Optimal interpolation formulas in $W_2^{(m,m-1)}$ space
arXiv:1802.005624 citationsh-index: 51
Originality Synthesis-oriented
AI Analysis
Provides a theoretical construction for optimal interpolation in a specific Sobolev space, but is incremental for numerical analysis.
The paper constructs optimal interpolation formulas in the $W_2^{(m,m-1)}(0,1)$ space and provides explicit coefficient formulas with numerical results.
In the present paper optimal interpolation formulas are constructed in $W_2^{(m,m-1)}(0,1)$ space. Explicit formulas for coefficients of optimal interpolation formulas are obtained. Some numerical results are presented.