Geodesic
Integral inequalities for differentiable s-convex functions in the second sense via Atangana-Baleanu fractional integral operators
Filomat, Tome 37 (2023) no. 18, p. 6229

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DOI

Fractional integral operators, which form strong links between fractional analysis and integral inequalities, make unique contributions to the field of inequality theory due to their properties and strong kernel structures. In this context, the novelty brought to the field by the study can be expressed as the new and first findings of Ostrowski type that contain Atangana-Baleanu fractional integral operators for differentiable s-convex functions in the second sense. In the study, two new integral identities were established for Atangana-Baleanu fractional integral operators and by using these two new integral identities, Ostrowski type integral inequalities were obtained. In the findings, it was aimed to contribute to the field due to the structural properties of Atangana-Baleanu fractional integral operators.
DOI : 10.2298/FIL2318229A
Classification : 26A33, 26A51, 26D10
Keywords: s-convex functions in the second sense, Ostrowski inequality, Hölder inequality, Atangana-Baleanu fractional integral operators, Normalization function, Euler Gamma function, Euler Beta function 
Merve Avcı Ardıç; Ahmet Ocak Akdemir; Havva Kavurmacı Önalan. Integral inequalities for differentiable s-convex functions in the second sense via Atangana-Baleanu fractional integral operators. Filomat, Tome 37 (2023) no. 18, p. 6229 . doi: 10.2298/FIL2318229A
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     title = {Integral inequalities for differentiable s-convex functions in the second sense via {Atangana-Baleanu} fractional integral operators},
     journal = {Filomat},
     pages = {6229 },
     year = {2023},
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     doi = {10.2298/FIL2318229A},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2318229A/}
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