Some new inequalities of Hermite–Hadamard type for GA-convex functions
Journal Title: Annales Universitatis Mariae Curie-Skłodowska. Sectio A, Mathematica - Year 2018, Vol 72, Issue 1
Abstract
Some new inequalities of Hermite–Hadamard type for GA-convex functions defined on positive intervals are given. Refinements and weighted version of known inequalities are provided. Some applications for special means are also obtained.
Authors and Affiliations
Sever S. Dragomir
Keywords
Related Articles
- EP ID EP530463
- DOI 10.17951/a.2018.72.1.55
- Views 80
- Downloads 0
Generalized trend constants of Lipschitz mappings
In 2015, Goebel and Bolibok defined the initial trend coefficient of a mapping and the class of initially nonexpansive mappings. They proved that the fixed point property for nonexpansive mappings implies the fixed point...
The Riemann-Cantor uniqueness theorem for unilateral trigonometric series via a special version of the Lusin-Privalov theorem
Using Baire's theorem, we give a very simple proof of a special version of the Lusin-Privalov theorem and deduce via Abel's theorem the Riemann-Cantor theorem on the uniqueness of the coefficients of pointwise converge...
An existence and approximation theorem for solutions of degenerate nonlinear elliptic equations
The main result establishes that a weak solution of degenerate nonlinear elliptic equations can be approximated by a sequence of solutions for non-degenerate nonlinear elliptic equations.
On almost polynomial structures from classical linear connections
Let Mfm be the category of m-dimensional manifolds and local diffeomorphisms and let T be the tangent functor on Mfm. Let V be the category of real vector spaces and linear maps and let Vm be the category of m-dimensiona...
The natural operators of general affine connections into general affine connections
We reduce the problem of describing all Mfm-natural operators transforming general affine connections on m-manifolds into general affine ones to the known description of all GL(Rm)-invariant maps Rm∗⊗Rm→⊗kRm∗⊗⊗kRm for k...