Results 1 to 10 of about 200 (42)
Extensions of the natural approach to refinements and generalizations of some trigonometric inequalities. [PDF]
Adv Differ Equ, 2018 In this paper we propose a new method for sharpening and refinements of some trigonometric inequalities.
Malešević B +3 more
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The natural algorithmic approach of mixed trigonometric-polynomial problems. [PDF]
J Inequal Appl, 2017 The aim of this paper is to present a new algorithm for proving mixed trigonometric-polynomial inequalities by reducing to polynomial inequalities. Finally, we show the great applicability of this algorithm and as examples, we use it to analyze some new ...
Lutovac T, Malešević B, Mortici C.
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On the generalized Becker-Stark type inequalities
Acta Universitatis Sapientiae: Mathematica, 2021 In this paper, we establish several generalized Becker-Stark type inequalities for the tangent function. We present unified proofs of many inequalities in the existing literature. Graphical illustrations of some obtained results are also presented.
Bagul Yogesh J. +3 more
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On logarithm of circular and hyperbolic functions and bounds for exp(±x2)
Acta Universitatis Sapientiae: Mathematica, 2022 We show that certain known or new inequalities for the logarithm of circular hyperbolic functions imply bounds for exp(±x2) proved in [1].
Sándor József
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Refinements of Some Classical Inequalities Involving Sinc and Hyperbolic Sinc Functions
Annales Mathematicae Silesianae, 2023 Several bounds of trigonometric-exponential and hyperbolic-exponential type for sinc and hyperbolic sinc functions are presented. In an attempt to generalize the results, some known inequalities are sharpened and extended.
Bagul Yogesh J. +3 more
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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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Some Inequalities for Generalized Hyperbolic Functions
Moroccan Journal of Pure and Applied Analysis, 2020 In this paper, we establish several inequalities involving certain generalizations of the hyperbolic functions. The established results serve as generalizations of some known results in the literature.
Nantomah Kwara, Prempeh Edward
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Sharpness of Wilker and Huygens type inequalities [PDF]
, 2012 We present an elementary proof of Wilker's inequality involving trigonometric functions, and establish sharp Wilker and Huygens type inequalities.
Chen, CP, Cheung, WS
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Geometric convexity of the generalized sine and the generalized hyperbolic sine [PDF]
, 2013 In the paper, the authors prove that the generalized sine function $\sin_{p,q}(x)$ and the generalized hyperbolic sine function $\sinh_{p,q}(x)$ are geometrically concave and geometrically convex, respectively.
Jiang, Wei-Dong, Qi, Feng
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Monotonicity results and bounds for the inverse hyperbolic sine [PDF]
, 2009 In this note, we present monotonicity results of a function involving to the inverse hyperbolic sine.
B-N Guo +14 more
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