ON SOME WEIGHTED HARDY-TYPE INEQUALITIES INVOLVING EXTENDED RIEMANN-LIOUVILLE FRACTIONAL CALCULUS OPERATORS

In this article, we establish some new weighted Hardy-type inequalities involving some variants of extended Riemann-Liouville fractional derivative operators, using convex and increasing functions. As special cases of the main results, we obtain the results of [18,19]. We also prove the boundedness of the k-fractional integral operator on L-p[a, b].

Authors
Iqbal S.1 , Pecaric J. 2 , Samraiz M.3 , Tehmeena H.4 , Tomovski Z.5
Journal
COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY
Publisher
KOREAN MATHEMATICAL SOC
Number of issue
1
Language
English
Pages
161-184
Status
Published
DOI
10.4134/CKMS.c180458
Volume
35
Year
2020
Organizations
  • 1 Univ Sargodha, Dept Math, Subcampus Bhakkar, Bhakkar, Pakistan
  • 2 RUDN Univ, Moscow, Russia
  • 3 Univ Sargodha, Dept Math, Sargodha, Pakistan
  • 4 Univ Sargodha, Dept Math, Mandi Bahauddin Campus, Mandi Bahauddin, Pakistan
  • 5 Univ St Cyril & Methodius, Fac Nat Sci & Math, Inst Math, Skopje, North Macedonia
Keywords
Hardy-type inequalities; Riemann-Liouville; fractional integral operator; convex and increasing function
Date of creation
10.02.2020
Date of change
10.02.2020
Short link
https://repository.rudn.ru/en/records/article/record/56708/
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