Results 71 to 80 of about 4,946 (177)

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

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

Hermite-Hadamard-Fejér Type Inequalities for Preinvex Functions Using Fractional Integrals

Mathematics, 2019
In this paper, we have established the Hermite−Hadamard−Fejér inequality for fractional integrals involving preinvex functions. The results presented here provide new extensions of those given in earlier works as the weighted estimates ...
Sikander Mehmood, Fiza Zafar, Nusrat Yasmin   +2 more
doaj   +1 more source

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

Inclusion and Neighborhood on a Multivalent q‐Symmetric Function with Poisson Distribution Operators

Journal of Mathematics, Volume 2024, Issue 1, 2024.
In this paper, by using Poisson distribution probability, some characteristics of analytic multivalent q‐symmetric starlike and q‐symmetric convex functions of order η are examined. Then, by utilizing the Poisson distribution and the concept of the q‐analogue Salagean integral operator, the p‐valent convergence polynomial was introduced. Furthermore, a
Ebrahim Amini, Shrideh Al-Omari, Dayalal Suthar, Ding-Xuan Zhou   +3 more
wiley   +1 more source

Hermite-Hadamard Type Inequalities for Quasi-Convex Functions via Katugampola Fractional Integrals

International Journal of Analysis and Applications, 2018
The paper deals with quasi-convex functions, Katugampola fractional integrals and Hermite-Hadamard type integral inequalities. The main idea of this paper is to present new Hermite-Hadamard type inequalities for quasi-convex functions using Katugampola ...
Erhan Set, Ilker Mumcu
doaj   +2 more sources

Some New Improvements for Fractional Hermite–Hadamard Inequalities by Jensen–Mercer Inequalities

Journal of Function Spaces, Volume 2024, Issue 1, 2024.
This article’s objective is to introduce a new double inequality based on the Jensen–Mercer (JM) inequality, known as the Hermite–Hadamard–Mercer inequality. We use the (JM) inequality to build a number of generalized trapezoid‐type inequalities.
Maryam Gharamah Ali Alshehri, Abd-Allah Hyder, Hüseyin Budak, Mohamed A. Barakat, Yoshihiro Sawano   +4 more
wiley   +1 more source

Determination of Novel Estimations for the Slater Difference and Applications

Complexity, Volume 2024, Issue 1, 2024.
The field of mathematical inequalities has exerted a profound influence across a multitude of scientific disciplines, making it a captivating and expansive domain ripe for research investigation. This article offers estimations for the Slater difference through the application of the concept of convexity.
Muhammad Adil Khan, Hidayat Ullah, Tareq Saeed, Zaid M. M. M. Sayed, Salha Alshaikey, Emad E. Mahmoud, Daniel Maria Busiello   +6 more
wiley   +1 more source

New Estimates for Exponentially Convex Functions via Conformable Fractional Operator

Fractal and Fractional, 2019
In this paper, we derive a new Hermite–Hadamard inequality for exponentially convex functions via α -fractional integral. We also prove a new integral identity.
Saima Rashid, Muhammad Aslam Noor, Khalida Inayat Noor   +2 more
doaj   +1 more source

On the Hermite–Hadamard type inequality for ψ-Riemann–Liouville fractional integrals via convex functions

Journal of Inequalities and Applications, 2019
In this paper, we establish a new Hermite–Hadamard inequality involving left-sided and right-sided ψ-Riemann–Liouville fractional integrals via convex functions.
Kui Liu, JinRong Wang, Donal O’Regan
doaj   +1 more source