holds. This inequality can be traced back to Jensen’s original papers [, ] and is one of the most fundamental mathematical inequalities. One reason for that is that in fact a great number of classical inequalities can be derived from (.), see e.g. [] and the references given therein. The inequality (.) cannot in general be improved since we have equality in (.) when φ(x)≡ x. However, f...

The classical Jensen inequality for concave function φ is adapted for the Sugeno integral using the notion of the subdifferential. Some examples in the framework of the Lebesgue measure to illustrate the results are presented.

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...

Tests for pleural tuberculosis are insensitive and expensive. We compared nonproprietary microscopic-observation drug-susceptibility (MODS) culture with Löwenstein-Jensen culture for evaluation of pleural specimens. MODS culture was associated with greatly increased diagnostic sensitivity and shorter time to diagnosis, compared with Löwenstein-Jensen culture (sensitivity of culture of biopsy sp...

*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...

The efficiency of four culture media was compared for the isolation of Mycobacterium avium complex from 197 procine tissues. In 82 tissues with microscopic granulomas and acid-fast bacilli, a significantly greater number of isolates were obtained on Middlebrook 7H10 medium with sodium pyruvate than on Stonebrink medium, Herrold egg yolk agar medium, or Lowenstein-Jensen medium (P=0.01). In 46 t...

In this paper, we develop a new graph kernel by using the quantum Jensen-Shannon divergence and the discrete-time quantum walk. To this end, we commence by performing a discrete-time quantum walk to compute a density matrix over each graph being compared. For a pair of graphs, we compare the mixed quantum states represented by their density matrices using the quantum Jensen-Shannon divergence. ...

Distributional semantics tries to characterize the meaning of words by the contexts in which they occur. Similarity of words hence can be derived from the similarity of contexts. Contexts of a word are usually vectors of words appearing near to that word in a corpus. It was observed in previous research that similarity measures for the context vectors of two words depend on the frequency of the...