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| Content Provider | Springer Nature Link |
|---|---|
| Author | Sidon, J. Leviatan, D. |
| Copyright Year | 2014 |
| Abstract | Let $${f \in C[-\omega, \omega]}$$ , $${0 < \omega < \pi}$$ , be nonlinear and nondecreasing. We wish to estimate the degree of approximation of f by trigonometric polynomials that are nondecreasing in $${[-\omega, \omega]}$$ . We obtain estimates involving the second modulus of smoothness of f and show that one in general cannot have estimates with the third modulus of smoothness. |
| Ending Page | 887 |
| Page Count | 11 |
| Starting Page | 877 |
| File Format | |
| ISSN | 16605446 |
| e-ISSN | 16605454 |
| Journal | Mediterranean Journal of Mathematics |
| Issue Number | 3 |
| Volume Number | 12 |
| Language | English |
| Publisher | Springer Basel |
| Publisher Date | 2014-08-26 |
| Publisher Place | Basel |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | monotone functions Inequalities in approximation (Bernstein, Jackson, Nikol'skiÄ-type inequalities) Approximation with constraints degree of approximation Mathematics Trigonometric approximation Rate of convergence, degree of approximation Trigonometric polynomial approximation |
| Content Type | Text |
| Resource Type | Article |
| Subject | Mathematics |
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