Generalized Ostrowski, Opial and Hilbert-Pachpatte type inequalities for Banach algebra valued functions involving integer vectorial derivatives
Abstract
Using a generalized vectorial Taylor formula involving ordinary vector derivatives we establish mixed Ostrowski, Opial and Hilbert-Pachpatte type inequalities for several Banach algebra valued functions. The estimates are with respect to all norms k.kp, 1 ≥ p ≥ ∞. We finish with applications.
Publication Title
Journal of Computational Analysis and Applications
Recommended Citation
Anastassiou, G. (2022). Generalized Ostrowski, Opial and Hilbert-Pachpatte type inequalities for Banach algebra valued functions involving integer vectorial derivatives. Journal of Computational Analysis and Applications, 30 (1), 78-94. Retrieved from https://digitalcommons.memphis.edu/facpubs/4791
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