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math.CANov 10, 2017
13
citations (OpenAlex)
authors
  • Branko Malesevic
  • Marija Rasajski
  • Tatjana Lutovac
institutions
  • University of Belgrade
arXiv abstractPDF
paper

Refined estimates and generalizations of inequalities related to the arctangent function and Shafer's inequality

arXiv:1711.03786 · doi:10.1155/2018/4178629

Abstract

In this paper we give some sharper refinements and generalizations of inequalities related to Shafer's inequality for the arctangent function, stated in Theorems 1, 2 and 4 in [1], by C. Mortici and H.M. Srivastava.

References in corpus (4)

  • A Method of Proving a Class of Inequalities of Mixed Trigonometric Polynomial Functions
  • The natural algorithmic approach of mixed trigonometric-polynomial problems
  • A proof of an open problem of Yusuke Nishizawa for a power-exponential function
  • A proof of two conjectures of Chao-Ping Chen for inverse trigonometric functions

Cited by in corpus (4)

  • Extensions of the natural approach to refinements and generalizations of some trigonometric inequalities
  • Sharpening and Generalizations of Shafer-Fink and Wilker Type Inequalities: a New Approach
  • One method for proving some classes of exponential analytic inequalities
  • Some improvements of Jordan-Steckin and Becker-Stark inequalities
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