Results 81 to 90 of about 18,585 (194)
A Nice Separation of Some Seiffert-Type Means by Power Means
International Journal of Mathematics and Mathematical Sciences, 2012 Seiffert has defined two well-known trigonometric means denoted by 𝒫 and 𝒯. In a similar way it was defined by Carlson the logarithmic mean ℒ as a hyperbolic mean. Neuman and Sándor completed the list of such means by another hyperbolic mean ℳ. There are
Iulia Costin, Gheorghe Toader
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Integral inequalities for trigonometric polynomials in periodic Morrey spaces
Современная математика: Фундаментальные направленияIn this paper, we present a detailed exposition of Bernstein’s inequality, inequalities of different metrics and different dimensions for trigonometric polynomials in periodic Morrey spaces.
D. J. Joseph
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GENERALIZED GUDERMANNIAN FUNCTION
Проблемы анализа, 2018 Wilker and Huygens-type inequalities involving generalized Gudermannian function and its inverse function are established. These results are obtained with the aid of the p-version of the Schwab-Borchardt mean.
Neuman Edward
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Some Identities and inequalities related to the Riemann zeta function
Moroccan Journal of Pure and Applied Analysis, 2019 A new proof of Euler’s formular for calculating ζ(2k) is given. Some new inequalities and identities for ζ(2k + 1) have also been given. The Riemann’s functional equation together with trigonometric identities were used to establish the results.
Abe-I-Kpeng Gregory +2 more
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On the p-Version of the Schwab-Borchardt Mean
International Journal of Mathematics and Mathematical Sciences, 2014 This paper deals with a one-parameter generalization of the Schwab-Borchardt mean. The new mean is defined in terms of the inverse functions of the generalized trigonometric and generalized hyperbolic functions.
Edward Neuman
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On Applicability of the Relaxation Spectrum of Fractional Maxwell Model to Description of Unimodal Relaxation Spectra of Polymers. [PDF]
Polymers (Basel), 2023 Stankiewicz A.
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Convex functions and inequalities in the secondary school
Lietuvos Matematikos Rinkinys, 2008 A function f : Df → R is called convex if for any x, y ∈ Df the inequality f ( x+y/2 ) \leq (f (x)+f (y) )/2 holds. We prove the main property of the convex fonctions (inequality (4)) and also the inequalities which the arithmetic, geometric, harmonic ...
Juozas Šinkūnas
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Trigonometric and Hyperbolic Inequalities
, 2011 We prove various new trigonometric and hyperbolic inequalities of Jordan, Wilker, Huygens or Cusa-Huygens type. Connections with bivariate means, as well as monotonicity and convexity properties are pointed out, too.
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Solutions of two open problems on inequalities involving trigonometric and hyperbolic functions
CuboIn 2019, Bagul et al. posed two open problems dealing with inequalities involving trigonometric and hyperbolic functions and an adjustable parameter. This article is an attempt to solve these open problems.
Rupali Shinde +2 more
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A separation of some Seiffert-type means by power means
Journal of Numerical Analysis and Approximation Theory, 2012 Consider the identric mean \(\mathcal{I}\), the logarithmic mean \(\mathcal{L,}\) two trigonometric means defined by H. J. Seiffert and denoted by \(\mathcal{P}\) and \(\mathcal{T,}\) and the hyperbolic mean \(\mathcal{M}\) defined by E.
Iulia Costin, Gheorghe Toader
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