Efficient computations for weighted generalized proportional fractional operators with respect to a monotone function

In this paper, we propose a new framework of weighted generalized proportional fractional integral operator with respect to a monotone function Ψ, we develop novel modifications of the aforesaid operator. Moreover, contemplating the so-called operator, we determine several notable weighted Chebyshev...

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Published inAIMS mathematics Vol. 6; no. 8; pp. 8001 - 8029
Main Authors Zhou, Shuang-Shuang, Rashid, Saima, Rauf, Asia, Jarad, Fahd, Hamed, Y. S., Abualnaja, Khadijah M.
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2021
Subjects
cauchy schwartz inequality
grüss type inequality
weighted chebyshev inequality
weighted generalized proportional fractional integrals
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Abstract In this paper, we propose a new framework of weighted generalized proportional fractional integral operator with respect to a monotone function Ψ, we develop novel modifications of the aforesaid operator. Moreover, contemplating the so-called operator, we determine several notable weighted Chebyshev and Grüss type inequalities with respect to increasing, positive and monotone functions Ψ by employing traditional and forthright inequalities. Furthermore, we demonstrate the applications of the new operator with numerous integral inequalities by inducing assumptions on ω and Ψ verified the superiority of the suggested scheme in terms of efficiency. Additionally, our consequences have a potential association with the previous results. The computations of the proposed scheme show that the approach is straightforward to apply and computationally very user-friendly and accurate.
AbstractList In this paper, we propose a new framework of weighted generalized proportional fractional integral operator with respect to a monotone function Ψ, we develop novel modifications of the aforesaid operator. Moreover, contemplating the so-called operator, we determine several notable weighted Chebyshev and Grüss type inequalities with respect to increasing, positive and monotone functions Ψ by employing traditional and forthright inequalities. Furthermore, we demonstrate the applications of the new operator with numerous integral inequalities by inducing assumptions on ω and Ψ verified the superiority of the suggested scheme in terms of efficiency. Additionally, our consequences have a potential association with the previous results. The computations of the proposed scheme show that the approach is straightforward to apply and computationally very user-friendly and accurate.
Author Abualnaja, Khadijah M.
Rashid, Saima
Jarad, Fahd
Zhou, Shuang-Shuang
Rauf, Asia
Hamed, Y. S.
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Cites_doi 10.1186/s13660-019-2265-6
10.1007/978-94-017-1043-5
10.1016/j.aej.2021.01.003
10.3934/mbe.2021093
10.1103/PhysRevLett.115.180403
10.1186/s13662-019-2438-0
10.26637/mjm0101/008
10.1142/3779
10.1140/epjst/e2018-00021-7
10.1016/j.amc.2011.03.062
10.26637/mjm103/004
10.32604/cmes.2021.011782
10.1017/mag.2016.67
10.3390/math7121225
10.1016/j.chaos.2019.05.035
10.3390/math7090807
10.1002/mma.7346
10.1002/lpor.201600037
10.3934/math.2021267
10.1016/j.amc.2015.07.026
10.1186/s13662-016-1057-2
10.1186/s13662-018-1939-6
10.1016/j.cam.2018.07.018
10.1186/1687-1847-2012-1
10.3934/math.2020451
10.2478/s13540-012-0047-7
10.2298/FIL1302277D
10.3934/math.2020290
10.1142/S0218348X20400113
10.3934/math.2020315
10.1080/09720502.2010.10700721
10.1007/BF01201355
10.1515/math-2020-0014
10.11121/ijocta.01.2018.00541
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CorporateAuthor Department of Mathematics, Government College University, Faisalabad, Pakistan
Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, Taiwan
Department of Mathematics, Çankaya University, Ankara, Turkey
School of Science, Hunan City University, Yiyang 413000, China
Department of Mathematics, Faculty of Science, Taif University, P. O. Box 11099, Taif 21944, Saudi Arabia
Department of Mathematics, Government College Women University, Faisalabad, pakistan
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– name: Department of Mathematics, Faculty of Science, Taif University, P. O. Box 11099, Taif 21944, Saudi Arabia
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References key-10.3934/math.2021465-1
key-10.3934/math.2021465-2
key-10.3934/math.2021465-3
key-10.3934/math.2021465-4
key-10.3934/math.2021465-5
key-10.3934/math.2021465-28
key-10.3934/math.2021465-29
key-10.3934/math.2021465-24
key-10.3934/math.2021465-25
key-10.3934/math.2021465-26
key-10.3934/math.2021465-27
key-10.3934/math.2021465-20
key-10.3934/math.2021465-21
key-10.3934/math.2021465-22
key-10.3934/math.2021465-23
key-10.3934/math.2021465-17
key-10.3934/math.2021465-18
key-10.3934/math.2021465-19
key-10.3934/math.2021465-13
key-10.3934/math.2021465-14
key-10.3934/math.2021465-15
key-10.3934/math.2021465-16
key-10.3934/math.2021465-53
key-10.3934/math.2021465-10
key-10.3934/math.2021465-54
key-10.3934/math.2021465-11
key-10.3934/math.2021465-12
key-10.3934/math.2021465-50
key-10.3934/math.2021465-51
key-10.3934/math.2021465-52
key-10.3934/math.2021465-46
key-10.3934/math.2021465-47
key-10.3934/math.2021465-48
key-10.3934/math.2021465-49
key-10.3934/math.2021465-42
key-10.3934/math.2021465-43
key-10.3934/math.2021465-44
key-10.3934/math.2021465-45
key-10.3934/math.2021465-40
key-10.3934/math.2021465-41
key-10.3934/math.2021465-6
key-10.3934/math.2021465-39
key-10.3934/math.2021465-7
key-10.3934/math.2021465-8
key-10.3934/math.2021465-9
key-10.3934/math.2021465-35
key-10.3934/math.2021465-36
key-10.3934/math.2021465-37
key-10.3934/math.2021465-38
key-10.3934/math.2021465-31
key-10.3934/math.2021465-32
key-10.3934/math.2021465-33
key-10.3934/math.2021465-34
key-10.3934/math.2021465-30
References_xml – ident: key-10.3934/math.2021465-23
  doi: 10.1186/s13660-019-2265-6
– ident: key-10.3934/math.2021465-32
  doi: 10.1007/978-94-017-1043-5
– ident: key-10.3934/math.2021465-8
– ident: key-10.3934/math.2021465-39
– ident: key-10.3934/math.2021465-1
– ident: key-10.3934/math.2021465-13
  doi: 10.1016/j.aej.2021.01.003
– ident: key-10.3934/math.2021465-11
  doi: 10.3934/mbe.2021093
– ident: key-10.3934/math.2021465-20
  doi: 10.1103/PhysRevLett.115.180403
– ident: key-10.3934/math.2021465-44
  doi: 10.1186/s13662-019-2438-0
– ident: key-10.3934/math.2021465-18
  doi: 10.1186/s13662-019-2438-0
– ident: key-10.3934/math.2021465-27
  doi: 10.26637/mjm0101/008
– ident: key-10.3934/math.2021465-2
  doi: 10.1142/3779
– ident: key-10.3934/math.2021465-9
  doi: 10.1140/epjst/e2018-00021-7
– ident: key-10.3934/math.2021465-38
– ident: key-10.3934/math.2021465-7
  doi: 10.1016/j.amc.2011.03.062
– ident: key-10.3934/math.2021465-5
– ident: key-10.3934/math.2021465-28
  doi: 10.26637/mjm103/004
– ident: key-10.3934/math.2021465-4
– ident: key-10.3934/math.2021465-14
  doi: 10.32604/cmes.2021.011782
– ident: key-10.3934/math.2021465-52
  doi: 10.1017/mag.2016.67
– ident: key-10.3934/math.2021465-43
  doi: 10.1186/s13662-019-2438-0
– ident: key-10.3934/math.2021465-46
  doi: 10.3390/math7121225
– ident: key-10.3934/math.2021465-17
  doi: 10.1016/j.chaos.2019.05.035
– ident: key-10.3934/math.2021465-33
  doi: 10.3390/math7090807
– ident: key-10.3934/math.2021465-12
  doi: 10.1002/mma.7346
– ident: key-10.3934/math.2021465-21
  doi: 10.1002/lpor.201600037
– ident: key-10.3934/math.2021465-10
  doi: 10.3934/math.2021267
– ident: key-10.3934/math.2021465-37
– ident: key-10.3934/math.2021465-42
  doi: 10.1016/j.amc.2015.07.026
– ident: key-10.3934/math.2021465-51
  doi: 10.1186/s13662-016-1057-2
– ident: key-10.3934/math.2021465-30
– ident: key-10.3934/math.2021465-53
– ident: key-10.3934/math.2021465-3
– ident: key-10.3934/math.2021465-49
  doi: 10.1186/s13662-018-1939-6
– ident: key-10.3934/math.2021465-50
  doi: 10.1016/j.cam.2018.07.018
– ident: key-10.3934/math.2021465-15
  doi: 10.1186/1687-1847-2012-1
– ident: key-10.3934/math.2021465-48
  doi: 10.1140/epjst/e2018-00021-7
– ident: key-10.3934/math.2021465-29
  doi: 10.3934/math.2020451
– ident: key-10.3934/math.2021465-16
  doi: 10.2478/s13540-012-0047-7
– ident: key-10.3934/math.2021465-40
– ident: key-10.3934/math.2021465-36
  doi: 10.2298/FIL1302277D
– ident: key-10.3934/math.2021465-24
  doi: 10.1186/s13662-019-2438-0
– ident: key-10.3934/math.2021465-34
  doi: 10.3934/math.2020290
– ident: key-10.3934/math.2021465-6
  doi: 10.1186/1687-1847-2012-1
– ident: key-10.3934/math.2021465-54
– ident: key-10.3934/math.2021465-45
  doi: 10.1186/s13662-019-2438-0
– ident: key-10.3934/math.2021465-19
  doi: 10.1142/S0218348X20400113
– ident: key-10.3934/math.2021465-35
  doi: 10.3934/math.2020315
– ident: key-10.3934/math.2021465-41
  doi: 10.1080/09720502.2010.10700721
– ident: key-10.3934/math.2021465-26
– ident: key-10.3934/math.2021465-31
  doi: 10.1007/BF01201355
– ident: key-10.3934/math.2021465-22
– ident: key-10.3934/math.2021465-47
  doi: 10.1515/math-2020-0014
– ident: key-10.3934/math.2021465-25
  doi: 10.11121/ijocta.01.2018.00541
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SubjectTerms cauchy schwartz inequality
grüss type inequality
weighted chebyshev inequality
weighted generalized proportional fractional integrals
Title Efficient computations for weighted generalized proportional fractional operators with respect to a monotone function
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