Some remarks on improved versions of bohr’s inequality

• Mario Guillén Sánchez ^[1] ; Manuel Maestre Vera ^[1] ; Pablo Sevilla Peris ^[1]
  1. [1] Universitat de València

     Universitat de València

     Valencia, España

     
• Localización: Investigaciones DACIU. Ciencias, ISSN-e 3020-8157, Nº. 2, 2023, ISBN 978-84-10237-08-7, págs. 57-62
• Idioma: inglés
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• Resumen

  • This report displays original results that will appear in an extended version in the forthcoming paper [1]. We review a general study of an improved version of the classical Bohr’s inequality. We present a method for proving the sharpness of the constant multiplying a general function, extending this constant to smaller disks and giving a simpler expression to compute such constant. Then, we apply it to recover some previous results.