New reverse Hölder-type inequalities and applications Articles uri icon

publication date

  • October 2023

start page

  • 1021

end page

  • 1038

issue

  • 4

volume

  • 26

International Standard Serial Number (ISSN)

  • 1331-4343

Electronic International Standard Serial Number (EISSN)

  • 1848-9966

abstract

  • In this paper, we establish several Hölder-type inequalities using Jensen-type and Young-type inequalities as key tools. Particularly noteworthy is a reverse Hölder inequality with the Specht¿s ratio. Furthermore, we obtain a reverse Young-type inequality and we apply these results to the fractional context, both globally and locally.

subjects

  • Mathematics

keywords

  • hölder inequality; hölder-type inequalities; riemann-liouville integral operators; conformable fractional integral operators