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Sharpness and generalization of Shafer's inequality

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We sharpen and generalize Shafer's inequality for the inverse tangent function.

Abstract

We sharpen and generalize Shafer's inequality for the inverse tangent function.

참고문헌 (7)

  1. G.D. Anderson, "Generalized elliptic in-tegral and modular equations", Pacific J. Math, 192, pp.1~37 (2000)
  2. G.D.Anderson, "Conformal Invariants, Inequalities, and Quasiconformal Maps" (1997)
  3. "Monotonicity of Some Functions in Calculus"[URL]
  4. C.-P. Chen, "On Shafer and Carlson Inequalities", J. Ineq. Appl, 2011 (2011)
  5. F. Qi, "Sharpening and generalizations of Shafer's inequality for the arc tangent function", J. Ineq. Appl, 2009 (2009)
  6. R.E. Shafer, "Problem E1867", Amer. Math. Monthly, 73, pp.309~ (1966)
  7. R.E. Shafer, "Problems and solutions: Solutions of elementary problems: E1867", Amer. Math. Monthly, 74, pp.726~727 (1967)

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