Jordan-type inequalities for differentiable functions and their applications
β Scribed by Shanhe Wu; Lokenath Debnath
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 207 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0893-9659
No coin nor oath required. For personal study only.
β¦ Synopsis
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.
π SIMILAR VOLUMES
In the present paper we introduce the conditions of solvability for Chaplygin's problem with discontinuous functions in two independent variables, satisfying integro-sum inequalities. The new type of nonlinear integral and Wendroff's inequality for discontinuous functions are investigated. As applic
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.