Open AccessGeneralized Fractional Ostrowski and Grüss type inequalities involving several Banach algebra valued function
Author(s) -
George A. Anastassiou
Publication year - 2022
Publication title -
integración/revista integración, temas de matemáticas
Language(s) - English
Resource type - Journals
eISSN - 2145-8472
pISSN - 0120-419X
DOI - 10.18273/revint.v40n1-2022007
Subject(s) - mathematics , pure mathematics , type (biology) , banach algebra , algebra over a field , inequality , fractional calculus , function (biology) , banach space , mathematical analysis , ecology , evolutionary biology , biology
Using generalized Caputo fractional left and right vectorial Taylor formulae, we establish mixed fractional Ostrowski and Grüss type inequalities involving several Banach algebra valued functions. The estimates are with respect to all norms ∥·∥p, 1 ≤p ≤∞.