


Paper's Title:
Application of Equivalence Method to Classify MongeAmpère Equations of Elliptic Type
Author(s):
Moheddine Imsatfia
Email: imsatfia@math.jussieu.fr
Abstract:
In this paper, we apply Cartan's equivalence method to give a local classification of MongeAmpère equations of elliptic type. Then we find a necessary and sufficient conditions such that a MongeAmpère equation is either contactomorphic to the Laplace equation or to an EulerLagrange equation.
Paper's Title:
Ostrowski Type Fractional Integral Inequalities for Generalized (s,m,φ)preinvex Functions
Author(s):
Artion Kashuri and Rozana Liko
University of Vlora "Ismail Qemali",
Faculty of Technical Science,
Department of Mathematics, 9400,
Albania.
Email:
artionkashuri@gmail.com
Email: rozanaliko86@gmail.com
Abstract:
In the present paper, the notion of generalized (s,m,φ)preinvex function is introduced and some new integral inequalities for the left hand side of GaussJacobi type quadrature formula involving generalized (s,m,φ)preinvex functions along with beta function are given. Moreover, some generalizations of Ostrowski type inequalities for generalized (s,m,φ)preinvex functions via RiemannLiouville fractional integrals are established.
Paper's Title:
Ostrowski Type Inequalities for Lebesgue Integral: a Survey of Recent Results
Author(s):
Sever S. Dragomir^{1,2}
^{1}Mathematics, School of Engineering
& Science
Victoria University, PO Box 14428
Melbourne City, MC 8001,
Australia
Email: sever.dragomir@vu.edu.au
^{2}DSTNRF Centre of Excellence in the Mathematical and Statistical Sciences,
School of Computer Science & Applied Mathematics,
University of the Witwatersrand,
Private Bag 3, Johannesburg 2050,
South Africa
URL:
http://rgmia.org/dragomir
Abstract:
The main aim of this survey is to present recent results concerning Ostrowski type inequalities for the Lebesgue integral of various classes of complex and realvalued functions. The survey is intended for use by both researchers in various fields of Classical and Modern Analysis and Mathematical Inequalities and their Applications, domains which have grown exponentially in the last decade, as well as by postgraduate students and scientists applying inequalities in their specific areas.
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