Axioms (May 2022)

Bounds for Quotients of Inverse Trigonometric and Inverse Hyperbolic Functions

  • Sumedh B. Thool,
  • Yogesh J. Bagul,
  • Ramkrishna M. Dhaigude,
  • Christophe Chesneau

DOI
https://doi.org/10.3390/axioms11060262
Journal volume & issue
Vol. 11, no. 6
p. 262

Abstract

Read online

We establish new simple bounds for the quotients of inverse trigonometric and inverse hyperbolic functions such as sin−1xsinh−1x and tanh−1xtan−1x. The main results provide polynomial bounds using even quadratic functions and exponential bounds under the form eax2. Graph validation is also performed.

Keywords