New bounds for the Ostrowski-type inequalities via conformable fractional calculus

DOI10.1007/s40065-018-0201-0zbMath1403.26024OpenAlexW2791870710MaRDI QIDQ1630970

Fuat Usta, Hüseyin Budak, Mehmet Zeki Sarikaya, Tuba Tunc

Publication date: 5 December 2018

Published in: Arabian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40065-018-0201-0

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Inequalities for sums, series and integrals (26D15) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Numerical integration (65D30)

Related Items (6)

Unified integral operator inequalities via convex composition of two functions ⋮ Hermite-Hadamard type inequalities for convex functions via generalized fractional integral operators ⋮ Conformable Fractional Inequalities ⋮ The mixed conformable partial derivatives ⋮ Unnamed Item ⋮ New refinements of Chebyshev-Pólya-Szegö-type inequalities via generalized fractional integral operators

Cites Work

• New properties of conformable derivative
• On conformable fractional calculus
• New approach to a generalized fractional integral
• On a new class of fractional operators
• Fundamental results of conformable Sturm-Liouville eigenvalue problems
• A generalized Lyapunov-type inequality in the frame of conformable derivatives
• A new definition of fractional derivative
• Über die Absolutabweichung einer differenzierbaren Funktion von ihrem Integralmittelwert
• NEW BOUNDS FOR THE OSTROWSKI-LIKE TYPE INEQUALITIES
• New inequalities of Opial type for conformable fractional integrals
• Explicit bounds on certain integral inequalities via conformable fractional calculus
• A New Approach to Generalized Fractional Derivatives
• Taylor’s Formula and Integral Inequalities for Conformable Fractional Derivatives
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