New inequalities of Opial type for conformable fractional integrals

DOI10.3906/mat-1606-91zbMath1424.26061OpenAlexW2759652511MaRDI QIDQ4633357

Hüseyin Budak, Mehmet Zeki Sarikaya

Publication date: 2 May 2019

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-1606-91

zbMATH Keywords

Hölder inequalityOpial inequalityconformable fractional integrals

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Integrals of Riemann, Stieltjes and Lebesgue type (26A42) Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51)

Related Items (18)

On Opial-Traple type inequalities for \(\beta\)-partial derivatives ⋮ Some Opial type inequalities in \((p, q)\)-calculus ⋮ New bounds for the Ostrowski-type inequalities via conformable fractional calculus ⋮ Hardy-Leindler-type inequalities via conformable delta fractional calculus ⋮ Generalization of Hermite-Hadamard type inequalities via conformable fractional integrals ⋮ \(\mathrm{q,h}\)-Opial-type inequalities via Hahn operators ⋮ Hardy’s Type Inequalities via Conformable Calculus ⋮ Unnamed Item ⋮ New aspects of Opial-type integral inequalities ⋮ New inequalities of Opial type for conformable fractional integrals ⋮ Unnamed Item ⋮ The mixed conformable partial derivatives ⋮ Inequalities for Katugampola conformable partial derivatives ⋮ The Minkowski inequality involving generalized \(k\)-fractional conformable integral ⋮ On nabla conformable fractional Hardy-type inequalities on arbitrary time scales ⋮ The Minkowski's inequality by means of a generalized fractional integral ⋮ Unnamed Item ⋮ On q-Opial type inequality for quantum integral

Cites Work

• On conformable fractional calculus
• Some generalized Opial-type inequalities
• A new definition of fractional derivative
• Sur une inégalité
• Some new Opial‐type inequalities
• New inequalities of Opial type for conformable fractional integrals
• Taylor’s Formula and Integral Inequalities for Conformable Fractional Derivatives
• On Opial-type integral inequalities and applications
• On Opial-type integral inequalities
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