V. Babenko, V. Babenko, O. Kovalenko, N. Parfinovych
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General form of $(\lambda,\varphi)$-additive operators on spaces of $L$-space-valued functions
The goal of the article is to characterize continuous $(\lambda,\varphi)$-additive operators acting on measurable bounded functions with values in $L$-spaces. As an application, we prove a sharp Ostrowski type inequality for such operators.