Some Hardy-Type Inequalities for Superquadratic Functions via Delta Fractional Integrals | Zendy

Usama Hanif | Zendy; Ammara Nosheen | Zendy; Rabia Bibi | Zendy; Khuram Ali Khan | Zendy; Hamid Reza Moradi | Zendy

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Some Hardy-Type Inequalities for Superquadratic Functions via Delta Fractional Integrals

Author(s) -

Usama Hanif,

Ammara Nosheen,

Rabia Bibi,

Khuram Ali Khan,

Hamid Reza Moradi

Publication year - 2021

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2021/9939468

Subject(s) - fractional calculus , mathematics , type (biology) , calculus (dental) , pure mathematics , inequality , mathematical analysis , medicine , ecology , dentistry , biology

In this paper, Jensen and Hardy inequalities, including Pólya–Knopp type inequalities for superquadratic functions, are extended using Riemann–Liouville delta fractional integrals. Furthermore, some inequalities are proved by using special kernels. Particular cases of obtained inequalities give us the results on time scales calculus, fractional calculus, discrete fractional calculus, and quantum fractional calculus.

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