Results 21 to 30 of about 18,466 (195)
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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Fractal and Fractional, 2023 This article extends the study of q-versions of analytic functions by introducing and studying the association of starlike functions with trigonometric cosine functions, both defined in their q-versions.
Yusra Taj +5 more
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New Refinements and Improvements of Some Trigonometric Inequalities Based on Padé Approximant
Journal of Mathematics, 2020 A multiple-point Padé approximant method is presented for approximating and bounding some trigonometric functions in this paper. We give new refinements and improvements of some trigonometric inequalities including Jordan’s inequality, Kober’s inequality,
Lina Zhang, Xuesi Ma
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Nikol’skii–Type Inequalities for Trigonometric Polynomials for Lorentz–Zygmund Spaces
Journal of Function Spaces, 2020 Nikol’skii–type inequalities, that is inequalities between different metrics of trigonometric polynomials on the torus Td for the Lorentz–Zygmund spaces, are obtained. The results of previous paper “Nikol’skii inequalities for Lorentz–Zygmund spaces” are
Leo R. Ya. Doktorski
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Padé approximant related to remarkable inequalities involving trigonometric functions
Journal of Inequalities and Applications, 2016 In this paper we, respectively, give simple proofs of some remarkable trigonometric inequalities, based on the Padé approximation method. We also obtain rational refinements of these inequalities.
Gabriel Bercu
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On Huygens' Inequalities and the Theory of Means
International Journal of Mathematics and Mathematical Sciences, 2012 By using the theory of means, various refinements of Huygens' trigonometric and hyperbolic inequalities will be proved. New Huygens' type inequalities will be provided, too.
József Sándor
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Padé approximants for inverse trigonometric functions and their applications
Journal of Inequalities and Applications, 2017 The Padé approximation is a useful method for creating new inequalities and improving certain inequalities. In this paper we use the Padé approximant to give the refinements of some remarkable inequalities involving inverse trigonometric functions, it is
Shanhe Wu, Gabriel Bercu
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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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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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Inequalities for trigonometric polynomials
Journal of Approximation Theory, 1991 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Department of Mathematics, University of Florida, Gainesville, Florida 32611, U.S.A. ( host institution ) +1 more
openaire +2 more sources