Two new theorem on mappings uniformly continuous and convex with applications to quadrature rules and means
APPLIED MATHEMATICS AND COMPUTATION, vol.143, pp.269-274, 2003 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 143
- Publication Date: 2003
- Doi Number: 10.1016/s0096-3003(02)00359-4
- Journal Name: APPLIED MATHEMATICS AND COMPUTATION
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.269-274
- Bursa Uludag University Affiliated: Yes
Abstract
An interesting connection exists between convex functions and uniformly continuous functions. This linkage leads to some interesting functional inequalities over the open interval which works well in quadrature rules and means. In this paper, we establish two new theorem which connect the Hermite-Hadamard type functions. (C) 2002 Elsevier Science Inc. All rights reserved.