On Opial-Type Inequalities for Superquadratic Functions and Applications in Fractional Calculus | Zendy

Waqas Nazeer | Zendy; Ghulam Farid | Zendy; Zabidin Salleh | Zendy; Ayesha Bibi | Zendy

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On Opial-Type Inequalities for Superquadratic Functions and Applications in Fractional Calculus

Author(s) -

Waqas Nazeer,

Ghulam Farid,

Zabidin Salleh,

Ayesha Bibi

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 - 10.1155/2021/6379883

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

We have studied the Opial-type inequalities for superquadratic functions proved for arbitrary kernels. These are estimated by applying mean value theorems. Furthermore, by analyzing specific functions, the fractional integral and fractional derivative inequalities are obtained.

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