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New Refinements of Cusa-Huygens Inequality
In the paper, we refine and extend Cusa-Huygens inequality by simple functions. In particular, we determine sharp bounds for \(\sin x /x\) ...
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Double-Sided Taylor’s Approximations and Their Applications in Theory of Trigonometric Inequalities
In this paper the double-sided Taylor’s approximations are used to obtain generalisations and improvements of some trigonometric inequalities.
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Article
Some Notes on a Method for Proving Inequalities by Computer
In this article we consider mathematical fundamentals of one method for proving inequalities by computer, based on the Remez algorithm. Using the well-known results of undecidability of the existence of zeros ...