Abstract
Here we study quantitatively the high degree of approximation of sequences of linear operators acting on Banach space valued Fréchet differentiable functions to the unit operator, as well as other basic approximations including ones under convexity.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
G.A. Anastassiou, Moments in Probability and Approximation Theory, vol. 287, Pitman Research Notes in Mathematics (Longman Science & Technology, Harlow, UK, 1993)
G.A. Anastassiou, Lattice homomorphism—Korovkin type inequalities for vector valued functions. Hokkaido Math. J. 26, 337–364 (1997)
G.A. Anastassiou, Multivariate and Abstract Approximation Theory for Banach Space Valued Functions (2017) (submitted)
H. Cartan, Differential Calculus (Hermann, Paris, 1971)
L.B. Rall, Computational Solution of Nonlinear Operator Equations (Wiley, New York, 1969)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2018 Springer International Publishing AG
About this chapter
Cite this chapter
Anastassiou, G.A. (2018). Multivariate Abstract Approximation for Banach Space Valued Functions. In: Intelligent Computations: Abstract Fractional Calculus, Inequalities, Approximations. Studies in Computational Intelligence, vol 734. Springer, Cham. https://doi.org/10.1007/978-3-319-66936-6_10
Download citation
DOI: https://doi.org/10.1007/978-3-319-66936-6_10
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-66935-9
Online ISBN: 978-3-319-66936-6
eBook Packages: EngineeringEngineering (R0)