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Advancements in Bullen-type inequalities via fractional integral operators and their applications
Muhammad Samraiz1, Zohaib Hassan1, Saima Naheed1
1Department of Mathematics, University of Sargodha, P.O. Box 40100, Sargodha, Pakistan.
Abstract:
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.
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