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20132019
most citedExtensions of the natural approach to refinements and generalizations of some trigonometric inequalities

50 citations · 110 across the 8 of their papers we have counts for

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8 papers

math.CA2019

Double-sided Taylor's approximations and their applications in theory of trigonometric inequalities

Branko Malesevic, Tatjana Lutovac, Marija Rasajski +1

In this paper the double-sided Talor's approximations are used to obtain generalisations and improvements of some trigonometric inequalities.

math.CA2018

Double-sided Taylor's approximations and their applications in Theory of analytic inequalities

Branko Malesevic, Marija Rasajski, Tatjana Lutovac

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 t…

math.CA2018★ 13 cited

About some exponential inequalities related to the sinc function

Marija Rasajski, Tatjana Lutovac, Branko Malesevic

In this paper we prove some exponential inequalities involving the sinc function. We analyze and prove inequalities with constant exponents as well as inequalities with certain pol…

math.CA2018★ 14 cited

A new method for proving some inequalities related to several special functions

T. Lutovac, B. Malesevic, M. Rasajski

In this paper we present a new approach to proving some exponential inequalities involving the sinc function. Power series expansions are used to generate new polynomial inequaliti…

math.CA2017★ 50 cited

Extensions of the natural approach to refinements and generalizations of some trigonometric inequalities

Branko Malesevic, Tatjana Lutovac, Marija Rasajski +1

In this paper we propose a new method for sharpening and refinements of some trigonometric inequalities. We apply these ideas to some inequalities of Wilker-Cusa-Huygens's type.

math.CA2017★ 20 cited

Sharpening and Generalizations of Shafer-Fink and Wilker Type Inequalities: a New Approach

Marija Rasajski, Tatjana Lutovac, Branko Malesevic

In this paper we propose and prove some generalizations and sharpenings of certain inequalities of Wilker;'s and Shafer-Fink's type. Application of the Wu-Debnath theorem enabled u…