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...

Täydet tiedot

Bibliografiset tiedot
Päätekijät: Dawood Khan, Saad Ihsan Butt, Youngsoo Seol
Aineistotyyppi: Artikkeli
Kieli:English
Julkaistu: SpringerOpen 2024-10-01
Sarja:Journal of Inequalities and Applications
Aiheet:
( 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
Linkit:https://doi.org/10.1186/s13660-024-03218-x

Internet

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

Samankaltaisia teoksia