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Some new inequalities for (k, s)-fractional integrals

  • M. Aldhaifallah
  • , M. Tomar
  • , K. S. Nisar
  • , S. D. Purohit*
  • *Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

30 Scopus citations

Abstract

In this paper, the (k, s)-fractional integral operator is used to generate new classes of integral inequalities using a family of n positive functions, (n ∈ N). Two classes of integral inequalities involving the (k, s)-fractional integral operator are derived here and these results allow us in particular to generalize some classical inequalities. Certain interesting consequent results of the main theorems are also pointed out.

Original languageEnglish
Pages (from-to)5374-5381
Number of pages8
JournalJournal of Nonlinear Science and Applications
Volume9
Issue number9
DOIs
StatePublished - 2016
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2016 All rights reserved.

Keywords

  • (k, s)-fractional integrals
  • Fractional integral inequalities
  • Integral inequalities

ASJC Scopus subject areas

  • Analysis
  • Algebra and Number Theory

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