Mean value theorems for divided differences and approximate Peano derivatives
Satya Narayan Mukhopadhyay; S. Ray
Mathematica Bohemica (2009)
- Volume: 134, Issue: 2, page 165-171
- ISSN: 0862-7959
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topMukhopadhyay, Satya Narayan, and Ray, S.. "Mean value theorems for divided differences and approximate Peano derivatives." Mathematica Bohemica 134.2 (2009): 165-171. <http://eudml.org/doc/38083>.
@article{Mukhopadhyay2009,
abstract = {Several mean value theorems for higher order divided differences and approximate Peano derivatives are proved.},
author = {Mukhopadhyay, Satya Narayan, Ray, S.},
journal = {Mathematica Bohemica},
keywords = {mean value; higher order divided difference; approximate Peano derivative; $n$-convex function; mean value; higher order divided difference; approximate Peano derivative; -convex function},
language = {eng},
number = {2},
pages = {165-171},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Mean value theorems for divided differences and approximate Peano derivatives},
url = {http://eudml.org/doc/38083},
volume = {134},
year = {2009},
}
TY - JOUR
AU - Mukhopadhyay, Satya Narayan
AU - Ray, S.
TI - Mean value theorems for divided differences and approximate Peano derivatives
JO - Mathematica Bohemica
PY - 2009
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 134
IS - 2
SP - 165
EP - 171
AB - Several mean value theorems for higher order divided differences and approximate Peano derivatives are proved.
LA - eng
KW - mean value; higher order divided difference; approximate Peano derivative; $n$-convex function; mean value; higher order divided difference; approximate Peano derivative; -convex function
UR - http://eudml.org/doc/38083
ER -
References
top- Bruckner, A. M., Differentiation of Real Functions, Lect. Notes Math., Springer, New York (1978). (1978) Zbl0382.26002MR0507448
- Bullen, P. S., 10.2140/pjm.1971.36.81, Pacific J. Math. 36 (1971), 81-98. (1971) Zbl0194.08602MR0274681DOI10.2140/pjm.1971.36.81
- 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. (1991) Zbl0726.26002MR1095745
- Evans, M. J., derivatives and approximate Peano derivatives, Trans. Amer. Math. Soc. 165 (1972), 381-388 . (1972) MR0293030
- Mukhopadhyay, S. N., On the approximate Peano derivatives, Fund. Math. 88 (1975), 133-143. (1975) Zbl0307.26007MR0376974
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