New aspects of Opial-type integral inequalities

DOI10.1186/s13662-018-1912-4zbMath1448.26023OpenAlexW2902177805MaRDI QIDQ1716334

Yasemin Başcı, Dumitru Baleanu

Publication date: 4 February 2019

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-018-1912-4

zbMATH Keywords

Caputo-Fabrizio fractional derivativeOpial-type inequalityright integralleft integralleft operatorright operator

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) Denjoy and Perron integrals, other special integrals (26A39) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (8)

General Raina fractional integral inequalities on coordinates of convex functions ⋮ Opial-type inequalities for convex functions and associated results in fractional calculus ⋮ Analytic approaches of the anomalous diffusion: a review ⋮ ON AN EXTENDED HARDY-HILBERToS INEQUALITY IN THE WHOLE PLANE ⋮ Multidimensional Hilbert-type inequalities obtained via local fractional calculus ⋮ Opial integral inequalities for generalized fractional operators with nonsingular kernel ⋮ New fractional inequalities of Hermite-Hadamard type involving the incomplete gamma functions ⋮ Some Hermite-Hadamard and Opial dynamic inequalities on time scales

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