Iterated G-Fractional vector representation formulae and inequalities for banach space valued functions
Abstract
Here we present very general iterated fractional Bochner integral representation formulae for Banach space valued functions. Based on these we derive generalized and iterated left and right: fractional Poincaŕe type inequalities, fractional Opial type inequalities and fractional Hilbert-Pachpatte inequalities. All these inequalities are very general having in their background Bochner type integrals.
Publication Title
Problemy Analiza
Recommended Citation
Anastassiou, G. (2020). Iterated G-Fractional vector representation formulae and inequalities for banach space valued functions. Problemy Analiza, 9-27 (1), 3-26. https://doi.org/10.15393/j3.art.2020.7630
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