Exponentially Convex Functions on the Coordinates and Novel Estimations via Riemann-Liouville Fractional Operator

In this study, the modification of the concept of exponentially convex function, which is a general version of convex functions, given on the coordinates, is recalled. With the help of an integral identity which includes the Riemann-Liouville (RL) fractional integral operator, new Hadamard-type ineq...

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Veröffentlicht in:Journal of function spaces 2023, Vol.2023, p.1-9
Hauptverfasser: Akdemir, Ahmet Ocak, Aslan, Sinan, Dokuyucu, Mustafa Ali, Çelik, Ercan
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Sprache:eng
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Zusammenfassung:In this study, the modification of the concept of exponentially convex function, which is a general version of convex functions, given on the coordinates, is recalled. With the help of an integral identity which includes the Riemann-Liouville (RL) fractional integral operator, new Hadamard-type inequalities are proved for exponentially convex functions on the coordinates. Many special cases of the results are discussed.
ISSN:2314-8896
2314-8888
DOI:10.1155/2023/4310880