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New refinements of Becker-Stark and Cusa-Huygens inequalities via trigonometric polynomials method. (English) Zbl 1462.26015

Summary: The aim of this paper is to provide new refinements of Becker-Stark inequality and Cusa-Huygens inequality using trigonometric polynomial method. It is shown that the approach proposed is useful for establishing new inequalities and refining some existing inequalities.

MSC:

26D05 Inequalities for trigonometric functions and polynomials
26D15 Inequalities for sums, series and integrals
41A21 Padé approximation
42B05 Fourier series and coefficients in several variables
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