Representations of error terms in Jensen's and some related inequalities with applications

Authors
Merkle, M
Citation
M. Merkle, Representations of error terms in Jensen's and some related inequalities with applications, J MATH ANAL, 231(1), 1999, pp. 76-90
Citations number
9
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN journal
0022247X → ACNP
Volume
231
Issue
1
Year of publication
1999
Pages
76 - 90
Database
ISI
SICI code
0022-247X(19990301)231:1<76:ROETIJ>2.0.ZU;2-3
Abstract
We give integral representations of error terms in the classical Jensen's i nequality as well as in four related inequalities. Starting from these resu lts, it is possible to derive various lower and upper asymptotic expansions for solutions of the functional equation f(x + 1) - f(x) = g(x). In partic ular, we present several results concerning the gamma function. (C) 1999 Ac ademic Press.