Simpson Type Integral Inequalities for Convex Functions via Riemann-Liouville Integrals

Erhan Set; Ahmet Selçuk Akdemir; M Tunahan Özdemir

doi:10.2298/fil17144155

January 1, 2017Jurnal Akuntansi dan Keuangan EntitasOpen Access

Simpson Type Integral Inequalities for Convex Functions via Riemann-Liouville Integrals

View Full Paper

Ask AI

Bookmark

Share

Key Points

To establish Simpson-type inequalities for convex functions using Riemann-Liouville integrals.
Develop inequalities for classes of functions with convex derivatives
Utilize Riemann-Liouville integrals to derive results
Perform specific selections of n to obtain reduced results
New inequalities are established for the specified classes of functions
Demonstrations include various cases based on chosen parameters
Inequalities highlight connections between convexity and integral methods

Implication

New Simpson-type inequalities demonstrate properties of convex functions, suggesting broader applications in analysis.

Abstract

In this paper some new inequalities of Simpson-type are established for the classes of functions whose derivatives of absolute values are convex functions via Riemann-Liouville integrals. Also, by special selections of n,we give some reduced results.

Discussion

No takes yet. Share an insight, caveat, or question.

Cite This Study

Set et al. (2017) studied this question.

synapsesocial.com/papers/69a3d800ec16d51705d2e760 https://doi.org/10.2298/fil17144155

View Full Paper

Ask AI

Bookmark

Share

Simpson Type Integral Inequalities for Convex Functions via Riemann-Liouville Integrals

Key Points

Implication

Abstract

Discussion

Cite This Study

Simpson Type Integral Inequalities for Convex Functions via Riemann-Liouville Integrals

Key Points

Implication

Abstract

Discussion

Cite This Study

Keep reading

Keep reading