Results 11 to 20 of about 6,587,055 (247)
Certain inequalities for the modified Bessel-type function
Journal of Inequalities and Applications, 2019 We establish some new inequalities for the modified Bessel-type function λν,σ(β)(x) $\lambda _{\nu ,\sigma }^{(\beta )} (x )$ studied by Glaeske et al. [in J. Comput. Appl. Math.
Min-Jie Luo, Ravinder Krishna Raina
doaj +2 more sources
Turán-Type Inequalities for Bessel, Modified Bessel and Kr ̈tzel Functions
Journal of Kufa for Mathematics and Computer, 2018 We establish Turán-type inequalities for Bessel functions, modified Bessel functions, Kr ̈tzel function and Beta function, by using a new form of Cauchy–Bunyakovsky–Schwarz inequality.
Piyush Kumar Bhandari, S. K. Bissu
doaj +2 more sources
Unified Bessel, Modified Bessel, Spherical Bessel and Bessel-Clifford Functions
, 2016 In the present paper, unification of Bessel, modified Bessel, spherical Bessel and Bessel-Clifford functions via the generalized Pochhammer symbol [ Srivastava HM, Cetinkaya A, Kıymaz O. A certain generalized Pochhammer symbol and its applications to hypergeometric functions. Applied Mathematics and Computation, 2014, 226 : 484-491] is defined. Several
Yasar, Banu Yilmaz, Ozarslan, Mehmet Ali
openaire +4 more sources
Bounds for modified bessel functions [PDF]
Rendiconti del Circolo Matematico di Palermo, 1991 Aus Monotonieeigenschaften von \(I_{v+1}/I_ v\) und \(K_{v+1}/K_ v\) werden Schranken für \(I_ v\) und \(K_ v\) gewonnen und diskutiert.
Ifantis, E. K., Siafarikas, P. D.
core +4 more sources
Functional inequalities for modified Bessel functions [PDF]
Expositiones Mathematicae, 2011 In this paper our aim is to show some mean value inequalities for the modified Bessel functions of the first and second kinds. Our proofs are based on some bounds for the logarithmic derivatives of these functions, which are in fact equivalent to the corresponding Turán type inequalities for these functions.
Baricz, Árpád +2 more
openaire +4 more sources
Jordan type inequalities involving the Bessel and modified Bessel functions [PDF]
Computers & Mathematics with Applications, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ling Zhu, Zhu, Ling
openaire +4 more sources
Inequalities involving Bessel and modified Bessel functions [PDF]
Journal of Mathematical Analysis and Applications, 1990 The authors define a self-adjoint and compact operator whose eigenvalues are given by \(\pm 2/j_{\nu k}\), where \(j_{\nu k}\) is the kth positive zero of the Bessel function \(J_{\nu}(x)\) of the first kind. Using operator techniques the authors derive some lower and upper bounds for \(J_{\nu +1}(x)/J_{\nu}(x)\) and \(I_{\nu +1}(x)/I_{\nu}(x)\), where
Ifantis, E.K., Siafarikas, P.D.
openaire +2 more sources
An integral containing a Bessel Function and a Modified Bessel Function of the First Kind [PDF]
, 2017 Here we discuss the calculation of an integral containing the Bessel function J0(r) and the modified Bessel function of the first kind I1(r). The calculus is based on a function of J0(r), I1(r) and of their derivatives, having a Wronskian form. The method here described could be useful for training the students in the manipulation of such integrals.
Sparavigna, Amelia Carolina +1 more
openaire +3 more sources
Discrete index transforms with Bessel and modified Bessel functions [PDF]
Analysis, 2022 Abstract Discrete analogues of the index transforms, involving Bessel and the modified Bessel functions, are introduced and investigated. The corresponding inversion theorems for suitable classes of functions and sequences are established.
Yakubovich, Semyon
core +4 more sources
Geometric Nature of the Turánian of Modified Bessel Function of the First Kind
AxiomsThis work explores the geometric properties of the Turanian of the modified Bessel function of the first kind (TMBF). Using the properties of the digamma function, we establish conditions under which the normalized TMBF satisfies starlikeness, convexity,
Samanway Sarkar +3 more
doaj +2 more sources