1 citations · 1 across the 6 of their papers we have counts for
7 papers · 1 filter
Simpson's Rule Revisited
Slavko Simic
In this article we give some refinements of Simpson's Rule in cases when it is not applicable in it's classical form i.e., when the target function is not four times differentiable…
Some Generalizations of Jensen's Inequality
Slavko Simic
In this article we give some improvements and generalizations of the famous Jensen's and Jensen-Mercer inequalities for twice differentiable functions, where convexity property of…
Some refinements of Hermite-Hadamard inequality and an open problem
Slavko Simic
We presented here a refinement of Hermite-Hadamard inequality as a linear combination of its end-points. The problem of best possible constants is closely connected with well known…
On a convexity property
Slavko Simic
In this article we proved an interesting property of the class of continuous convex functions. This leads to the form of pre-Hermite-Hadamard inequality which in turn admits a gene…
On a Hierarchy of Means
Slavko Simic
For a class of partially ordered means we introduce a notion of the (nontrivial) cancelling mean. A simple method is given which helps to determine cancelling means for well known…
On some intermediate mean values
Slavko Simic
We give a necessary and sufficient mean condition for the quotient of two Jensen functionals and define a new class of mean values where are continuously dif…