Results 31 to 40 of about 496,864 (207)

Inequalities for Modified Bessel Functions [PDF]

open access: yesMathematics of Computation, 1974
A sequence of sharp versions of the inequality I v + 1 ( x ) > I v ( x ) , v > − 1 2
openaire   +2 more sources

On a Sum of Modified Bessel Functions [PDF]

open access: yesMediterranean Journal of Mathematics, 2013
In this paper we consider a sum of modified Bessel functions of the first kind of which particular case is used in the study of Kanter's sharp modified Bessel function bound for concentrations of some sums of independent symmetric random vectors. We present some monotonicity and convexity properties for that sum of modified Bessel functions of the ...
Baricz, Árpád, Pogány, Tibor K.
openaire   +4 more sources

On Ostrowski–Mercer’s Type Fractional Inequalities for Convex Functions and Applications

open access: yesFractal and Fractional, 2023
This research focuses on the Ostrowski–Mercer inequalities, which are presented as variants of Jensen’s inequality for differentiable convex functions. The main findings were effectively composed of convex functions and their properties. The results were
Soubhagya Kumar Sahoo   +4 more
doaj   +1 more source

Absorption Cross Section of Scalar Field in Supergravity Background [PDF]

open access: yes, 2000
It has recently been shown that the equation of motion of a massless scalar field in the background of some specific p branes can be reduced to a modified Mathieu equation.
Aharony   +29 more
core   +3 more sources

Extension of Oppenheim's Problem to Bessel Functions

open access: yesJournal of Inequalities and Applications, 2008
Our aim is to extend some trigonometric inequalities to Bessel functions. Moreover, we deduce the hyperbolic analogue of these trigonometric inequalities, and we extend these inequalities to modified Bessel functions.
Ling Zhu, Árpád Baricz
doaj   +1 more source

Extrapolation of Electromagnetic Response from Linear Antennas in Time Domain without Late-Time Instabilities in Numerical Solution of EFI Equation

open access: yesJournal of Telecommunications and Information Technology, 2020
The paper presents a new hybrid method relied upon to solve integral equations of the electric field in time domain and to model linear antennas with pulse excitation.
Anna Witenberg
doaj   +1 more source

On some integrals of products of cylindrical functions

open access: yesФизика волновых процессов и радиотехнические системы, 2019
For a number of solutions to problems of a multilayer optical fiber, the field of which in each layer is described by the sum of the corresponding Bessel functions, integrals of the products of these functions are of interest.
V.A. Burdin
doaj   +1 more source

New index transforms with the product of Bessel functions [PDF]

open access: yes, 2015
New index transforms are investigated, which contain as the kernel products of the Bessel and modified Bessel functions. Mapping properties and invertibility in Lebesgue spaces are studied for these operators.
Yakubovich, Semyon
core   +2 more sources

A New Expression for the Coulomb Potential Corresponding to the Product of Two Exponential Functions Based on the Properties of the Integral Representations of the Bessel Functions

open access: yesTrends in Computational and Applied Mathematics, 2023
The calculation of the Coulomb Potential corresponding to the product of two Exponential Type Functions, inherently has numerical challenges that must be resolved.
C. J. Alturria Lanzardo   +4 more
doaj   +1 more source

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