Contents

Chapters in this book

1. Frontmatter I
2. Preface VII
3. Acknowledgment IX
4. Contents XI
5. Acronyms XV
6. Part I: Introduction
7. 1. Preliminaries and notations 3
8. 2. Particular matrices and their connections with formal power series 7
9. Part II: Polynomial sequences of binomial type
10. 3. Binomial polynomial sequences 23
11. 4. Applications to linear interpolation and operators approximation theory 41
12. 5. Examples 47
13. Part III: Appell polynomial sequences
14. 6. Appell polynomial sequences 77
15. 7. Application to linear interpolation and approximation theory 101
16. 8. Examples 107
17. Part IV: Sheffer polynomial sequences
18. 9. Sheffer polynomial sequence 149
19. 10. Applications to linear interpolation and operators approximation theory 167
20. 11. Examples 175
21. Part V: Lidstone polynomial sequences
22. 12. Lidstone-type polynomial sequences 203
23. 13. Application to linear interpolation and operators approximation theory 217
24. 14. Examples 223
25. Bibliography 245
26. Index 255