Some new Milne-type inequalities Articles uri icon

publication date

  • August 2024

start page

  • 1

end page

  • 14

issue

  • 106

volume

  • 2024

International Standard Serial Number (ISSN)

  • 1025-5834

Electronic International Standard Serial Number (EISSN)

  • 1029-242X

abstract

  • Inequalities play a main role in pure and applied mathematics. In this paper, we prove a generalization of Milne inequality for any measure space. The argument in the proof of this inequality allows us to obtain other Milne-type inequalities. Also, we improve the discrete version of Milne inequality, which holds for any positive value of the parameter p. Finally, we present a Milne-type inequality in the fractional context.

subjects

  • Mathematics

keywords

  • milne-type inequalities; discrete milne’s inequality; fractional integral; inequalities