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Improvement and further generalization of inequalities for differentiable mappings and applications

✍ Scribed by Uğur S. Kirmaci

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
198 KB
Volume
55
Category
Article
ISSN
0898-1221

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✦ Synopsis

Based on the celebrated Hermite-Hadamard integral inequality for convex functions, some inequalities for differentiable convex and concave mappings are generalized. Furthermore, the results obtained are examined in the context of special means for real numbers.

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Jordan-type inequalities for differentia
Jordan-type inequalities for differentiable functions and their applications
✍ Shanhe Wu; Lokenath Debnath 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 207 KB

In this work, we extend Jordan's inequality to obtain a new type of inequality involving functions and their higher-order derivatives. The result is then used to obtain some higher accurate inequalities of Jordan type.