M. Riesz-Schur-type inequalities for entire functions of exponential type [PDF]
arXiv, 2014 We prove a general M. Riesz-Schur-type inequality for entire functions of exponential type.
arxiv
Generalized Huygens types inequalities for Bessel and modified Bessel functions [PDF]
arXiv, 2016 In this paper, we present a generalization of the Huygens types inequalities involving Bessel and modified Bessel functions of the first kind.
arxiv
On the weighted Ostrowski type integral inequality for double integrals [PDF]
arXiv, 2010 In this paper, we establish new an inequality of weighted Ostrowski-type for double integrals involving functions of two independent variables by using fairly elementary analysis.
arxiv
An Optimal Two Parameter Bounds for the Identric Mean [PDF]
arXiv, 2012 In this note we obtain sharp bounds for the identric mean in terms of a two parameter family of means. Our results generalize and extend recent bounds due to Y. M. Chu & al. (2011), and to M.-K. Wang & al. (2012).
arxiv
Some new Hermite-Hadamard-type inequalities for strongly h-convex functions on co-ordinates
Open MathematicsIn this article, we study some Hermite-Hadamard-type inequalities for strongly hh-convex functions on co-ordinates in Rn{{\mathbb{R}}}^{n}, which extend some known results. Some mappings connected with these inequalities and related applications are also
Hong Weizhi +3 more
doaj +1 more source
A look at generalized trigonometric functions as functions of their two parameters and further new properties [PDF]
Investigation of the generalized trigonometric and hyperbolic functions containing two parameters has been a very active research area over the last decade. We believe, however, that their monotonicity and convexity properties with respect to parameters have not been thoroughly studied. In this paper, we make an attempt to fill this gap.
arxiv +1 more source
A Computer Proof of Turan's Inequality [PDF]
arXiv, 2005 We show how Turan's inequality $P_n(x)^2-P_{n-1}(x)P_{n+1}(x)\geq 0$ for Legendre polynomials and related inequalities can be proven by means of a computer procedure. The use of this procedure simplifies the daily work with inequalities. For instance, we have found the stronger inequality $|x|P_n(x)^2-P_{n-1}(x)P_{n+1}(x)\geq 0$, $-1\leq x\leq 1 ...
arxiv
Predictive dynamical modeling and stability of the equilibria in a discrete fractional difference COVID-19 epidemic model. [PDF]
Results Phys, 2023 Chu YM +6 more
europepmc +1 more source
Polynomial selections and separation by polynomials [PDF]
Studia Math. 120 (1996), 75-82, 2008 Necessary and sufficient conditions under which two real functions defined on the real interval can be separated by a polynomial are given. An immediate consequence of the main result is the existence of the polynomial separation of convex functions of higher order. Another application is some Hyers-Ulam-stability-type result.
arxiv
Some properties of the psi and polygamma functions [PDF]
Bai-Ni Guo and Feng Qi, Some properties of the psi and polygamma
functions, Hacettepe Journal of Mathematics and Statistics 39 (2010), no. 2,
219--231, 2009 In this paper, some monotonicity and concavity results of several functions involving the psi and polygamma functions are proved, and then some known inequalities are extended and generalized.
arxiv