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Some Generalized Fractional Integral Inequalities for Convex Functions with Applications.

Authors :
Zhao, Dafang
Ali, Muhammad Aamir
Promsakon, Chanon
Sitthiwirattham, Thanin
Source :
Fractal & Fractional. Jun2022, Vol. 6 Issue 2, p94. 1p.
Publication Year :
2022

Abstract

In this paper, we establish a generalized fractional integrals identity involving some parameters and differentiable functions. Then, we use the newly established identity and prove different generalized fractional integrals inequalities like midpoint inequalities, trapezoidal inequalities and Simpson's inequalities for differentiable convex functions. Finally, we give some applications of newly established inequalities in the context of quadrature formulas. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
25043110
Volume :
6
Issue :
2
Database :
Academic Search Index
Journal :
Fractal & Fractional
Publication Type :
Academic Journal
Accession number :
155521476
Full Text :
https://doi.org/10.3390/fractalfract6020094