Some new Hermite-Hadamard type inequalities for generalized harmonically convex functions involving local fractional integrals

In this paper, we establish a new integral identity involving local fractional integral on Yang's fractal sets. Using this integral identity, some new generalized Hermite-Hadamard type inequalities whose function is monotonically increasing and generalized harmonically convex are obtained. Fina...

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Published inAIMS mathematics Vol. 6; no. 10; pp. 10679 - 10695
Main Authors Sun, Wenbing, Xu, Rui
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2021
Subjects
generalized harmonically convex function
hermite-hadamard type inequality
local fractional integral
yang's fractal sets
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Abstract In this paper, we establish a new integral identity involving local fractional integral on Yang's fractal sets. Using this integral identity, some new generalized Hermite-Hadamard type inequalities whose function is monotonically increasing and generalized harmonically convex are obtained. Finally, we construct some generalized special means to explain the applications of these inequalities.
AbstractList In this paper, we establish a new integral identity involving local fractional integral on Yang's fractal sets. Using this integral identity, some new generalized Hermite-Hadamard type inequalities whose function is monotonically increasing and generalized harmonically convex are obtained. Finally, we construct some generalized special means to explain the applications of these inequalities.
Author Sun, Wenbing
Xu, Rui
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Cites_doi 10.1142/S0218348X17400060
10.1090/proc/13488
10.1016/j.mcm.2011.12.048
10.1142/S0218348X19500713
10.1142/S0218348X17400023
10.1016/j.joems.2014.06.006
10.20852/ntmsci.2016320378
10.1016/j.fss.2018.11.008
10.1016/j.amc.2015.11.012
10.1142/S0218348X20500589
10.7153/jmi-11-23
10.22436/jnsa.010.11.24
10.1186/1029-242X-2013-333
10.1016/j.amc.2014.04.020
10.1186/1029-242X-2013-325
10.1090/S0025-5718-03-01622-3
10.1186/1029-242X-2013-158
10.1155/2014/346305
10.1142/S0218348X21500444
10.1137/S0036142903435958
10.1006/jath.2001.3658
10.7153/jmi-2017-11-33
10.1142/S0218348X20501108
10.1155/2014/636751
10.1155/2014/832802
10.1080/00036811.2019.1616083
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References key-10.3934/math.2021620-28
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key-10.3934/math.2021620-26
key-10.3934/math.2021620-25
key-10.3934/math.2021620-29
key-10.3934/math.2021620-8
key-10.3934/math.2021620-20
key-10.3934/math.2021620-7
key-10.3934/math.2021620-6
key-10.3934/math.2021620-5
key-10.3934/math.2021620-24
key-10.3934/math.2021620-23
key-10.3934/math.2021620-22
key-10.3934/math.2021620-9
key-10.3934/math.2021620-21
key-10.3934/math.2021620-17
key-10.3934/math.2021620-16
key-10.3934/math.2021620-15
key-10.3934/math.2021620-14
key-10.3934/math.2021620-19
key-10.3934/math.2021620-18
key-10.3934/math.2021620-30
key-10.3934/math.2021620-13
key-10.3934/math.2021620-12
key-10.3934/math.2021620-11
key-10.3934/math.2021620-10
key-10.3934/math.2021620-4
key-10.3934/math.2021620-3
key-10.3934/math.2021620-2
key-10.3934/math.2021620-1
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– ident: key-10.3934/math.2021620-26
  doi: 10.1142/S0218348X17400060
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  doi: 10.1090/proc/13488
– ident: key-10.3934/math.2021620-13
  doi: 10.1016/j.mcm.2011.12.048
– ident: key-10.3934/math.2021620-21
  doi: 10.1142/S0218348X19500713
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  doi: 10.1142/S0218348X17400023
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  doi: 10.1016/j.joems.2014.06.006
– ident: key-10.3934/math.2021620-14
  doi: 10.20852/ntmsci.2016320378
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  doi: 10.1016/j.fss.2018.11.008
– ident: key-10.3934/math.2021620-23
  doi: 10.1016/j.amc.2015.11.012
– ident: key-10.3934/math.2021620-29
  doi: 10.1142/S0218348X20500589
– ident: key-10.3934/math.2021620-17
– ident: key-10.3934/math.2021620-19
– ident: key-10.3934/math.2021620-10
  doi: 10.7153/jmi-11-23
– ident: key-10.3934/math.2021620-22
  doi: 10.22436/jnsa.010.11.24
– ident: key-10.3934/math.2021620-7
  doi: 10.1186/1029-242X-2013-333
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  doi: 10.1016/j.amc.2014.04.020
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  doi: 10.1186/1029-242X-2013-325
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  doi: 10.1090/S0025-5718-03-01622-3
– ident: key-10.3934/math.2021620-8
  doi: 10.1186/1029-242X-2013-158
– ident: key-10.3934/math.2021620-11
  doi: 10.1155/2014/346305
– ident: key-10.3934/math.2021620-28
  doi: 10.1142/S0218348X21500444
– ident: key-10.3934/math.2021620-2
  doi: 10.1137/S0036142903435958
– ident: key-10.3934/math.2021620-12
  doi: 10.1006/jath.2001.3658
– ident: key-10.3934/math.2021620-9
  doi: 10.7153/jmi-2017-11-33
– ident: key-10.3934/math.2021620-24
  doi: 10.1142/S0218348X20501108
– ident: key-10.3934/math.2021620-20
  doi: 10.1155/2014/636751
– ident: key-10.3934/math.2021620-30
  doi: 10.1155/2014/832802
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SubjectTerms generalized harmonically convex function
hermite-hadamard type inequality
local fractional integral
yang's fractal sets
Title Some new Hermite-Hadamard type inequalities for generalized harmonically convex functions involving local fractional integrals
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