Results 11 to 20 of about 18,585 (194)

Refining trigonometric inequalities by using Padé approximant [PDF]

Journal of Inequalities and Applications, 2018
A two-point Padé approximant method is presented for refining some remarkable trigonometric inequalities including the Jordan inequality, Kober inequality, Becker–Stark inequality, and Wu–Srivastava inequality. Simple proofs are provided.
Zhen Zhang, Huaqing Shan, Ligeng Chen
doaj   +2 more sources

Some Wilker and Cusa type inequalities for generalized trigonometric and hyperbolic functions [PDF]

Journal of Inequalities and Applications, 2018
The authors obtain some Wilker and Cusa type inequalities for generalized trigonometric and hyperbolic functions and generalize some known inequalities.
Li-Guo Huang, Li Yin, Yong-Li Wang, Xiu-Li Lin   +3 more
doaj   +2 more sources

Weighted inequalities for generalized polynomials with doubling weights

Journal of Inequalities and Applications, 2017
Many weighted polynomial inequalities, such as the Bernstein, Marcinkiewicz, Schur, Remez, Nikolskii inequalities, with doubling weights were proved by Mastroianni and Totik for the case 1 ≤ p < ∞ $1 \leq p < \infty$ , and by Tamás Erdélyi for 0 < p ≤ 1 $
Haewon Joung
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 a trigonometric inequality of Turán

Journal of Approximation Theory, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alzer, Horst, Fuglede, Bent
openaire   +2 more sources

New Masjed Jamei–Type Inequalities for Inverse Trigonometric and Inverse Hyperbolic Functions

Mathematics, 2022
In this paper, we establish two new inequalities of the Masjed Jamei type for inverse trigonometric and inverse hyperbolic functions and apply them to obtain some refinement and extension of Mitrinović–Adamović and Lazarević inequalities.
Ling Zhu
doaj   +1 more source

Subperiodic Dubiner distance, norming meshes and trigonometric polynomial optimization [PDF]

, 2018
We extend the notion of Dubiner distance from algebraic to trigonometric polynomials on subintervals of the period, and we obtain its explicit form by the Szego variant of Videnskii inequality.
Vianello, Marco
core   +1 more source

Extension of Oppenheim's Problem to Bessel Functions

Journal 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

Several Double Inequalities for Integer Powers of the Sinc and Sinhc Functions with Applications to the Neuman–Sándor Mean and the First Seiffert Mean

Axioms, 2022
In the paper, the authors establish a general inequality for the hyperbolic functions, extend the newly-established inequality to trigonometric functions, obtain some new inequalities involving the inverse sine and inverse hyperbolic sine functions, and ...
Wen-Hui Li, Qi-Xia Shen, Bai-Ni Guo
doaj   +1 more source

Sharpness of Wilker and Huygens type inequalities [PDF]

, 2012
We present an elementary proof of Wilker's inequality involving trigonometric functions, and establish sharp Wilker and Huygens type inequalities.
Chen, CP, Cheung, WS
core   +1 more source