Fractional Ostrowski type inequalities via generalized Mittag-Leffler function

DOI10.1155/2020/4705632zbMath1459.26041OpenAlexW3033913926MaRDI QIDQ778675

Xinghua You, Kahkashan Maheen, Ghulam Farid

Publication date: 3 July 2020

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2020/4705632

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Mittag-Leffler functions and generalizations (33E12) Inequalities for sums, series and integrals (26D15)

Related Items (3)

Generalization of Montgomery identity via Taylor formula on time scales ⋮ Generalized fractional Ostrowski type integral inequalities for logarithmically \(h\)-convex function ⋮ Estimation of the parameterized integral inequalities involving generalized \(p\)-convex mappings on fractal sets and related applications

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Straightforward proofs of Ostrowski inequality and some related results
• A new generalization of Ostrowski-type inequality involving functions of two independent variables
• Ostrowski type inequalities involving conformable fractional integrals
• Hermite-Hadamard type inequalities for fractional integrals via Green's function
• Fractional calculus with an integral operator containing a generalized Mittag-Leffler function in the kernel
• An inequality of Ostrowski-Grüss' type and its applications to the estimation of error bounds for some special means and for some numerical quadrature rules
• Conformable fractional integrals versions of Hermite-Hadamard inequalities and their generalizations
• Hermite-Hadamard type inequalities for conformable fractional integrals
• A further extension of Mittag-Leffler function
• On a generalization of Mittag-Leffler function and its properties
• The extended Mittag-Leffler function via fractional calculus
• Ostrowski-type fractional integral inequalities for mappings whose derivatives are h-convex via Katugampola fractional integrals

This page was built for publication: Fractional Ostrowski type inequalities via generalized Mittag-Leffler function