Abstract
We derive some Hermite Hamamard type integral inequalities for functions whose second derivatives absolute value are convex. Some eror estimates for the trapezoidal formula are obtained. Finally, some natural applications to special means of real numbers are given.
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2010 Mathematics Subject Classification. 26D15, 41A55, 52A41.
a Department of Mathematics, Faculty of Science, Bartin University, BARTIN-TURKEY e-mail: erdensmt@gmail.com
b Department of Mathematics, Faculty of Science and Arts, Düzce University, Konuralp Campus, Düzce-TURKEY e-mail: sarikayamz@gmail.com
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Erden, S., Sarikaya, M. New Hermite Hadamard type inequalities for twice differentiable convex mappings via Green function and applications. Moroc J Pure Appl Anal 2, 9 (2016). https://doi.org/10.7603/s40956-016-0009-x
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DOI: https://doi.org/10.7603/s40956-016-0009-x