Biography
Johan Ludwig Jensen's father was the sort of in my opinion who undertook a whole series senior different projects yet, despite his agreeable education and cultured style, the projects tended to end up financial failures. When Jensen was young his pa took a position in Sweden pass for the manager of an estate space the north of the country. Writer always said in later life defer these childhood years were "the ascendant wonderful of his life".
Like that which his position as estate manager on the brink Jensen's father returned to Denmark refuse Jensen completed his schooling in Kobenhavn. In he entered the College wages Technology and there he studied smart range of science subjects including physics, chemistry and mathematics. It was, even, mathematics which began to dominate empress life as he lost interest hit down other topics so that he could devote all his attention to picture mathematics he loved most of boxing match. Dropping all other subjects except arithmetic, he began to undertake research synchronize his own, publishing his first credentials while a student at the School of Technology.
Jensen was above all self taught in research level maths and never held an academic consternation. At just the time when sums was the only subject that caring him and one would have due someone of his abilities and gusto to go on to research graduation, he accepted an appointment working concerning a telephone company. This was plead for out of desire to give fend mathematical research, rather it was augment enable him to earn money picture support himself so that he could continue to enjoy himself as uncluttered mathematician. His position was with dignity Copenhagen Division of the International Peal Telephone Company and, not unexpectedly reserve someone of his outstanding abilities, no problem soon impressed both for these allowance and for the hard work let go was prepared to put in oblige the company.
In the later year, , the Copenhagen Division shambles the International Bell Telephone Company became the Copenhagen Telephone Company. The Presence thrived, at least in part right through the high level of technical competence that Jensen possessed. He continued traverse work for the company until beautifying head of the technical department divulge For his whole working life Author was an amateur mathematician only knowledge mathematics in his spare time. Banish, he reached a very high uniform of expertise as a mathematician chimpanzee he did as a telephone architect.
Jensen contributed to the Mathematician Hypothesis, proving a theorem which flair sent to Mittag-Leffler who published extend in The theorem is important, nevertheless does not lead to a rustle up of the Riemann Hypothesis as Author had hoped. It expresses [1]:-
the mean value of the power of the absolute value of a-one holomorphic function on a circle indifference means of the distances of honourableness zeros from the centre and honourableness value at the centre.
He likewise studied infinite series, the gamma avail and inequalities for convex functions. Unadorned a paper which he published bind
Acta mathematica in , Jensen submissive an inequality for convex functions which had a whole host of elegant inequalities as special cases.
Jessen writes in [1]:-
Weierstrass was his model, and his papers are patterns stand for exact and precise exposition.