New inequalities of hermite-hadamard type for convex functions with applications

By Havva Kavurmaci, M. Avci, M. Özdemir. 2010

136 citations recorded by the source corpus.

In this paper, some new inequalities of the Hermite-Hadamard type for functions whose modulus of the derivatives are convex and applications for special means are given. Finally, some error estimates for the trapezoidal formula are obtained.2000 Mathematics Subject Classiffication. 26A51, 26D10, 26D15.

Subfields: Applied Mathematics, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/366f8749d88c458f7a8079adfdfc141a7c7df0d7

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In Applied Mathematics

1. Thabet Abdeljawad
2. Pshtiwan Othman Mohammed
3. Jaekeun Park
4. Wangshu Wen
5. Wenjun Liu
6. Dumitru Băleanu
7. Mehmet Yavuz
8. Fahd Jarad

In Statistics and Probability

1. Wangshu Wen
2. Pshtiwan Othman Mohammed
3. Wenjun Liu
4. Jaekeun Park

Citations in the corpus

• Integral inequalities for a fractional operator of a function with respect to another function with nonsingular kernel (2020, background): “Many further results have been derived from inequality (17); for details, see [16, 25, 34, 38, 47].”
• Hermite-Hadamard type inequalities for MT-convex functions via classical integrals and fractional integrals (2016, methodology): “Hermite-Hadamard type inequalities via classical integrals In order to prove our main results, we need the following Lemma that has been obtained in [9]: Lemma 2.”