Results 101 to 110 of about 10,331,496 (319)

Some New Simple Inequalities Involving Exponential, Trigonometric and Hyperbolic Functions

Cubo (Temuco), 2019
The prime goal of this paper is to establish sharp lower and upper bounds for useful functions such as the exponential functions, with a focus on exp(−x2), the trigonometric functions (cosine and sine) and the hyperbolic functions (cosine and sine).
Yogesh J. Bagul, C. Chesneau
semanticscholar   +1 more source

Predefined‐Time Dynamic Surface Control of Tank Horizontal Stabilization System With Disturbance

International Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT Modern new tanks are difficult to achieve high precision control of the horizontal stabilization system due to electromechanical coupling and road surface disturbance during high‐speed combat. A predefined‐time dynamic surface controller (DSCPT) is proposed for the fast stabilization and strong disturbance problems of the tank horizontal ...
Zhicheng Fan, Shusen Yuan, Wenxiang Deng, Haoqi Wen, Haochuan Sun, Jianyong Yao   +5 more
wiley   +1 more source

Discrete Least-norm Approximation by Nonnegative (Trigonomtric) Polynomials and Rational Functions [PDF]

Polynomials, trigonometric polynomials, and rational functions are widely used for the discrete approximation of functions or simulation models.Often, it is known beforehand, that the underlying unknown function has certain properties, e.g.
Hertog, D. den, Klerk, E. de, Siem, A.Y.D.   +2 more
core   +1 more source

An Improved Mesh Stiffness Model for a Gear Tooth With Double Cracks on Both Sides Considering Opened and Closed States

International Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT Research on the failure mechanisms of gears with multiple cracks has gained widespread attention. Among these, the study of the mesh stiffness characteristics of gears with multiple cracks is crucial for optimizing gear design and improving transmission reliability.
Luyan Xu, Xin Yu, Yunyun Sun
wiley   +1 more source

Padé approximant related to remarkable inequalities involving trigonometric functions

, 2016
In this paper we, respectively, give simple proofs of some remarkable trigonometric inequalities, based on the Padé approximation method. We also obtain rational refinements of these inequalities.
G. Bercu
semanticscholar   +1 more source

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, Li-Guo Huang, Yong-Li Wang, Xiuli Lin   +3 more
semanticscholar   +1 more source

A Constitutive Model Allowing for Particle Size‐Shape Coevolution

International Journal for Numerical and Analytical Methods in Geomechanics, EarlyView.
ABSTRACT This paper presents a constitutive model developed within the Continuum Breakage Mechanics (CBM) framework. The proposed model explicitly accounts for particle shape evolution during the compression of crushable granular materials. Most importantly, the proposed formulation includes a novel expression of the dissipation function that enables a
Divyanshu Lal, Giuseppe Buscarnera
wiley   +1 more source

On Some Cauchy Type Mean-Value Theorems with Applications

Communications in Advanced Mathematical Sciences
Some Cauchy-type mean-value theorems for Chebychev’s inequality, Steffensen’s inequality, midpoint rule, and Simpson’s rule are presented. Furthermore, we give some applications for the obtained results using the exponential and logarithmic functions ...
Uğur Selamet Kırmacı
doaj   +1 more source

A Novel Fractional‐Order Predictive PI Controller Approach for the Systems With Noninteger Order Delay

Optimal Control Applications and Methods, EarlyView.
Hybrid Algorithm‐Based Optimal FOPI Controller in Three‐phase UPQC system ABSTRACT Time delay (TD) is a common phenomenon in practical systems. Most studies have focused on the classical notion of integer‐order TD. However, it should not be neglected that the delay can also be noninteger.
Erdinç Şahin
wiley   +1 more source

Thermal Evaluation of 3D‐Printed Triply Periodic Minimal Surface Compact Heat Exchanger Using Hexagonal Boron Nitride Photopolymeric Composite

Polymer Composites, EarlyView.
Investigation of Thermal Behavior in 3D‐Printed TPMS Heat Exchangers utilizing h‐BN Photopolymeric Composites. ABSTRACT This study reports the first investigation of the thermal behavior of compact heat exchangers (HXs) with complex geometries 3D‐printed using a photopolymeric composite as the base material.
Gabriel Benedet Dutra, Elaine Valendorfe Ferreira, Carlos Eduardo Bibow Corrêa, Kleber Vieira de Paiva, Eduardo Bader Dalfovo Mohr Alves, Mariana Barreto da Cunha, Jader Riso Barbosa Jr.   +6 more
wiley   +1 more source