Results 91 to 100 of about 4,997 (220)

Inequalities of Hermite-Hadamard type for HG-convex functions [PDF]

open access: yesIssues of Analysis, 2017
Abstract Some inequalities of Hermite-Hadamard type for GA-convex functions defined on positive intervals are given.
Sever S Dragomir, Sever S Dragomir
openaire   +15 more sources

Polynomial‐exponential equations — Some new cases of solvability

open access: yesProceedings 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

Further refinements of the Cauchy-Schwarz inequality for matrices [PDF]

open access: yes, 2014
Let $A, B$ and $X$ be $n\times n$ matrices such that $A, B$ are positive semidefinite. We present some refinements of the matrix Cauchy-Schwarz inequality by using some integration techniques and various refinements of the Hermite--Hadamard inequality ...
Bakherad, Mojtaba
core  

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

open access: yesMathematical 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

The converse of the Hermite–Hadamard inequality on simplices

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

Abstract Convexity and Hermite-Hadamard Type Inequalities [PDF]

open access: yesJournal 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

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

open access: yesIET 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

open access: yesJournal 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   +8 more
wiley   +1 more source

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

open access: yesMathematics, 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   +2 more
doaj   +1 more source

On Certain Integral Inequalities Related to Hermite–Hadamard Inequalities

open access: yesJournal of Mathematical Analysis and Applications, 1999
The authors establish some new Hermite-Hadamard inequalities for real convex functions on \([a,b]\), generalizing known results of this type.
Kuei-Lin Tseng   +2 more
openaire   +3 more sources

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