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math.CAFeb 19, 2009
28
citations (OpenAlex)
authors
  • Feng Qi
  • Bai-Ni Guo
arXiv abstractPDF
paper

Sharpening and generalizations of Shafer's inequality for the arc tangent function

arXiv:0902.3298 · doi:10.1155/2009/930294

Abstract

In this paper, we sharpen and generalize Shafer's inequality for the arc tangent function. From this, some known results are refined.

References in corpus (3)

  • Sharpening and generalizations of Shafer-Fink's double inequality for the arc sine function
  • Sharpening and generalizations of Shafer's inequality for the arc tangent function
  • Sharpening and generalizations of Carlson's inequality for the arc cosine function

Cited by in corpus (10)

  • Sharpening and generalizations of Shafer-Fink's double inequality for the arc sine function
  • Sharpening and generalizations of Shafer's inequality for the arc tangent function
  • Some notes on a method for proving inequalities by computer
  • Refined estimates and generalizations of inequalities related to the arctangent function and Shafer's inequality
  • Sharpening and generalizations of Carlson's inequality for the arc cosine function
  • A Sharp Double Inequality for the Inverse Tangent Function
  • Inequalities for the fundamental Robin eigenvalue of the Laplacian for box-shaped domains
  • A concise proof of Oppenheim's double inequality relating to the cosine and sine functions
  • Monotonicity results and bounds for the inverse hyperbolic sine
  • A generalization of the Shafer-Fink inequality
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