Jovan Karamata - Legacy

Legacy

Karamata published 122 scientific papers, 15 monographs and text-books as well as 7 professional-pedagogical papers.

Karamata is best known for his work on mathematical analysis. He introduced the notion of regularly varying function, and discovered a new class of theorems of Tauberian type, today known as Karamata's tauberian theorems. He also worked on Mercer's theorems, Froullani’s integrals, and other topics in analysis. In 1935 he introduced the brackets and braces notation for Stirling numbers (analogous to the binomial coefficients notation), which is now known as Karamata notation. He is also cited for Karamata's inequality.

In Serbia, Karamata founded the "Karamata's (Yugoslav) school of mathematics”. Today, Karamata is the most frequently cited Serbian mathematician. He is the developer and co-developer of dozens of mathematical theorems and has a lasting influence in 20th-century mathematics.

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