Sharpening and generalizations of Shafer-Fink and Wilker type inequalities: a new approach

DOI10.22436/jnsa.011.07.02zbMath1438.33002arXiv1712.03772OpenAlexW2796039033MaRDI QIDQ5225426

Tatjana Lutovac, Marija Rašajski, Branko J. Malešević

Publication date: 22 July 2019

Published in: Journal of Nonlinear Sciences and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.03772

zbMATH Keywords

generalizationsharpeninginequalities of Wilker's and Shafer-Fink's type

Mathematics Subject Classification ID

Inequalities for trigonometric functions and polynomials (26D05) Exponential and trigonometric functions (33B10)

Related Items (12)

New bounds for the exponential function with cotangent ⋮ About some exponential inequalities related to the sinc function ⋮ Wilker and Huygens type inequalities for mixed trigonometric-hyperbolic functions ⋮ One method for proving some classes of exponential analytical inequalities ⋮ New sharp inequalities of Mitrinovic-Adamovic type ⋮ Double–Sided Taylor’s Approximations and Their Applications in Theory of Analytic Inequalities ⋮ Extensions of the natural approach to refinements and generalizations of some trigonometric inequalities ⋮ Double-Sided Taylor’s Approximations and Their Applications in Theory of Trigonometric Inequalities ⋮ A new method for proving some inequalities related to several special functions ⋮ Approximating trigonometric functions by using exponential inequalities ⋮ Generalizations and improvements of approximations of some analytic functions: a survey ⋮ New inequalities for quotients of circular and hyperbolic functions

Cites Work

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• A generalization of L'Hospital-type rules for monotonicity and its application
• A subtly analysis of Wilker inequality
• Extensions of the natural approach to refinements and generalizations of some trigonometric inequalities
• New approximations of some expressions involving trigonometric functions
• Sharp refinements for the inverse sine function related to Shafer-Fink's inequality
• The natural algorithmic approach of mixed trigonometric-polynomial problems
• A method for proving some inequalities on mixed trigonometric polynomial functions
• Topics in Special Functions III
• A method for proving some inequalities on mixed hyperbolic-trigonometric polynomial functions
• Inequalities
• Analytic Inequalities

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