Double-sided Taylor's approximations and their applications in Theory of analytic inequalities
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approximationsdouble-sidedtayloranalyticapplicationsinequalitiestheoryintroduced
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In this paper the double-sided Taylor's approximations are studied. A short proof of a well-known theorem on the double-sided Taylor's approximations is introduced. Also, two new theorems are proved regarding the monotonicity of such approximations. Then we present some new applications of the double-sided Taylor's approximations in the theory of analytic inequalities.
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