Generalizations of the Jensen-Steffensen and related inequalities
Milica Bakula; Marko Matić; Josip Pečarić
Open Mathematics (2009)
- Volume: 7, Issue: 4, page 787-803
- ISSN: 2391-5455
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topMilica Bakula, Marko Matić, and Josip Pečarić. "Generalizations of the Jensen-Steffensen and related inequalities." Open Mathematics 7.4 (2009): 787-803. <http://eudml.org/doc/269243>.
@article{MilicaBakula2009,
abstract = {We present a couple of general inequalities related to the Jensen-Steffensen inequality in its discrete and integral form. The Jensen-Steffensen inequality, Slater’s inequality and a generalization of the counterpart to the Jensen-Steffensen inequality are deduced as special cases from these general inequalities.},
author = {Milica Bakula, Marko Matić, Josip Pečarić},
journal = {Open Mathematics},
keywords = {Convex functions; Jensen-Steffensen inequality; Slater’s inequality; convex functions; Slater's inequality},
language = {eng},
number = {4},
pages = {787-803},
title = {Generalizations of the Jensen-Steffensen and related inequalities},
url = {http://eudml.org/doc/269243},
volume = {7},
year = {2009},
}
TY - JOUR
AU - Milica Bakula
AU - Marko Matić
AU - Josip Pečarić
TI - Generalizations of the Jensen-Steffensen and related inequalities
JO - Open Mathematics
PY - 2009
VL - 7
IS - 4
SP - 787
EP - 803
AB - We present a couple of general inequalities related to the Jensen-Steffensen inequality in its discrete and integral form. The Jensen-Steffensen inequality, Slater’s inequality and a generalization of the counterpart to the Jensen-Steffensen inequality are deduced as special cases from these general inequalities.
LA - eng
KW - Convex functions; Jensen-Steffensen inequality; Slater’s inequality; convex functions; Slater's inequality
UR - http://eudml.org/doc/269243
ER -
References
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- [9] Pečarić J., A multidimensional generalization of Slater’s inequality, J. Approx. Theory, 1985, 44(3), 292–294 http://dx.doi.org/10.1016/0021-9045(85)90100-5[Crossref]
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