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Journal of inequalities and applications
2018;2018 (1): 70.

Ostrowski type inequalities involving conformable fractional integrals.

Muhammad Adil Khan, Sumbel Begum, Yousaf Khurshid, Yu-Ming Chu
Author Information
  1. Muhammad Adil Khan: 1College of Science, Hunan City University, Yiyang, China.
  2. Sumbel Begum: 2Department of Mathematics, University of Peshawar, Peshawar, Pakistan.
  3. Yousaf Khurshid: 2Department of Mathematics, University of Peshawar, Peshawar, Pakistan.
  4. Yu-Ming Chu: 3Department of Mathematics, Huzhou University, Huzhou, China.
PMID: 29628746 DOI: 10.1186/s13660-018-1664-4

Abstract

In the article, we establish several Ostrowski type inequalities involving the conformable fractional integrals. As applications, we find new inequalities for the arithmetic and generalized logarithmic means.

Keywords

Arithmetic mean Conformable derivative Conformable integral Generalized logarithmic mean Ostrowski inequality

References

  1. J Inequal Appl. 2017;2017(1):106 [PMID: 28553056]
  2. J Inequal Appl. 2017;2017(1):210 [PMID: 28955149]
  3. J Inequal Appl. 2017;2017(1):274 [PMID: 29151708]
Journal Article

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Created with Highcharts 10.0.0OstrowskiinequalitiestypeinvolvingconformablefractionalintegralslogarithmicmeanConformablearticleestablishseveralapplicationsfindnewarithmeticgeneralizedmeansArithmeticderivativeintegralGeneralizedinequality

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