Fractional version of the Jensen-Mercer and Hermite-Jensen-Mercer type inequalities for strongly h-convex function

In this paper we find further versions of generalized Hadamard type fractional integral inequality for $ k $-fractional integrals. For this purpose we utilize the definition of $ h $-convex function. The presented results hold simultaneously for variant types of convexities and fractional integrals.

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Published in:AIMS mathematics Vol. 7; no. 1; pp. 784 - 803
Main Author: Ma, Fangfang
Format: Journal Article
Language:English
Published: AIMS Press 01.01.2022
Subjects:
convex function
fractional integrals
hermite-hadamard inequality
jensen-mercer inequality
ISSN:2473-6988, 2473-6988
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Abstract In this paper we find further versions of generalized Hadamard type fractional integral inequality for $ k $-fractional integrals. For this purpose we utilize the definition of $ h $-convex function. The presented results hold simultaneously for variant types of convexities and fractional integrals.
AbstractList In this paper we find further versions of generalized Hadamard type fractional integral inequality for $ k $-fractional integrals. For this purpose we utilize the definition of $ h $-convex function. The presented results hold simultaneously for variant types of convexities and fractional integrals.
Author Ma, Fangfang
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Cites_doi 10.1186/s13662-017-1306-z
10.1007/s00013-012-0361-7
10.2200/S00554ED1V01Y201312MAS014
10.1007/s00013-013-0522-3
10.1016/j.mcm.2011.12.048
10.1524/anly.2013.1223
10.1007/s00010-017-0496-5
10.1016/j.cam.2018.12.030
10.1016/j.jmaa.2006.02.086
10.1186/s13662-020-03093-y
10.1186/s13660-019-2151-2
10.1186/1029-242X-2012-170
10.2298/FIL1718783A
10.18514/MMN.2017.1197
10.3934/math.2019.3.343
10.2298/FIL1719945I
10.12691/tjant-2-3-1
10.1063/1.5047879
10.1186/1029-242X-2014-45
10.1155/2014/386806
10.1007/s00010-004-2730-1
10.13001/1081-3810.1684
10.1016/j.laa.2006.02.030
10.15352/afa/1399900197
10.20852/ntmsci.2016318838
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References key-10.3934/math.2022047-7
key-10.3934/math.2022047-8
key-10.3934/math.2022047-9
key-10.3934/math.2022047-20
key-10.3934/math.2022047-21
key-10.3934/math.2022047-22
key-10.3934/math.2022047-27
key-10.3934/math.2022047-28
key-10.3934/math.2022047-29
key-10.3934/math.2022047-23
key-10.3934/math.2022047-24
key-10.3934/math.2022047-25
key-10.3934/math.2022047-26
key-10.3934/math.2022047-3
key-10.3934/math.2022047-30
key-10.3934/math.2022047-4
key-10.3934/math.2022047-31
key-10.3934/math.2022047-5
key-10.3934/math.2022047-10
key-10.3934/math.2022047-32
key-10.3934/math.2022047-6
key-10.3934/math.2022047-11
key-10.3934/math.2022047-33
key-10.3934/math.2022047-1
key-10.3934/math.2022047-2
key-10.3934/math.2022047-16
key-10.3934/math.2022047-17
key-10.3934/math.2022047-18
key-10.3934/math.2022047-19
key-10.3934/math.2022047-12
key-10.3934/math.2022047-13
key-10.3934/math.2022047-14
key-10.3934/math.2022047-15
References_xml – ident: key-10.3934/math.2022047-7
  doi: 10.1186/s13662-017-1306-z
– ident: key-10.3934/math.2022047-4
  doi: 10.1007/s00013-012-0361-7
– ident: key-10.3934/math.2022047-15
  doi: 10.2200/S00554ED1V01Y201312MAS014
– ident: key-10.3934/math.2022047-3
  doi: 10.1007/s00013-013-0522-3
– ident: key-10.3934/math.2022047-30
  doi: 10.1016/j.mcm.2011.12.048
– ident: key-10.3934/math.2022047-12
  doi: 10.1524/anly.2013.1223
– ident: key-10.3934/math.2022047-19
  doi: 10.1007/s00010-017-0496-5
– ident: key-10.3934/math.2022047-1
  doi: 10.1016/j.cam.2018.12.030
– ident: key-10.3934/math.2022047-22
  doi: 10.1016/j.jmaa.2006.02.086
– ident: key-10.3934/math.2022047-17
– ident: key-10.3934/math.2022047-8
– ident: key-10.3934/math.2022047-6
– ident: key-10.3934/math.2022047-28
  doi: 10.1186/s13662-020-03093-y
– ident: key-10.3934/math.2022047-33
  doi: 10.1186/s13660-019-2151-2
– ident: key-10.3934/math.2022047-5
  doi: 10.1186/1029-242X-2012-170
– ident: key-10.3934/math.2022047-11
  doi: 10.2298/FIL1718783A
– ident: key-10.3934/math.2022047-32
  doi: 10.18514/MMN.2017.1197
– ident: key-10.3934/math.2022047-9
  doi: 10.3934/math.2019.3.343
– ident: key-10.3934/math.2022047-20
– ident: key-10.3934/math.2022047-25
  doi: 10.2298/FIL1719945I
– ident: key-10.3934/math.2022047-23
  doi: 10.12691/tjant-2-3-1
– ident: key-10.3934/math.2022047-10
– ident: key-10.3934/math.2022047-29
  doi: 10.1063/1.5047879
– ident: key-10.3934/math.2022047-14
– ident: key-10.3934/math.2022047-26
  doi: 10.1186/1029-242X-2014-45
– ident: key-10.3934/math.2022047-2
  doi: 10.1155/2014/386806
– ident: key-10.3934/math.2022047-18
– ident: key-10.3934/math.2022047-13
  doi: 10.1007/s00010-004-2730-1
– ident: key-10.3934/math.2022047-31
  doi: 10.13001/1081-3810.1684
– ident: key-10.3934/math.2022047-21
  doi: 10.1016/j.laa.2006.02.030
– ident: key-10.3934/math.2022047-16
  doi: 10.15352/afa/1399900197
– ident: key-10.3934/math.2022047-27
– ident: key-10.3934/math.2022047-24
  doi: 10.20852/ntmsci.2016318838
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Snippet In this paper we find further versions of generalized Hadamard type fractional integral inequality for $ k $-fractional integrals. For this purpose we utilize...
In this paper we find further versions of generalized Hadamard type fractional integral inequality for k-fractional integrals. For this purpose we utilize the...
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SubjectTerms convex function
fractional integrals
hermite-hadamard inequality
jensen-mercer inequality
Title Fractional version of the Jensen-Mercer and Hermite-Jensen-Mercer type inequalities for strongly h-convex function
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