Some Inequalities for Derivatives of Trigonometric and Algebraic Polynomials
| Autor: | Michael Felten, Theodore Kilgore |
|---|---|
| Rok vydání: | 1996 |
| Předmět: |
Pure mathematics
Pythagorean trigonometric identity Applied Mathematics Mathematics::Classical Analysis and ODEs Trigonometric substitution Order (ring theory) Proofs of trigonometric identities Algebra symbols.namesake Identity (mathematics) Mathematics (miscellaneous) Orthogonal polynomials symbols Trigonometry Lp space Mathematics |
| Zdroj: | Results in Mathematics. 30:79-92 |
| ISSN: | 1420-9012 0378-6218 |
| DOI: | 10.1007/bf03322182 |
| Popis: | We investigate inequalities for derivatives of trigonometric and algebraic polynomials in weighted LP spaces with weights satisfying the Muckenhoupt Ap condition. The proofs are based on an identity of Balazs and Kilgore [1] for derivatives of trigonometric polynomials. Also an inequality of Brudnyi in terms of rth order moduli of continuity ωr will be given. We are able to give values to the constants in the inequalities. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full text from SpringerLink