Exponential Type p–Convex Function with Some Related Inequalities and their Applications

Authors

Miguel Vivas-Cortez, Pontificia Universidad Cato ́lica del Ecuador, Facultad de Ciencias Exactas y Naturales, Escuela de Ciencias F ́ısicas y Matema ́ticas , Av. 12 de octubre 1076, Apartado: 17-01-2184, Quito, EcuadorFollow
Artion Kashuri, Department of Mathematics, Faculty of Technical Science, University “Ismail Qemali”, Vlora, AlbaniaFollow
Saad Ihsan Butt, COMSATS University Islamabad, Lahore Campus, PakistanFollow
Muhammad Tariq, COMSATS University Islamabad, Lahore Campus, PakistanFollow
Jamshed Nasir, COMSATS University Islamabad, Lahore Campus, PakistanFollow

Author Country (or Countries)

Ecuador

Abstract

In this paper, the idea of exponential type p–convex function and its algebraic properties have been investigated.The authors proved new trapezium type inequality for this new class of functions and derived many refinements of the trapezium type inequality for functions whose first derivative in absolute value at certain power is exponential type p–convex. Finally, some new bounds for special means of different positive real numbers are provided as well. The findings show some generalizations of the known results.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/150302

Recommended Citation

Vivas-Cortez, Miguel; Kashuri, Artion; Ihsan Butt, Saad; Tariq, Muhammad; and Nasir, Jamshed (2021) "Exponential Type p–Convex Function with Some Related Inequalities and their Applications," Applied Mathematics & Information Sciences: Vol. 15: Iss. 3, Article 2.
DOI: http://dx.doi.org/10.18576/amis/150302
Available at: https://digitalcommons.aaru.edu.jo/amis/vol15/iss3/2