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On Generalization of Midpoint and Trapezoid Type Inequalities Involving Fractional Integrals.
- Source :
- Journal of Mathematical Extension; 2020, Vol. 14 Issue 3, p117-132, 16p
- Publication Year :
- 2020
-
Abstract
- In this paper, we first give a lemma for twice differentiable function to obtain trapezoid and midpoint inequalities. By using this lemma, we establish some inequalities for mapping whose second derivatives in absolute value are convex via Riemann-Liouville fractional integrals. These results generalize the midpoint and trapezoid inequalities involving Riemann-Liouville fractional integrals given in earlier studies. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 17358299
- Volume :
- 14
- Issue :
- 3
- Database :
- Complementary Index
- Journal :
- Journal of Mathematical Extension
- Publication Type :
- Academic Journal
- Accession number :
- 147541307