Author:
Haider Wali,Budak Hüseyin,Shehzadi Asia,Hezenci Fatih,Chen Haibo
Abstract
AbstractIn the framework of tempered fractional integrals, we obtain a fundamental identity for differentiable convex functions. By employing this identity, we derive several modifications of fractional Milne inequalities, providing novel extensions to the domain of tempered fractional integrals. The research comprehensively examines significant functional classes, including convex functions, bounded functions, Lipschitzian functions, and functions of bounded variation.
Publisher
Springer Science and Business Media LLC
Reference38 articles.
1. Ali, M.A., Budak, H., Michal, F., Sundas, K.: A new version of q-Hermite-Hadamard’s midpoint and trapezoid type inequalities for convex functions. Math. Slovaca 73(2), 369–386 (2023)
2. Alomari, M.W.: A companion of the generalized trapezoid inequality and applications. J. Math. Appl. 36, 5–15 (2013)
3. Alomari, M.W., Liu, Z.: New error estimations for the Milne’s quadrature formula in terms of at most first derivatives. Konuralp J. Math. 1(1), 17–23 (2013)
4. Bohner, M., Kashuri, A., Mohammed, P., Valdes, J.E.N.: Hermite-Hadamard-type inequalities for conformable integrals. Hacet. J. Math. Stat. 51(3), 775–786 (2022)
5. Bosch, P., Rodríguez, J.M., Sigarreta, J.M.: On new Milne-type inequalities and applications. J. Inequal. Appl. 2023(1), 3 (2023)
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