2 INEQUALITIES FOR DIFFERENTIABLE MAPPINGS AND APPLICATIONS TO SPECIAL MEANS OF REAL NUMBERS AND TO TRAPEZOIDAL FORMULA

Authors
DRAGOMIR SS AGARWAL RP
Citation
Ss. Dragomir et Rp. Agarwal, 2 INEQUALITIES FOR DIFFERENTIABLE MAPPINGS AND APPLICATIONS TO SPECIAL MEANS OF REAL NUMBERS AND TO TRAPEZOIDAL FORMULA, Applied mathematics letters, 11(5), 1998, pp. 91-95
Citations number
11
Categorie Soggetti
Mathematics,Mathematics
Journal title
Applied mathematics letters → ACNP
ISSN journal
08939659
Volume
11
Issue
5
Year of publication
1998
Pages
91 - 95
Database
ISI
SICI code
0893-9659(1998)11:5<91:2IFDMA>2.0.ZU;2-6
Abstract
In this paper, we shall offer two inequalities for differentiable conv ex mappings which are connected with the celebrated Hermite-Hadamard's integral inequality holding for convex functions. Some natural applic ations to special means of real numbers are given. Finally, some error estimates for the trapezoidal formula, are also addressed. (C) 1998 E lsevier Science Ltd. All rights reserved.