Results 21 to 30 of about 1,947 (192)
Bounds for an integral of the modified Bessel function of the first kind and expressions involving it [PDF]
Journal of Mathematical Analysis and Applications, 2021 18 ...
openaire +4 more sources
On approximating the modified Bessel function of the first kind and Toader-Qi mean [PDF]
Journal of Inequalities and Applications, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhen-Hang Yang, Yu-Ming Chu
openaire +3 more sources
Powers of modified Bessel functions of the first kind
Applied Mathematics Letters, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +1 more source
Monotonicity and convexity of the ratios of the first kind modified Bessel functions and applications [PDF]
Mathematical Inequalities & Applications, 2018 Let $I_{v}\left( x\right) $ be modified Bessel functions of the first kind. We prove the monotonicity property of the function $x\mapsto I_{u}\left( x\right) I_{v}\left( x\right) /I_{\left( u+v\right) /2}\left( x\right) ^{2}$ on $\left( 0,\infty \right) $.
Yang, Zhen-Hang, Zheng, Shen-Zhou
openaire +2 more sources
New Sharp Bounds for the Modified Bessel Function of the First Kind and Toader-Qi Mean [PDF]
Mathematics, 2020 Let I v x be he modified Bessel function of the first kind of order v. We prove the double inequality sinh t t cosh 1 / q q t < I 0 t < sinh t t cosh 1 / p p t holds for t > 0 if and only if p ≥ 2 / 3 and q ≤ ln 2 / ln π .
Zhen-Hang Yang +2 more
openaire +2 more sources
Oil & Gas Science and Technology, 2006 Une méthode de calcul des fonctions In et Kn (fonctions de Bessel modifiées de première et deuxième espèce) à arguments complexes est présentée. Cette méthode conçue pour des ordinateurs vectoriels permet un gain notable de temps de calcul par rapport ...
Quiblier J.
doaj +1 more source
SOME INEQUALITIES AND ABSOLUTE MONOTONICITY FOR MODIFIED BESSEL FUNCTIONS OF THE FIRST KIND
Communications of the Korean Mathematical Society, 2016 Abstract. By employing a refined version of the P´olya type integralinequality and other techniques, the authors establish some inequalitiesand absolute monotonicity for modified Bessel functions of the first kindwith nonnegative integer order. 1. Main resultsIt is well known that modified Bessel functions of the first kind I ±ν (z) aresolutions of the ...
Bai-Ni Guo, Qi, Feng
openaire +2 more sources
IEEE Access, 2018 In this paper, a polarization vector distance based signal extraction (PVD-SE) method for full-duplex primary users (FD-PUs) oriented cognitive radio networks (CRN) is studied. The problem of primary signal extraction in FD-PUs oriented CRN boils down to
Dongming Li, Dengyin Zhang, Xuejian Zhao
doaj +1 more source
Functional inequalities involving Bessel and modified Bessel functions of the first kind
Expositiones Mathematicae, 2008 Since the sine and cosine functions and the hyperbolic sine and cosine functions are particular cases of Bessel and modifed Bessel functions, the author extends the inequality \(\cosh x-1\), where \(\Gamma\) is Euler gamma function and \(I_{p}(x)\) is the modified Bessel function of first kind. Some properties and inequalities satisfied by \(G_{p}(x)\)
openaire +2 more sources
Advanced Materials, EarlyView.Azobenzene photoswitches translate molecular‐scale E/Z photoisomerization into macroscopic material responses and device‐level photonic functions. This Review highlights how azobenzene research has evolved from molecular photochemistry to photoalignment, mass migration, photomechanics, and heat release, ultimately enabling holography, reconfigurable ...
Heeju Son +20 more
wiley +1 more source