Convex solutions of a functional equation arising in information theory

Journal of Mathematical Analysis and Applications

Volumn 328, Issue 2, 2007, Pages 1309-1320

  Hiriart Urruty, J B ^a   Martinez Legaz J E ^b  

^a INSTITUT DE MATHÉMATIQUES DE TOULOUSE   (France)

^b UNIVERSITAT AUTÒNOMA DE BARCELONA   (Spain)

Author keywords

Convex functions; Csisz r divergence; Functional equations; Information theory

Indexed keywords

EID: 33845878535     PISSN: 0022247X     EISSN: 10960813     Source Type: Journal    
DOI: 10.1016/j.jmaa.2006.06.035     Document Type: Article

References (4)

1. Hiriart-Urruty J.-B., and Lemarechal C. Convex Analysis and Minimizations Algorithms I and II. Grundlehren Math. Wiss. vols. 305 and 306 (1993), Springer Second corrected printing, 1996
2. Rockafellar R.T. Convex Analysis. second ed. (1972), Princeton Univ. Press
3. Ben-Tal A., Ben-Israel A., and Teboulle M. Certainty equivalents and information measures: Duality and extremal principles. J. Math. Anal. Appl. 157 (1991) 211-236
4. Hiriart-Urruty J.-B., and Martínez-Legaz J.-E. New formulas for the Legendre-Fenchel transform. J. Math. Anal. Appl. 288 (2003) 544-555