INTERNATIONAL JOURNAL OF ENGLISH LINGUISTICS.
CANADIAN CENTER SCIENCE & EDUCATION.
Vol. 9.
2019.
P. 392-403
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
Publisher
KOREAN MATHEMATICAL SOC
Number of issue
1
Language
English
Pages
161-184
Status
Published
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
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