Generalizations of the trapezoid inequalities based on a new mean value theorem for the remainder in Taylor's formula.
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only], Tome 7 (2006) no. 3.

Voir la notice de l'article dans European Digital Mathematics Library

Classification : 26D15
Mots-clés : classical trapezoid inequality, perturbed trapezoid inequality, mean value theorem, generalizations 
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     author = {Kechriniotis, A.I. and Assimakis, N.D.},
     title = {Generalizations of the trapezoid inequalities based on a new mean value theorem for the remainder in {Taylor's} formula.},
     journal = {JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]},
     publisher = {mathdoc},
     volume = {7},
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     year = {2006},
     zbl = {1182.26057},
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Kechriniotis, A.I.; Assimakis, N.D. Generalizations of the trapezoid inequalities based on a new mean value theorem for the remainder in Taylor's formula.. JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only], Tome 7 (2006) no. 3. https://geodesic-test.mathdoc.fr/item/JIPAM_2006__7_3_116849/