević
We are interested in new proofs, connections with others theories and variations of the following theorem. Th K (Karamata). If $f$ is monotone on some interval $[A,\infty)$, $$...
06 June 2018 4,236 1 View
In particular, what is known for harmonic functions? The proof of standard Maximum Principle for Solutions of Elliptic Systems is based on Proposition 1: If $B$ is positive definite matrix...
03 March 2018 6,540 1 View
If you work in real analysis see the formulation B). By $\mathbb{D} $ and $\mathbb{T} $ we denote the unit disk and the unit circle respectively. A)For $p\in \mathbb{D} $, let $H(p)$...
12 December 2016 1,746 14 View
We asked the question in general, so we can discuss contributions of mathematical giants Atiyah–Bott, Banach,Browder,Brouwer, Caristi, Kakutani, Knaster–Tarski,Lefschetz,...
08 August 2016 6,982 5 View
The question of course references Wigner's The Unreasonable Effectiveness of Mathematics in the Natural Sciences. Is mathematics unreasonably effective in the natural sciences? It has been argued...
05 May 2015 594 6 View
The following inequality is known as Petrovic's inequality: Prop 1. Let $f : [0,\infty) \rightarrow \mathbb{R}$ be a convex function, and $(x_i)_{i=1}^n$, be a sequence of positive numbers....
01 January 1970 3,191 12 View
Let $S$ be a minimal surface in $R^3$ space and $\Gamma$ a family of curves on $S$. Further let $L$ be a plane in $R^3$ and $\Gamma'$ the family which is the projection of $\Gamma$ onto $L$. Are...
01 January 1970 8,406 4 View
A reasonable method of defining an integral that includes the HK integral is to say a Schwartz distribution $f$ is integrable if it is the distributional derivative of a continuous function $F$....
01 January 1970 9,028 3 View