Copy For Citation
Nápoles J. E., BAYRAKTAR B.
Advanced Studies: Euro-Tbilisi Mathematical Journal, vol.16, no.2, pp.11-28, 2023 (ESCI)
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Publication Type:
Article / Article
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Volume:
16
Issue:
2
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Publication Date:
2023
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Doi Number:
10.32513/asetmj/193220082314
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Journal Name:
Advanced Studies: Euro-Tbilisi Mathematical Journal
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Journal Indexes:
Emerging Sources Citation Index (ESCI), Scopus
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Page Numbers:
pp.11-28
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Keywords:
Hermite-Hadamard inequality, Caputo fractional derivatives, (h, m)-convex modified functions, MERCER TYPE INEQUALITIES, INTEGRAL-INEQUALITIES, S)-CONVEX, PROOF, (H
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Bursa Uludag University Affiliated:
Yes
Abstract
By means of Caputo k−fractional derivatives, in this work, we obtain new extensions of the Hermite-Hadamard inequality for modified (h, m)− convex functions of the second type. At work, we show that some known results from the literature can be obtained as particular cases of the results presented here.