대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제35권1호
  • /
  • Pages.161-184
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  • 2020
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  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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ON SOME WEIGHTED HARDY-TYPE INEQUALITIES INVOLVING EXTENDED RIEMANN-LIOUVILLE FRACTIONAL CALCULUS OPERATORS

  • Iqbal, Sajid (Department of Mathematics University of Sargodha (Sub-Campus Bhakkar)) ;
  • Pecaric, Josip (RUDN University) ;
  • Samraiz, Muhammad (Department of Mathematics University of Sargodha) ;
  • Tehmeena, Hassan (Department of Mathematics University of Sargodha (Mandi Bahauddin Campus)) ;
  • Tomovski, Zivorad (University St. cyril and Methodius Faculty of Natural Sciences and Mathematics Institute of Mathematics)
  • 투고 : 2018.11.07
  • 심사 : 2019.03.11
  • 발행 : 2020.01.31
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초록

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 Lp[a, b].

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과제정보

연구 과제 주관 기관 : Ministry of Education and Science of the Russian Federation

The research of second author was supported by the Ministry of Education and Science of the Russian Federation (Agreement number No. 02.a03.21.0008).

참고문헌

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