Results 31 to 40 of about 18,585 (194)
Inequalities for the generalized trigonometric and hyperbolic functions
Open Mathematics, 2020 In this paper, the authors present some inequalities of the generalized trigonometric and hyperbolic functions which occur in the solutions of some linear differential equations and physics.
Ma Xiaoyan +3 more
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Accurate approximations of some expressions involving trigonometric functions
, 2015 The aim of this paper is to apply an original computation method due to Malesevic and Makragic [5] to the problem of approximating some trigonometric functions. Inequalities of Wilker-Cusa-Huygens are discussed, but the method can be successfully applied
Malesevic, Branko +2 more
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Antieigenvalue inequalities in operator theory
International Journal of Mathematics and Mathematical Sciences, 2004 We will prove some inequalities among trigonometric quantities of two and three operators. In particular, we will establish an inequality among joint trigonometric quantities of two operators and trigonometric quantities of each operator. As a corollary,
Morteza Seddighin
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Proof of an inequality for trigonometric polynomials [PDF]
Proceedings of the American Mathematical Society, 1974 Let a trigonometric polynomial have only real roots. An inequality is proved, relating the average value of the trigonometric polynomial between two consecutive roots to its maximal absolute value.
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On a trigonometric inequality of vinogradov
Journal of Number Theory, 1987 For positive integers \(m, n\) with \(m>1\) let \[ f(m,n)=\sum_{a=1}^{m-1}| \sin (\pi an/m)| / | \sin (\pi a/m)|. \] This sum arises in bounding incomplete exponential sums. \textit{I. M. Vinogradov} [Elements of number theory. New York: Dover (1954; Zbl 0057.28201)] showed that \(f(m,n)
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Deep Underground Science and Engineering, EarlyView.An analytical framework delivers a closed‐form stress solution for lined compressed air energy storage chambers, enabling the determination of the minimum safe burial depth. The solution quantitatively evaluates lining support effectiveness, offering a reliable tool for chamber design and optimization.
Zeyuan Sun +3 more
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Approximating trigonometric functions by using exponential inequalities
Journal of Inequalities and Applications, 2019 In this paper, some exponential inequalities are derived from the inequalities containing trigonometric functions. Numerical examples show that one can achieve much tighter bounds than those of prevailing methods, which are presented by Cusa, Huygens ...
Xiao-Diao Chen, Junyi Ma, Yixin Li
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The Impact of Democratization and Globalization on Environmental Sustainability in Brazil
Geological Journal, EarlyView.Fossil fuel, economic globalisation, and economic growth drive environmental degradation while democratisation positively influences environmental quality. ABSTRACT Although Brazil still possesses significant ecological reserves, the surplus in its biocapacity has been rapidly declining in recent years.
Mustafa Naimoğlu +3 more
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FinTech and Environmental Sustainability: Evidence From Brazil
Sustainable Development, EarlyView.ABSTRACT This study explores the dynamic interplay between economic growth and environmental sustainability from a FinTech perspective, using Brazil as a case study. While FinTech's contribution to green transformation, sustainable finance, and resource efficiency has gained increasing attention, a notable lack of empirical research remains to assess ...
Kemal Eyuboglu, Umut Uzar
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Shafer-type inequalities for inverse trigonometric functions and Gauss lemniscate functions
Journal of Inequalities and Applications, 2016 In this paper, we present Shafer-type inequalities for inverse trigonometric functions and Gauss lemniscate functions.
Jun-Ling Sun, Chao-Ping Chen
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