Properties and Characterizations of Convex Functions on Time Scales

• Autorzy: Teodoro Lara , Nelson Merentes , Edgar Rosales , Ambrosio Tineo
• Języki publikacji: EN

Abstrakty

EN

In this research we deal with algebraic properties and characterizations of convex functions in the context of a time scale; this notion of convexity has been studied for some other authors but the setting of properties are establish here. Moreover, characterizations, a separation theorem and an inequality of Jensen type for this class of functions are shown as well. (original abstract)

Słowa kluczowe

EN

Mathematics; Mathematical functions; Mathematical inequalities

PL

Matematyka; Funkcje matematyczne; Nierówności matematyczne

• Czasopismo: Annales Mathematicae Silesianae
• Rocznik: 2018
• Tom: 32
• Strony: 237--245

Twórcy

autor

Teodoro Lara

• University of the Andes, Venezuela

autor

Nelson Merentes

• The Central University of Venezuela, Venezuela

autor

Edgar Rosales

• University of the Andes, Venezuela

autor

Ambrosio Tineo

• University of the Andes, Venezuela

Bibliografia

• Bohner M., Peterson A., Dynamic equations on time scales. An introduction with applications, Birkhäuser, Boston, 2001.
• Dinu C., Convex functions on time scales, An. Univ. Craiova Ser. Mat. Inform. 35 (2008), 87-96.
• Dinu C., Hermite-Hadamard inequality on time scales, J. Inequal. Appl. 2008 (2008), Art. ID 287947, 24 pp.
• Hilger S., Analysis on measure chains-a unified approach to continuous and discrete calculus, Results Math. 18 (1990), 18-56.
• Kaymakçalan B., A survey of dynamic systems on measure chains, Funct. Differ. Equ. 6 (1999), 125-135.
• Merentes N., Rivas S., The development of the concept of convex function, XXVI Escuela Venezolana de Matemáticas, Venezuela, 2013 (in Spanish).
• Mozyrska D., Torres D.F.M., The natural logarithm on time scales, J. Dyn. Syst. Geom. Theor. 7 (2009), 41-48.
• Olbryś A., On separation by h-convex functions, Tatra Mt. Math. Publ. 62 (2015), 105-111.
• Roberts A.W., Varberg D.E., Convex functions, Academic Press, New York, 1973.

Identyfikatory

DOI

10.1515/amsil-2017-0016