@Article{Micherda2015,
author = "Micherda, Bartosz",
title = "A new characterization of convex φ-functions with a parameter",
journal = "Opuscula Math.",
year = "2015",
volume = "35",
number = "2",
pages = "191--197",
doi = "http://dx.doi.org/10.7494/OpMath.2015.35.2.191",
url = "http://dx.doi.org/10.7494/OpMath.2015.35.2.191",
abstract = "We show that, under some additional assumptions, all projection operators onto latticially closed subsets of the Orlicz-Musielak space generated by \(\Phi\) are isotonic if and only if \(\Phi\) is convex with respect to its second variable. A dual result of this type is also proven for antiprojections. This gives the positive answer to the problem presented in Opuscula Mathematica in 2012.",
keywords = "Orlicz-Musielak space, convex function, isotonic operator, projection operator, antiprojection operator",
issn = "1232-9274"
}