Advancements in Bullen-type inequalities via fractional integral operators and their applications
Muhammad Samraiz,
Zohaib Hassan,
Saima Naheed,
Miguel Vivas-Cortez,
Rifaqat Ali,
Tarik Lamoudan
Affiliations
Muhammad Samraiz
Department of Mathematics, University of Sargodha, P.O. Box 40100, Sargodha, Pakistan
Zohaib Hassan
Department of Mathematics, University of Sargodha, P.O. Box 40100, Sargodha, Pakistan
Saima Naheed
Department of Mathematics, University of Sargodha, P.O. Box 40100, Sargodha, Pakistan
Miguel Vivas-Cortez
Facultad de Ciencias Exactas y Naturales, Pontificia Universidad Católica del Ecuador, Av. 12 de octubre 1076, Apartado, Quito 17-01-2184, Ecuador; Corresponding author.
Rifaqat Ali
Department of Mathematics, Applied College in Mohayil Asir, King Khalid University, Abha, Saudi Arabia
Tarik Lamoudan
Department of Mathematics, Applied College in Mohayil Asir, King Khalid University, Abha, Saudi Arabia
In this paper, we investigate Bullen-type inequalities applicable to functions that are twice-differentiable. To explore these advanced inequalities, we utilize generalized convexity and Riemann-type fractional integrals. A comparative analysis is provided to highlight the more refined inequalities from among the explored results. By exploring the limiting cases, a relation with existing literature is established. Several examples are also presented to illustrate the outcomes and their accuracy is validated through graphical analysis. Additionally, applications in generalized means are also discussed.
