Some Inequalities of Jensen Type and Lazhar Type for the Class of Harmonically and Strongly Reciprocally Convex Functions

Authors

L. Azocar, Departamento de Matema´tica, Universidad Nacional Abierta (UNA), Caracas, VenezuelaFollow
M. Bracamonte, Departamento de Matema´tica, Universidad Centroccidental Lisandro Alvarado (UCLA), Barquisimeto, Venezuela\\ Facultad de Ciencias Naturales y Matema´tica, Departamento de Matema´tica, Escuela Superior Polite´cnica del Litoral (ESPOL), Km 30.5 V´ıa Perimetral, Campus Gustavo Galindo, Guayaquil, EcuadorFollow
J. Medina, Departamento de Matema´tica, Universidad Centroccidental Lisandro Alvarado (UCLA), Barquisimeto, VenezuelaFollow

Author Country (or Countries)

Ecuador

Abstract

In recent years, new classes of convex functions have been introduced in order to generalize the results and to obtain new estimations, in [12], Iscan gave the definition of harmonically convex functions and in [2] Bracamonte et al. extended the concept of harmonically convex functions due to Iscan, and obtained the concept of strongly reciprocally convex functions. We give some inequalities of Jensen type and Lazhar type for the class of harmonically and strongly reciprocally convex functions.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/110413

Recommended Citation

Azocar, L.; Bracamonte, M.; and Medina, J. (2017) "Some Inequalities of Jensen Type and Lazhar Type for the Class of Harmonically and Strongly Reciprocally Convex Functions," Applied Mathematics & Information Sciences: Vol. 11: Iss. 4, Article 13.
DOI: http://dx.doi.org/10.18576/amis/110413
Available at: https://digitalcommons.aaru.edu.jo/amis/vol11/iss4/13