Iterated g-Fractional Vector Bochner Integral 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 Poincaré type inequalities, fractional Opial type inequalities and fractional Hilbert-Pachpatte inequalities. All these inequalities are very general having in their background Bochner type integrals. See also[4].
Publication Title
Studies in Systems, Decision and Control
Recommended Citation
Anastassiou, G. (2021). Iterated g-Fractional Vector Bochner Integral Representation Formulae and Inequalities for Banach Space Valued Functions. Studies in Systems, Decision and Control, 305, 201-221. https://doi.org/10.1007/978-3-030-56962-4_10
COinS
