ON NEW INEQUALITIES VIA RIEMANN-LIOUVILLE FRACTIONAL INTEGRATION
By M. Sarıkaya, H. Ogunmez. 2010
129 citations recorded by the source corpus.
We extend the Montgomery identities for the Riemann-Liouville fractional integrals. We also use these Montgomery identities to establish some new integral inequalities. Finally, we develop some integral inequalities for the fractional integral using differentiable convex functions.
Subfields: Applied Mathematics
View Paper: https://www.semanticscholar.org/paper/81c6b6f2dfd333fe13693c6287a1e1e9577dcc9f
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In Applied Mathematics
Citations in the corpus
- (k, s)-Riemann-Liouville fractional integral and applications (2016, background): “For more recent development on fractional calculus, we refer the reader to [7, 12, 15, 16, 19].”
- On Hermite-Hadamard type inequalities via fractional integrals of a function with respect to another function (2016, methodology): “Recently, several Hermite-Hadamard type inequalities were obtained for various classes of functions using fractional integrals; see [3, 5, 6, 14, 15, 22, 23] and references therein.”
- Generalization of different type integral inequalities for s-convex functions via fractional integrals (2013, background): “In recent years, many athors have studied error estimations for Hermite-Hadamard, Ostrowski and Simpson inequalities on the class of s-convex functions in the second sense; for refinements, counterparts, generalization see [2, 3, 5, 9, 10, 12, 13, 16, 17, 18, 19, 20, 21].”
- Ostrowski type fractional integral inequalities for MT-convex functions (2015, background): “Due to the wide application of fractional integrals, some authors extended to study fractional integral inequalities, we refer the reader to the papers [2,3,6,9,21] and the reference cited therein.”