On Opial-type inequalities via a new generalized integral operator

DOI10.11568/kjm.2021.29.2.227zbMath1475.26010OpenAlexW3174430320MaRDI QIDQ5006080

Yasir Mehboob, Ghulam Farid

Publication date: 12 August 2021

Full work available at URL: http://kkms.org/index.php/kjm/article/download/909/604

zbMATH Keywords

convex functionintegral operatorsOpial inequalityfractional integral operatorsconformable integral operators

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Mittag-Leffler functions and generalizations (33E12) Convexity of real functions in one variable, generalizations (26A51)

Cites Work

• Hermite-Hadamard and Hermite-Hadamard-Fejér type inequalities for generalized fractional integrals
• Convex functions, partial orderings, and statistical applications
• General fractional Opial type inequalities
• Generalized conformable fractional operators
• On a new class of fractional operators
• An extension of Opial's inequality
• Best constants in a class of integral inequalities
• Opial-type inequalities for convex functions and associated results in fractional calculus
• (k,s)-Riemann-Liouville fractional integral and applications
• Composition identities for the Caputo fractional derivatives and applications to Opial-type inequalities
• Sur une inégalité
• Opial type integral inequalities for fractional derivatives
• Opial type integral inequalities for fractional derivatives II
• Mean value Theorems associated to the differences of Opial-type inequalities and their fractional versions
• Opial-type inequality due to Agarwal–Pang and fractional differential inequalities
• On Opial-type integral inequalities
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