REFINEMENTS AND REVERSES OF FEJER’S ´ INEQUALITIES FOR CONVEX FUNCTIONS ON LINEAR SPACES

REFINEMENTS AND REVERSES OF FEJER’S ´ INEQUALITIES FOR CONVEX FUNCTIONS ON LINEAR SPACES

In this paper, we establish some refinements and reverses of the celebrated F´ejer’s inequalities for the general case of functions defined on linear spaces. The obtained bounds are in terms of the Gˆateaux lateral derivatives. Some applications for norms and semi-inner products in normed linear spa...

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Veröffentlicht in:Issues of analysis 2020-01, Vol.927 (3), p.99-118
1. Verfasser: S. S. Dragomir
Format: Artikel
Sprache:eng
Schlagworte:
convex functions
f´ejer’s inequalities
hermite-hadamard inequality
integral inequalities
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Zusammenfassung:In this paper, we establish some refinements and reverses of the celebrated F´ejer’s inequalities for the general case of functions defined on linear spaces. The obtained bounds are in terms of the Gˆateaux lateral derivatives. Some applications for norms and semi-inner products in normed linear spaces are also provided.
ISSN:2306-3424
2306-3432
DOI:10.15393/j3.art.2020.8830