In this paper, we give converses of the Jensen and Edmundson– Lah–Ribarič inequalities which are more accurate than the existing ones. These converses are given in a difference form and they rely on the recent refinement of the Jensen inequality obtained via linear interpolation of a convex function. As an application, we also derive improved converse relations for generalized means, for the Hö...

*Correspondence: [email protected] 2Department of Mathematics, University of Zagreb, Zagreb, Croatia Full list of author information is available at the end of the article Abstract We consider quasilinearity of the functional (h ◦ v) · ( ◦ gv ), where is a monotone h-concave (h-convex) function, v and g are functionals with certain super(sub)additivity properties. Those general results are appli...

In this paper, we provide inequalities of Jensen-Ostrowski type, by investigating the magnitude of the quantity ∫ Ω (f ◦ g) dμ− f(ζ)− ∫ Ω (g − ζ)f ′ ◦ g dμ+ 1 2 λ ∫ Ω (g − ζ) dμ, for various assumptions on the absolutely continuous function f : [a, b] → C, ζ ∈ [a, b], λ ∈ C and a μ-measurable function g on Ω. Special cases are considered to provide some inequalities of Jensen type, as well as O...

The purpose of this paper is to derive some criteria for vectorial prequasi-invex type functions via Jensen type inequalities. It is shown that a Jensen type inequality is sufficient and necessary for a vector function to be prequasi-invex under the condition of lower levelclosedness, cone lower semicontinuity, cone upper semicontinuity and semistrict prequasi-invexity, respectively. Analogous ...

Memory impairment is one of the main features of post-traumatic stress disorder (PTSD),There are multiple studies in memory impairment and cognitive function such as memory in a variety of explicit memory, implicit, procedural, active, declarative, revermid ,working, visual, false and autobiographical. The methodology of systematic review were, meta-analyzes and controlled studies of sites Med ...

We investigate a family of MϕA-h-convex functions, give some properties it and several inequalities which are counterparts to the classical such as Jensen inequality Schur inequality. weighted Hermite-Hadamard for an function estimations product two functions.

memory impairment is one of the main features of post-traumatic stress disorder (ptsd),there are multiple studies in memory impairment and cognitive function such as memory in a variety of explicit memory, implicit, procedural, active, declarative, revermid ,working, visual, false and autobiographical. the methodology of systematic review were, meta-analyzes and controlled studies of sites med ...

In this paper, the definition of harmonically cr-h-convex function is given, and its important properties are discussed. Jensen type inequality, Hermite–Hadamard inequalities Fejér for functions also established. addition, some numerical examples given to verify accuracy results.