Analysis of ( P , m ) $(P,\mathrm{m})$ -superquadratic function and related fractional integral inequalities with applications

Analysis of ( P , m ) $(P,\mathrm{m})$ -superquadratic function and related fractional integral inequalities with applications

Abstract In the present work we establish for the first time a class of ( P , m ) $(P,\mathrm{m})$ -superquadratic functions and look into its features. Using them, we come up with the Jensen and Hermite–Hadamard inequalities, as well as the fractional versions of Hermite–Hadamard inequalities with...

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Detaylı Bibliyografya
Asıl Yazarlar: Dawood Khan, Saad Ihsan Butt, Youngsoo Seol
Materyal Türü: Makale
Dil:English
Baskı/Yayın Bilgisi: SpringerOpen 2024-10-01
Seri Bilgileri:Journal of Inequalities and Applications
Konular:
( P , m ) $(P,\mathrm{m})$ -superquadratic function
Jensen inequality
Hermite–Hadamard inequality
Riemann–Liouville fractional integral operators
Moment of random variable
Modified Bessel function of the first kind
Online Erişim:https://doi.org/10.1186/s13660-024-03218-x

Internet

https://doi.org/10.1186/s13660-024-03218-x

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