Results 11 to 20 of about 339 (116)
Monotonicity results and inequalities for the inverse hyperbolic sine function [PDF]
Journal of Inequalities and Applications, 2009 In the paper, the authors present monotonicity results of a function involving the inverse hyperbolic sine. From these, the authors derive some inequalities for bounding the inverse hyperbolic sine. MSC:26A48, 26D05, 33B10.
Bai-Ni Guo (郭白妮) +2 more
semanticscholar +5 more sources
Extensions of the natural approach to refinements and generalizations of some trigonometric inequalities. [PDF]
Adv Differ Equ, 2018 In this paper we propose a new method for sharpening and refinements of some trigonometric inequalities.
Malešević B +3 more
europepmc +2 more sources
Some Inequalities for Generalized Hyperbolic Functions
Moroccan Journal of Pure and Applied Analysis, 2020 In this paper, we establish several inequalities involving certain generalizations of the hyperbolic functions. The established results serve as generalizations of some known results in the literature.
Nantomah Kwara, Prempeh Edward
doaj +1 more source
Geometric convexity of the generalized sine and the generalized hyperbolic sine [PDF]
, 2013 In the paper, the authors prove that the generalized sine function $\sin_{p,q}(x)$ and the generalized hyperbolic sine function $\sinh_{p,q}(x)$ are geometrically concave and geometrically convex, respectively.
Jiang, Wei-Dong, Qi, Feng
core +1 more source
On the Fresnel sine integral and the convolution
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 37, Page 2327-2333, 2003., 2003 The Fresnel sine integral S(x), the Fresnel cosine integral C(x), and the associated functions S+(x), S−(x), C+(x), and C−(x) are defined as locally summable functions on the real line. Some convolutions and neutrix convolutions of the Fresnel sine integral and its associated functions with x+r, xr are evaluated.
Adem Kılıçman
wiley +1 more source
On the Fresnel integrals and the convolution
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 41, Page 2635-2643, 2003., 2003 The Fresnel cosine integral C(x), the Fresnel sine integral S(x), and the associated functions C+(x), C−(x), S+(x), and S−(x) are defined as locally summable functions on the real line. Some convolutions and neutrix convolutions of the Fresnel cosine integral and its associated functions with x+r and xr are evaluated.
Adem Kiliçman, Brian Fisher
wiley +1 more source
Diagonal recurrence relations for the Stirling numbers of the first kind [PDF]
, 2015 In the paper, the author presents diagonal recurrence relations for the Stirling numbers of the first kind. As by-products, the author also recovers three explicit formulas for special values of the Bell polynomials of the second kind.Comment: 7 ...
Qi, Feng
core +3 more sources
A survey for generalized trigonometric and hyperbolic functions
Journal of Mathematical Inequalities, 2019 The generalized trigonometric functions which have a short history, were introduced by Lindqvist two decades ago. Since 2012, many mathematician began to study their classical inequalities, general convexity and concavity, multiple-angle formulas and ...
L. Yin +3 more
semanticscholar +1 more source
On some trigonometric power sums
International Journal of Mathematics and Mathematical Sciences, Volume 30, Issue 3, Page 185-191, 2002., 2002 Using the generating function method, the closed formulas for various power sums of trigonometric functions are established. The computer algebra system Maple is used to carry out the complex calculations.
Hongwei Chen
wiley +1 more source
Some properties of the generalized Gaussian ratio and their applications
, 2020 We are devoted to an integral, asymptotic expansion and Maclaurin series representation for the generalized Gaussian ratio, and find their various related properties such as complete monotonicity and some useful inequalities.
Zhen-Hang Yang, B. Xi, Shenzhou Zheng
semanticscholar +1 more source