Results 61 to 70 of about 44,177 (224)

Polynomial‐exponential equations — Some new cases of solvability

Proceedings of the London Mathematical Society, Volume 129, Issue 4, October 2024.
Abstract Recently, Brownawell and the second author proved a ‘non‐degenerate’ case of the (unproved) ‘Zilber Nullstellensatz’ in connexion with ‘Strong Exponential Closure’. Here, we treat some significant new cases. In particular, these settle completely the problem of solving polynomial‐exponential equations in two complex variables.
Vincenzo Mantova, David Masser
wiley   +1 more source

Some Hermite-Hadamard and midpoint type inequalities in symmetric quantum calculus

AIMS Mathematics
The Hermite-Hadamard inequalities are common research topics explored in different dimensions. For any interval $ [\mathrm{b_{0}}, \mathrm{b_{1}}]\subset\Re $, we construct the idea of the Hermite-Hadamard inequality, its different kinds, and its ...
Saad Ihsan Butt, Muhammad Nasim Aftab , Hossam A. Nabwey, Sina Etemad   +3 more
doaj   +1 more source

Ostrowski type inequalities for harmonically s-convex functions [PDF]

, 2013
The author introduces the concept of harmonically s-convex functions and establishes some Ostrowski type inequalities and Hermite-Hadamard type inequality of these classes of functions.Comment: 11 ...
Iscan, Imdat
core  

On the mean‐square solution to the Legendre differential equation with random input data

Mathematical Methods in the Applied Sciences, Volume 47, Issue 6, Page 5341-5347, April 2024.
In this short note, we investigate a linear stochastic differential equation from mathematical physics, driven by parametric uncertainty. Given the Legendre differential equation with random inputs, the goal is to give a proof of a conjecture posed in a recent paper, concerning the power‐series solution in a Lebesgue sense.
Marc Jornet
wiley   +1 more source

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

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  

On some integral inequalities for s-geometrically convex functions and their applications [PDF]

, 2012
In this paper, we establish three inequalities for differentiable s-geometrically and geometrically convex functions which are connected with the famous Hermite-Hadamard inequality holding for convex functions.
Tunc, Mevlut
core  

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