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

IF 4.1 3区 数学 Q1 Mathematics Advances in Difference Equations Pub Date : 2018-01-01 Epub Date: 2018-03-14 DOI:10.1186/s13662-018-1545-7
Branko Malešević, Tatjana Lutovac, Marija Rašajski, Cristinel Mortici
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引用次数: 45

Abstract

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 type.

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自然方法对某些三角不等式的改进和推广的扩展。
本文提出了一种新的三角不等式的锐化和精化方法。我们将这些思想应用于一些Wilker-Cusa-Huygens型不等式。
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4-8 weeks
期刊介绍: The theory of difference equations, the methods used, and their wide applications have advanced beyond their adolescent stage to occupy a central position in applicable analysis. In fact, in the last 15 years, the proliferation of the subject has been witnessed by hundreds of research articles, several monographs, many international conferences, and numerous special sessions. The theory of differential and difference equations forms two extreme representations of real world problems. For example, a simple population model when represented as a differential equation shows the good behavior of solutions whereas the corresponding discrete analogue shows the chaotic behavior. The actual behavior of the population is somewhere in between. The aim of Advances in Difference Equations is to report mainly the new developments in the field of difference equations, and their applications in all fields. We will also consider research articles emphasizing the qualitative behavior of solutions of ordinary, partial, delay, fractional, abstract, stochastic, fuzzy, and set-valued differential equations. Advances in Difference Equations will accept high-quality articles containing original research results and survey articles of exceptional merit.
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