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A Generalization of Bohr-Mollerup's Theorem for Higher Order Convex Functions
Pada tahun 1922, Harald Bohr dan Johannes Mollerup membuat karakterisasi fungsi gamma Euler yang luar biasa menggunakan sifat log-konveksitasnya. Satu dekade kemudian, Emil Artin menyelidiki hasil ini dan menggunakannya untuk memperoleh sifat dasar fungsi gamma menggunakan metode dasar kalkulus. Teorema Bohr-Mollerup kemudian diadopsi oleh Nicolas Bourbaki sebagai titik awal untuk pemaparannya …
- Edition
- 1
- ISBN/ISSN
- 978-3-030-95088-0
- Collation
- 1 online resource ( XVIII, 323 Pages)
- Series Title
- -
- Call Number
- 515.5 MAR g
A Generalization of Bohr-Mollerup's Theorem for Higher Order Convex Functions
In 1922, Harald Bohr and Johannes Mollerup established a remarkable characterization of the Euler gamma function using its log-convexity property. A decade later, Emil Artin investigated this result and used it to derive the basic properties of the gamma function using elementary methods of the calculus. Bohr-Mollerup's theorem was then adopted by Nicolas Bourbaki as the starting point for his …
- Edition
- 1
- ISBN/ISSN
- 978-3-030-95088-0
- Collation
- -
- Series Title
- Developments in Mathematics
- Call Number
- XVIII, 323
Metric Modular Spaces
Aimed toward researchers and graduate students familiar with elements of functional analysis, linear algebra, and general topology; this book contains a general study of modulars, modular spaces, and metric modular spaces. Modulars may be thought of as generalized velocity fields and serve two important purposes: generate metric spaces in a unified manner and provide a weaker convergence, the m…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-25281-0
- Collation
- XIII, 137
- Series Title
- SpringerBriefs in Mathematics
- Call Number
- -
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