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Oct 25, 2017Open AccessArticle
Applications of the generalization of MazurOrlicz theorem to concrete spaces are proved. Suitable moment problems are solved, as applications of extension theorems of linear operators with a convex and a concave constraint. In particular, a relationship between MazurOrlicz theorem and Markov moment problem is partially illustrated. In the end of this work, an application to the multidimensional Markov moment problem of an earlie ...
Aug 23, 2016Open AccessArticle
We prove that e＋π is a transcendental number. We use
proof by contradiction. The key to solve the problem is to establish a function
that doesn’t satisfy the relational expression that we derive, thereby produce
a conflicting result which can verify our assumption is incorrect.
Mar 24, 2014Open AccessArticle
In the first part of this work, a convex partition of a compact subset is constructed. Minimumlength surrounding curve and minimumarea surrounding surfaces for a compact set are constructed too. In the second part, one writes the perimeter of an ellipse as the sum of an alternate series. On the other hand, we deduce related “sandwich” inequalities for the perimeter, involving Jensen’s inequality and logarithmic function respectively. We discuss the values of the ordinate of the gravity center ...
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