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HERMITE INTERPOLATION WITH GREEN FUNCTIONS AND POSITIVITY OF GENERAL LINEAR INEQUALITIES FOR n-CONVEX FUNCTIONS.
- Source :
-
Journal of Mathematical Analysis . 2020, Vol. 11 Issue 4, p1-15. 15p. - Publication Year :
- 2020
-
Abstract
- We state new general linear identities and inequalities involving n-convex functions using Hermite interpolation polynomials and Green functions. We also study positivity conditions of our stated inequalities. Moreover, we state related inequalities for n-convex functions at a point. Bounds for the reminders in new generalizations of general linear inequalities are given by using Čeby-sev functional, Ostrowski- and Grüss- types inequalities. [ABSTRACT FROM AUTHOR]
- Subjects :
- *GREEN'S functions
*INTERPOLATION
*HERMITE polynomials
*MATHEMATICAL equivalence
Subjects
Details
- Language :
- English
- ISSN :
- 21173419
- Volume :
- 11
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 145619589