Results 101 to 110 of about 47,370 (280)

Tracking controller of extended chained nonholonomic systems with matched disturbance and input saturation

IET Control Theory &Applications, Volume 18, Issue 6, Page 710-724, April 2024.
This paper addresses tracking control for an extended chained nonholonomic system under input saturation and matched disturbances. By combining with a finite‐time observer (FTDO), an integral sliding mode saturated controller is designed to make the first subsystem finite‐time stable, which can simplify the design of the second subsystem after a finite
Peng Huang, Yang Gao, Zhongcai Zhang
wiley   +1 more source

Weighted Midpoint Hermite-Hadamard-Fejér Type Inequalities in Fractional Calculus for Harmonically Convex Functions

Fractal and Fractional, 2021
In this paper, we establish a new version of Hermite-Hadamard-Fejér type inequality for harmonically convex functions in the form of weighted fractional integral. Secondly, an integral identity and some weighted midpoint fractional Hermite-Hadamard-Fejér
Humaira Kalsoom, Miguel Vivas-Cortez, Muhammad Amer Latif, Hijaz Ahmad   +3 more
doaj   +1 more source

Abstract Convexity and Hermite-Hadamard Type Inequalities [PDF]

Journal of Inequalities and Applications, 2009
The deriving Hermite-Hadamard type inequalities for certain classes of abstract convex functions are considered totally, the inequalities derived for some of these classes before are summarized, new inequalities for others are obtained, and for one class of these functions the results on are generalized to . By considering a concrete area in , the
Gabil Adilov, Serap Kemali
openaire   +4 more sources

Exploring Advanced Versions of Hermite‐Hadamard and Trapezoid‐Type Inequalities by Implementation of Fuzzy Interval‐Valued Functions

Journal of Function Spaces, Volume 2024, Issue 1, 2024.
The extension of interval‐valued and real‐valued functions known as fuzzy interval‐valued function (FIVF) has made substantial contributions to the theory of interval analysis. In this article, we explore the importance of h‐Godunova‐Levin fuzzy convex and preinvex functions and also develop the new generation of the Hermite‐Hadamard and trapezoid‐type
Yaqun Niu, Rana Safdar Ali, Naila Talib, Shahid Mubeen, Gauhar Rahman, Çetin Yildiz, Fuad A. Awwad, Emad A. A. Ismail, Wilfredo Urbina   +8 more
wiley   +1 more source

New estimates for Hermite–Hadamard–Fejer-type inequalities containing Raina fractional integrals

Boundary Value Problems
The Hermite–Hadamard–Fejér-type inequality is an effective utensil for examining upper and lower estimations of the integrals of convex functions. In this study, the power mean inequality and Hölder inequality are employed.
Maria Tariq, Ammara Nosheen, Khuram Ali Khan, Khadijah M. Abualnaja   +3 more
doaj   +1 more source

On classical inequalities of trigonometric and hyperbolic functions [PDF]

arXiv, 2014
This article is the collection of the six research papers, recently written by the authors. In these papers authors refine the inequalities of trigonometric and hyperbolic functions such as Adamovic-Mitrinovic inequality, Cusa-Huygens inequality, Lazarevic inequality, Huygens inequality, Jordan's inequality, Carlson's inequality, Wilker's inequality ...
arxiv  

The converse of the Hermite–Hadamard inequality on simplices

Expositiones Mathematicae, 2012
AbstractWe prove that the Hermite–Hadamard inequality on simplices characterizes convex functions under some assumptions on the measure.
Flavia-Corina Mitroi, Eleutherius Symeonidis   +1 more
openaire   +2 more sources

New Developments of Hermite–Hadamard Type Inequalities via s‐Convexity and Fractional Integrals

Journal of Mathematics, Volume 2024, Issue 1, 2024.
In this paper, we present an identity for differentiable functions that has played an important role in proving Hermite–Hadamard type inequalities for functions whose absolute values of first derivatives are s‐convex functions. Meanwhile, some Hermite–Hadamard type inequalities for the functions whose absolute values of second derivatives are s‐convex ...
Khuram Ali Khan, Saeeda Fatima, Ammara Nosheen, Rostin Matendo Mabela, Kenan Yildirim   +4 more
wiley   +1 more source

Jensen–Mercer inequality for GA-convex functions and some related inequalities

Journal of Inequalities and Applications, 2020
In this paper, firstly, we prove a Jensen–Mercer inequality for GA-convex functions. After that, we establish weighted Hermite–Hadamard’s inequalities for GA-convex functions using the new Jensen–Mercer inequality, and we establish some new inequalities ...
İmdat İşcan
doaj   +1 more source

Refinements of Hermite-Hadamard inequality for operator convex function

, 2017
In this paper, we present several operator versions of the Hermite-Hadamard inequality for the operator convex function, which are refinements of some operator convex inequalities presented by Dragomir [S. S. Dragomir, Appl. Math.
Junmin Han, Jian-yi Shi
semanticscholar   +1 more source