dc.contributor.author |
Sahoo, Soubhagya Kumar
|
|
dc.contributor.author |
Jarad, Fahd
|
|
dc.contributor.author |
Kodamasingh, Bibhakar
|
|
dc.contributor.author |
Kashuri, Artion
|
|
dc.date.accessioned |
2024-03-12T13:24:59Z |
|
dc.date.available |
2024-03-12T13:24:59Z |
|
dc.date.issued |
2022 |
|
dc.identifier.citation |
Sahoo, Soubhagya Kumar;...et.al. (2022). "Hermite-Hadamard type inclusions via generalized Atangana-Baleanu fractional operator with application", AIMS Mathematics, Vol.7, No.7, pp.12303-12321. |
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dc.identifier.issn |
24736988 |
|
dc.identifier.uri |
http://hdl.handle.net/20.500.12416/7553 |
|
dc.description.abstract |
Defining new fractional operators and employing them to establish well-known integral inequalities has been the recent trend in the theory of mathematical inequalities. To take a step forward, we present novel versions of Hermite-Hadamard type inequalities for a new fractional operator, which generalizes some well-known fractional integral operators. Moreover, a midpoint type fractional integral identity is derived for differentiable mappings, whose absolute value of the first-order derivatives are convex functions. Moreover, considering this identity as an auxiliary result, several improved inequalities are derived using some fundamental inequalities such as Hölder-İşcan, Jensen and Young inequality. Also, if we take the parameter ρ = 1 in most of the results, we derive new results for Atangana-Baleanu equivalence. One example related to matrices is also given as an application. |
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dc.language.iso |
eng |
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dc.relation.isversionof |
10.3934/math.2022683 |
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dc.rights |
info:eu-repo/semantics/openAccess |
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dc.subject |
Atangana-Baleanu Fractional Integral Operators |
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dc.subject |
Convex Functions |
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dc.subject |
Hermite-Hadamard Inequality |
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dc.subject |
Jensen’s Inequality |
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dc.subject |
Young Inequality |
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dc.title |
Hermite-Hadamard type inclusions via generalized Atangana-Baleanu fractional operator with application |
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dc.type |
article |
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dc.relation.journal |
AIMS Mathematics |
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dc.contributor.authorID |
234808 |
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dc.identifier.volume |
7 |
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dc.identifier.issue |
7 |
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dc.identifier.startpage |
12303 |
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dc.identifier.endpage |
12321 |
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dc.contributor.department |
Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü |
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