| Title:
|
Mean value theorems for divided differences and approximate Peano derivatives (English) |
| Author:
|
Mukhopadhyay, S. N. |
| Author:
|
Ray, S. |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
134 |
| Issue:
|
2 |
| Year:
|
2009 |
| Pages:
|
165-171 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Several mean value theorems for higher order divided differences and approximate Peano derivatives are proved. (English) |
| Keyword:
|
mean value |
| Keyword:
|
higher order divided difference |
| Keyword:
|
approximate Peano derivative |
| Keyword:
|
$n$-convex function |
| MSC:
|
26A24 |
| MSC:
|
26A99 |
| idZBL:
|
Zbl 1212.26075 |
| idMR:
|
MR2535144 |
| DOI:
|
10.21136/MB.2009.140651 |
| . |
| Date available:
|
2010-07-20T17:56:00Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/140651 |
| . |
| Reference:
|
[1] Bruckner, A. M.: Differentiation of Real Functions.Lect. Notes Math., Springer, New York (1978). Zbl 0382.26002, MR 0507448 |
| Reference:
|
[2] Bullen, P. S.: A criterion for $n$-convexity.Pacific J. Math. 36 (1971), 81-98. Zbl 0194.08602, MR 0274681, 10.2140/pjm.1971.36.81 |
| Reference:
|
[3] Bullen, P. S., Mukhopadhyay, S. N.: Properties of Baire$^*$-1 Darboux functions and some mean value theorems for Peano derivatives.Math. Jap. 36 (1991), 309-316. Zbl 0726.26002, MR 1095745 |
| Reference:
|
[4] Evans, M. J.: $L_p$ derivatives and approximate Peano derivatives.Trans. Amer. Math. Soc. 165 (1972), 381-388 . MR 0293030 |
| Reference:
|
[5] Mukhopadhyay, S. N.: On the approximate Peano derivatives.Fund. Math. 88 (1975), 133-143. Zbl 0307.26007, MR 0376974 |
| . |
