CONSTRUCTION OF SLOWLY INCREASING FUNCTIONS

• Ando Hiroshi

  Department of Mathematics Ibaraki University

• Horiuchi Toshio

  Department of Mathematics Ibaraki University

• Nakai Eiichi

  Department of Mathematics Ibaraki University

Abstract

We construct a continuous and bijective function L : (0,∞) → (−∞,∞) which is increasing slower than any nth iterate of logarithmic function. Further, we construct a function which is increasing slower than any nth iterate of L. Using our method, we can construct more and more slowly increasing functions.

Journal

• Scientiae Mathematicae Japonicae

  Scientiae Mathematicae Japonicae 75 (2), 187-201, 2012

  International Society for Mathematical Sciences

Keywords

• logarithm
• super logarithm
• slowly increasing function
• rapidly increasing function

Details

• CRID: 1390845713076388608
• NII Article ID: 130007663411
• DOI: 10.32219/isms.75.2_187
• ISSN: 13460447
• Text Lang: en
• Data Source:
  • JaLC
  • CiNii Articles
  • KAKEN
  • Crossref
• Abstract License Flag: Disallowed