Certain New Reverse Hölder- and Minkowski-Type Inequalities for Modified Unified Generalized Fractional Integral Operators with Extended Unified Mittag–Leffler Functions

In this article, we obtain certain novel reverse Hölder- and Minkowski-type inequalities for modified unified generalized fractional integral operators (FIOs) with extended unified Mittag–Leffler functions (MLFs). The predominant results of this article generalize and extend the existing fractional...

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Bibliographic Details
Published inFractal and fractional Vol. 7; no. 8; p. 613
Main Author Yang, Wengui
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.08.2023
Subjects
Fractional calculus
fractional integral operators
Hölder’s inequalities
Inequalities
Inequality
Jensen-type inequalities
Minkowski’s inequalities
Operators (mathematics)
power mean-type inequalities
weighted Radon-type inequalities
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Summary:In this article, we obtain certain novel reverse Hölder- and Minkowski-type inequalities for modified unified generalized fractional integral operators (FIOs) with extended unified Mittag–Leffler functions (MLFs). The predominant results of this article generalize and extend the existing fractional Hölder- and Minkowski-type integral inequalities in the literature. As applications, the reverse versions of weighted Radon-, Jensen- and power mean-type inequalities for modified unified generalized FIOs with extended unified MLFs are also investigated.
ISSN:2504-3110
2504-3110
DOI:10.3390/fractalfract7080613