Abstract
Let X and Y be real normed linear spaces and let φ: X → R be a non-negative function satisfying φ(x + y) ≤ φ(x) + ∥y∥ for all x, y ∈ X. We obtain estimates for optimal constants, whose existence is proven, and present applications to polynomials and multilinear mappings in normed spaces.
Original language | English |
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Pages (from-to) | 476-486 |
Number of pages | 11 |
Journal | Journal of Mathematical Analysis and Applications |
Volume | 208 |
Issue number | 2 |
DOIs | |
State | Published - 1997 |
ASJC Scopus subject areas
- Analysis
- Applied Mathematics