Caputo Fractional Derivative Hadamard Inequalities for Stronglym-Convex Functions | Zendy

Xue Feng | Zendy; Baolin Feng | Zendy; Ghulam Farid | Zendy; Sidra Bibi | Zendy; Xiaoyan Qi | Zendy; Ze Wu | Zendy

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Caputo Fractional Derivative Hadamard Inequalities for Strongly

m

-Convex Functions

Author(s) -

Xue Feng,

Baolin Feng,

Ghulam Farid,

Sidra Bibi,

Xiaoyan Qi,

Ze Wu

Publication year - 2021

Publication title -

journal of function spaces

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.579

H-Index - 28

eISSN - 2314-8896

pISSN - 2314-8888

DOI - 10.1155/2021/6642655

Subject(s) - hadamard transform , convex function , mathematics , regular polygon , fractional calculus , derivative (finance) , pure mathematics , discrete mathematics , mathematical analysis , geometry , financial economics , economics

In this paper, two versions of the Hadamard inequality are obtained by using Caputo fractional derivatives and strongly - convex functions. The established results will provide refinements of well-known Caputo fractional derivative Hadamard inequalities for - convex and convex functions. Also, error estimations of Caputo fractional derivative Hadamard inequalities are proved and show that these are better than error estimations already existing in literature.

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