Abstract
Versions of Markov’s inequality for Müntz spaces, both in C[a,b] and L p [0, 1], are given in the first section of this chapter. Bernstein- and Nikolskii-type inequalities are treated in the exercises, as are various other inequalities for Müntz polynomials and exponential sums. The second section provides inequalities, including most significantly a Remez-type inequality, for nondense Müntz spaces.
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
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1995 Springer-Verlag New York, Inc.
About this chapter
Cite this chapter
Borwein, P., Erdélyi, T. (1995). Inequalities in Müntz Spaces. In: Polynomials and Polynomial Inequalities. Graduate Texts in Mathematics, vol 161. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-0793-1_6
Download citation
DOI: https://doi.org/10.1007/978-1-4612-0793-1_6
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-94509-5
Online ISBN: 978-1-4612-0793-1
eBook Packages: Springer Book Archive