Certain integral inequalities associated with the strongly harmonic h−convex functions

Authors

Miguel Vivas-Cortez, Escuela de F ́ısica y Matema ́ticas, Facultad de Ciencias Exactas y Naturales, Pontificia Universidad Cato ́lica del Ecuador, Sede Quito, EcuadorFollow
Praveen Agarwal, Department of Mathematics, Anand International College of Engineering, Jaipur 303012, Rajasthan, India\\ Nonlinear Dynamics Research Center (NDRC), Ajman University, Ajman P.O. Box 346, United Arab Emirates\\ Peoples’ Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya St, 117198 Moscow, Russian FederationFollow
Jorge E. Herna ́ndez H., Universidad Centroccidental Lisandro Alvarado, Decanato de Ciencias Econo ́micas y Empresariales, Barquisimeto, VenezuelaFollow
Shaher Momani, Nonlinear Dynamics Research Center (NDRC), Ajman University, Ajman P.O. Box 346, United Arab Emirates\\ Department of Mathematics, Faculty of Science, University of Jordan, Amman 11942, JordanFollow

Author Country (or Countries)

Ecuador

Abstract

We study the concept of strongly harmonically h-convex functions and some examples and properties of them. Here, we develop few inequalities for this new class of functions, specifically these inequalities are: Hermite-Hadamard and Fejer. In addition, we establish some applications of our results to special media of non zero and non negative real numbers.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/170412

Recommended Citation

Vivas-Cortez, Miguel; Agarwal, Praveen; E. Herna ́ndez H., Jorge; and Momani, Shaher (2023) "Certain integral inequalities associated with the strongly harmonic h−convex functions," Applied Mathematics & Information Sciences: Vol. 17: Iss. 4, Article 12.
DOI: http://dx.doi.org/10.18576/amis/170412
Available at: https://digitalcommons.aaru.edu.jo/amis/vol17/iss4/12