Results 1 to 10 of about 172 (48)
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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[Retracted] Partial sums of functions of bounded turning
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 1, Page 45-47, 2004., 2004 We determine conditions under which the partial sums of the Libera integral operator of functions of bounded turning are also of bounded turning.
Jay M. Jahangiri, K. Farahmand
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A curious property of series involving terms of generalized sequences
International Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 1, Page 55-63, 2000., 2000 Here we are concerned with series involving generalized Fibonacci numbers Un (p, q) and generalized Lucas numbers Vn (p, q). The aim of this paper is to find triples (p, q, r) for which the series Un (p, q)/rn and Vn (p, q)/rn (for r running from 0 to infinity) are unconcerned at the introduction of the factor n.
Odoardo Brugia, Piero Filipponi
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On some new N‐independent‐variable discrete inequalities of the Gronwall type
International Journal of Mathematics and Mathematical Sciences, Volume 9, Issue 3, Page 485-495, 1986., 1986 In this paper we shall establish some new discrete inequalities of the Gronwall type in N‐independent variables. They will have many applications for finite difference equations involving several independent variables and for numerical analysis. Their consequence for the case of N = 3, generalizes all of the known theorems obtained by Pachpatte and ...
En Hao Yang
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The monotonicity of ratios involving arc tangent function with applications
Open Mathematics, 2019 In this paper, we investigate the monotonicity of the ...
Yang Zhen-Hang, Tin King-Fung, Gao Qin
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The Muirhead-Rado inequality, 2: Symmetric means and inequalities [PDF]
in: Combinatorial and Additive Number Theory VI, Springer, New
York, 2025, pages 347--369, 2022 Preliminary results from Nathanson [5] are used to prove the Muirhead and Rado inequalities.
arxiv